MARTINDALE'S CALCULATORS ON-LINE CENTER MATHEMATICS CENTER: E-H (Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.)

US/Pacific: Thursday, May 23, 2013 Sydney, Australia: Friday, May 24, 2013 File Download Time Calculator Author, E-Mail, Privacy Policy & Disclaimer Currently the Calculators On-Line Center contains over "24,475" Calculators & Spreadsheets, over "4,200" Courses, Lectures, Manuals, Handbooks, & "1,000's" of Movies, Videos, Simulations & Animations

COMPLEX MATH: E-H Eigenvalues & Eigenvectors ~ EggMath Encryption, Cryptography, Cryptology, Quantum Cryptography, Steganography Ergodic Theory, Bers Slices, Riemann Surfaces, Teichmüller Theory, TeichmüllerSpace Fault Tolerant Computing ~ Fibonacci Numbers ~ Fourier Analysis ~ Fractals Geometry Advanced Geometry (Differential Geometry, Geometry of Manifolds, Geometric Folding Algorithms, Riemannian Geometry, Mirror Symmetry, Holomorphic Curves, etc.) Computational Geometry Graph Theory & Analysis on Graphs with applications in Math, Sciences & Engineering Graphing & Plotting Calculators Hypercube & N-Dimensional ~ Hysteresis Mathematics Center Calculators On-Line Center

Eigenvalues & Eigenvectors EIGENVALUES AND EIGENVECTORS COURSES, LECTURES, LESSONS, ETC. EIGENVALUE DEMONSTRATIONS & MINI-LECTURES ON EIGENVALUES (FLASH) - G. Strang, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Eigenvalue Demonstrations & Mini-lectures on Eigenvalues (Text, Images, Videos/Movies & Audio/Sound). VERY VERY EXTENSIVE. Examples of "Eigenvalues" Video Lectures include "...Eigenvectors and Trace Video Lecture; Powers Video Lecture; Diagonalization Video Lecture; Differential Equations Video Lecture; Symmetry Video Lecture; Positive Definite Video Lecture; etc..." For more information see the Linear Algebra Course 18-06; Gilbert Strang's Home Page; Department of Mathematics; Mathematics Courses or the MIT OpenCourseWare EIGENVALUES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS EIGENVECTORS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS EIGENEXPLORER - J.R. Senning, Department of Mathematics & Computer Science, Gordon College, Wenham, MA EigenExplorer "...is a Java applet designed to explore the the relationships between a matrix A, a vector x, and the matrix-vector product Ax..." For more information see Linear Algebra Visualization Assistant; Jonathan R. Senning's Home Page or the Department of Mathematics & Computer Science EIGENVALUES AND EIGENVECTORS - AKiTi.ca, David Binner, Vancouver, British Columbia, Canada VERY VERY EXTENSIVE. Examples of Eigenvalues and Eigenvectors Calculators include "...Eigenvalues of a 2 by 2 Matrix Calculator; Eigenvalues of a 3 by 3 Matrix Calculator; Eigenvalues of a 4 by 4 Matrix Calculator; Eigenvalues of a 5 by 5 Matrix Calculator; Eigenvalues of a 6 by 6 Matrix Calculator; etc..." For more information see Math Functions: Miscellaneous Mathematical Utilities or AKiTi EIGENVALUES AND EIGENVECTORS APPLETS - Developers: M.T. Heath, E. VanderZee, J. Schoen, J. Naisbitt, S. Sakshuwong, J. Zou, and N. Exner; Sponsored by: Computational Science and Engineering; M.T. Heath, Department of Computer Science, College of Engineering University of Illinois, Urbana-Champaign, Illinois VERY EXTENSIVE. Click on Eigenvalue Problems Eigenvalues and Eigenvectors "...illustrate properties of eigenvalues and eigenvectors of matrices, and demonstrate the behavior of algorithms for computing them..." Eignevalue Applets include: "...Power Iteration and Inverse Iteration; QR Iteration with Shifts; Jacobi's Method; Gershgorin's Theorem..." For more information see Teaching; Michael T. Heath's Home Page; Michael T. Heath's Faculty Home Page or the Department of Computer Science INTRODUCTION TO EIGENVALUES AND EIGENVECTORS (JAVA APPLET) - Department of Mathematics, Trinity College of Arts & Sciences, Duke University Introduction to Eigenvalues and Eigenvectors Calculator "...can be used to explore a linear transformation written in the form y = Ax, where A is a two-by-two matrix..." For more information see Lite Applets; The Design of Classroom Lessons in Mathematics from Web-based Materials or the Department of Mathematics EIGENVALUES AND EIGENVECTORS OF MATRICES IN TWO DIMENSIONS EIGENVALUES AND EIGENVECTORS OF MATRICES IN TWO DIMENSIONS (JAVA APPLETS) - B. Casselman, Department of Mathematics, Faculty of Science, University of British Columbia, Vancouver, Canada VERY EXTENSIVE. For more information see Topics in Geometry - Mathematics 309; Bill Casselman's Home Page or the Department of Mathematics EIGENVALUES OF A MATRIX THE OVALS OF CASSINI AND GERSHGORIN'S CIRCLES - R.S. Verga & A. Krautstengl, Department of Mathematics & Computer Science, Kent State University The Ovals of Cassini and Gershgorin's Circles "...This page presents an interactive introduction to some ideas about the location of the eigenvalues of a matrix..." For more information see Gershgorin-Type Problems; 1999 Abstracts or Electronic Transactions on Numerical Analysis (ETNA) EggMath MATHEMATICS CALCULATORS & APPLETS RELATING TO EGGS EGG MATH (JAVA APPLETS) - S. Bradlow, J. Sullivan, S. Levy & B. Klamik, Chickscope, Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign VERY EXTENSIVE. Egg Math is "...a collection of web modules (including many interactive applets) covering different topics in mathematics related to eggs..." For more information see Chickscope or the Beckman Institute for Advanced Science and Technology Examples of EggMath Calculators & Simulations include The Shape of an Egg The White/Yolk Theorem Embryo Calculus

Encryption, Cryptography

Cryptology, Quantum Cryptography

Steganography & Digitial Watermarking

Cryptography, Cryptology & Quantum Cryptography Journals & e-Prints Cryptography Dictionaries & Glossaires NIST's Cryptographic Validation, Algorithm Validation & Toolkits Cryptography Courses, Lectures, Textbooks, Lessons, etc. Quantum Cryptography Courses, Textbooks, Lessons, Publications, etc. Steganography & Digitial Watermarking Courses, Textbooks, Lessons, Publications, etc. Cryptography Calculators & Applets - All Inclusive (Affine Cipher, ElGamal Cipher, Least Common Multiple, Prime Factorization, Viginère Enciphering, etc.) Electronic Paper & Pencil Cryptography Enigma Encryption Machine Reed-Solomon Encryption ~ RSA Encryption Shift Ciphers Electrical & Computer Engineering Center: Complexity Theory Courses, Lectures, Textbooks, Calculators, etc.

Encryption - Cryptography - Cryptology - Quantum Cryptography CRYPTOLOGY, CRYPTOGRAPHY, QUNATUM CRYPTOLOGRAPHY JOURNALS & E-PRINTS Cryptography & Cryptology e-Prints CRYPTOGRAPHY AND SECURITY E-PRINTS - arXiv.org Multimedia Cryptography and Security e-Prints (Text & Images). For more information see arXiv.org CRYPTOLOGY E-PRINTS - International Association for Cryptologic Research Multimedia Cryptology e-Prints (ePrint) (Text & Images). For more information see the International Association for Cryptologic Research QUANTUM PHYSICS E-PRINTS - INCLUDES QUANTUM CRYPTOGRAPHY - arXiv.org Multimedia Quantum Physics e-Prints - Includes Quantum Cryptography (Text & Images). For more information see arXiv.org Cryptography & Cryptology Journals DESIGNS, CODES AND CRYPTOGRAPHY - Publisher: Springer Netherlands Multimedia Designs, Codes and Cryptography Journal (Text & Images). CRYPTOGRAPHY AND COMMUNICATIONS - Publisher: Springer New York Multimedia Cryptography and Communications Journal (Text & Images). CRYPTOLOGIA - Publisher: Taylor & Francis Multimedia Cryptologia Journal (Text & Images). JOURNAL OF CRYPTOLOGY - International Association for Cryptologic Research Multimedia Journal of Cryptology (Text & Images). For more information see the International Association for Cryptologic Research CRYPTOGRAPHY GLOSSARIES & CRYPTOGRAPHY DICTIONARIES CRYPTO AG'S CRYPTO & ENCRYPTION GLOSSARY - Crypto AG, Switzerland Multimedia Crypto & Encryption Glossary (Text & Images). For more information see Crypto AG RITTER'S CRYPTO GLOSSARY AND DICTIONARY OF TECHNICAL CRYPTOGRAPHY - T. Ritter Multimedia Crypto Glossary and Dictionary of Technical Cryptography (Text & Images). For more information see Ciphers By Ritter: Cryptography and Technology NIST'S CRYPTOGRAPHIC VALIDATION, ALGORITHM VALIDATION & TOOLKITS CRYPTOGRAPHIC MODULE VALIDATION PROGRAM (CMVP) - Security Management & Assurance, Computer Security Division - Computer Security Resource Center, National Institute of Standards and Technology (NIST) Multimedia Cryptographic Module Validation Program (CMVP) (Text & Images). For more information see Security Management & Assurance; Groups or the Computer Security Division - Computer Security Resource Center CRYPTOGRAPHIC ALGORITHM VALIDATION PROGRAM (CAVP) - Security Management & Assurance, Computer Security Division - Computer Security Resource Center, National Institute of Standards and Technology (NIST) Multimedia Cryptographic Algorithm Validation Program (CAVP) (Text & Images). For more information see Security Management & Assurance; Groups or the Computer Security Division - Computer Security Resource Center CRYPTOGRAPHIC TOOLKIT - Cryptographic Technology, Computer Security Division - Computer Security Resource Center, National Institute of Standards and Technology (NIST) Multimedia Cryptographic Toolkit (Text & Images). Examples of "Cryptographic Toolkit" Sections include "...Block Ciphers; Digital Signatures; Entity Authentication; Key Derivation Functions; Message Authentication; Password Usage and Generation; Secure Hashing; Algorithm Examples..." For more information see Cryptographic Technology; Groups or the Computer Security Division - Computer Security Resource Center CRYPTOGRAPHY COURSES, LECTURES, TEXTBOOKS, LESSONS, ETC. CRYPTOGRAPHY - B. Barak, Microsoft Research New England, Cambridge, MA Multimedia Cryptography (Text & Images). VERY VERY VERY...EXTENSIVE. "...This course will be an introduction to modern "post-revolutionary" cryptography with an emphasis on the fundamental ideas (as opposed to an emphasis on practical implementations)..." Examples from over "22" "Cryptography" Course Lectures include "...Perfect secrecy and its limitations; Computational model, computational security; Computational indistinguishability, pseudorandom generators; The authentication problem, CCA security; One way permutations and pseudorandom generators, Goldreich-Levin Theorem; Public key cryptography and Rabin encryption; Zero knowledge proofs; Forward security, identity-based encryption; Oblivious transfer, Private information retrieval; Secure 2-party and multiparty computation; Cramer-Shoup Cryptosystem; etc..." For more information see Courses I Taught or Co-taught at the Department of Computer Science, Princeton University Boaz Barak's Home Page or Microsoft Research New England CRYPTOGRAPHY - Z. Grunschlag, Department of Computer Science, Columbia University Multimedia Cryptography Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Cryptography" Course Lectures include "...Classical Ciphers; Cryptanalysis of Classical Ciphers; Probability Theory and Randomized Algorithms; Perfect Secrecy; Block Ciphers; Message Authentication Codes and the Discrete Log Hash Function; Computational Number Theory; Probabilistic Encryption and Computational Security; Pseudorandom Generators; etc..." For more information see the Introduction to Cryptography (COMS W4261); Courses; Zeph Grunschlag's Home Page or the Department of Computer Science CRYPTOGRAPHY - D. Wagner, Computer Science Division, University of California, Berkeley Multimedia Cryptography Course (Text & Images). VERY VERY VERY...EXTENSIVE. Cryptography "...Cryptography has been around for over two thousand years; one date commonly cited for the earliest cryptosystems is 500 BC. The Romans provide some good examples of early efforts to send secret messages, some of which were not cryptosystems as we conceive of them today. For example, they would shave a slave's head, write the message to be transmitted on the exposed skin, wait for the hair to grow back, and send the slave off to deliver the message..." Examples of "Cryptography" Course Lectures include "...Basic motivating scenarios for cryptography; Shannon secrecy; Symmetric-key encryption algorithms; Trapdoor one-way permutations; Square roots modulo n are as hard as factoring; The Goldreich-Levin theorem; Pitfalls of the random oracle model; Zero knowledge proofs; etc..." For more information see the Teaching; David Wagner or the Computer Science Division CRYPTOGRAPHY: THE FOUNDATIONS OF CRYPTOGRAPHY - O. Goldreich, Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Israel Multimedia Foundations of Cryptography Textbook (Text & Images). VERY VERY VERY...EXTENSIVE. The Foundations of Cryptography "...are the paradigms, approaches and techniques used to conceptualize, define and provide solutions to natural Cryptographic problems..." Examples of "Foundations of Cryptography Volume 2" Course Chapters include "...Encryption Schemes; Digital Signatures and Message Authentication; General Cryptographic Protocols; etc..." For more information see the Oded Goldreich's Home Page or the Faculty of Mathematics and Computer Science INTRODUCTION TO MODERN CRYPTOGRAPHY - M. Bellare & P. Rogaway, Department of Computer Science and Engineering, Jacobs School of Engineering, University of California, San Diego (USCD) Multimedia Cryptography Course (Text & Images). VERY VERY VERY...EXTENSIVE. Modern Cryptography "...is a remarkable discipline. It is a cornerstone of computer and communications security, with end products that are imminently practical. Yet its study touches on branches of mathematics that may have been considered esoteric, and it brings together fields like number theory, computational-complexity theory, and probabiltity theory..." Examples of "Cryptography" Course Lectures include "...Block ciphers; Pseudorandom functions; Symmetric encryption; Hash functions; Message authentication; Number-theoretic primitives; etc..." For more information see the Cryptography Course Home Page; Courses; Mihir Bellare's Home Page or the Department of Computer Science and Engineering MATHEMATICAL CODING THEORY - B. Cherowitzo, Department of Mathematical & Statistical Sciences, College of Liberal Arts and Sciences, University of Colorado, Denver, Colorado Multimedia Mathematical Coding Course (Text & Images). VERY VERY EXTENSIVE. Examples of "Mathematical Coding Theory" Course Lectures include "...Error Detection Schemes; Linear Codes; Decoding Linear Codes; Cyclic Codes I & II; Idempotents & Binary Cyclic Codes; Reed-Muller Codes; etc..." For more information see Mathematical Coding Theory: Math 7823 Home Page; Teaching Activity; Bill Cherowitzo's Home Page or the Department of Mathematical & Statistical Sciences MODERN CRYPTOLOGY - B. Cherowitzo, Department of Mathematical & Statistical Sciences, College of Liberal Arts and Sciences, University of Colorado, Denver, Colorado Multimedia Modern Cryptology Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Modern Cryptology" Course Lectures include "...Redundancy and Information Theory; Data Encryption Standard (DES) & Advanced Encryption Standard (AES); The extended Euclidean Algorithm; The Solovay-Strassen Primality Test; The Chinese Remainder Theorem; Coding Theory; McEliece Cryptosystem; etc..." For more information see Modern Cryptology: Math 5410 Home Page; Teaching Activity; Bill Cherowitzo's Home Page or the Department of Mathematical & Statistical Sciences CRYPTOGRAPHIC PRIMITIVES - Paul Garrett, School of Mathematics, University of Minnesota Multimedia Cryptographic Primitives - PDF, 59 Pages (Text & Images). Cryptographic Primitives emphasizes "...algorithms related mostly to RSA, primality testing, and factoring attacks, as opposed to discrete logs and/or elliptic curves, and give only simple naive forms of protocol-ideas rather than refined forms..." For more information see Paul Garrett's Home Page or the School of Mathematics QUANTUM CRYPTOGRAPHY COURSES, TEXTBOOKS, LESSONS & PUBLICATIONS FOR QUANTUM COMPUTERS, COMPUTATION, QUITS, TELPORTATION, ETC. COURSES, DATABASES & CALCULATORS SEE QUANTUM COMPUTERS, COMPUTATION, QUITS, TELPORTATION QUANTUM CRYPTOGRAPHY - arXiv.org, Cornell University Library Multimedia Quantum Cryptography Publications - PDF, 51 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. For more information see arXiv.org QUANTUM CRYPTOGRAPHY - Hoi-Kwong Lo & Yi Zhao, Center for Quantum Information and Quantum Control, Department of Physics and Department of Electrical & Computer Engineering, Universityof Toronto, Toronto, Canada; arxiv.org/pdf/0803.2507, April 1, 2008 Multimedia Quantum Cryptography - PDF, 51 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Quantum Cryptography "...is the synthesis of quantum mechanics with the art of code-making (cryptography)..." "...quantum cryptography is a branch of quantum information processing, which includes quantum computing, quantum measurements, and quantum teleportation. Among all branches, quantum cryptography is the branch that is closest to real-life applications. Therefore, it can be a concrete avenue for the demonstrations of concepts in quantum information processing..." Examples of "Quantum Cryptography" Course Chapters include "...Quantum Key Distribution: Motivation and Introduction; Security Proofs; Experimental Fundamentals; Experimental Implementation of BB84 Protocol; Other Quantum Key Distribution Protocols; Quantum Hacking; etc..." For more information see arXiv: Quantum Cryptography; arXiv.org or the Center for Quantum Information and Quantum Control QUANTUM INFORMATION NETWORKS - Quantum Information Networks, Advanced Network Technologies Division (ANTD), Information Technology Laboratory (ITL), National Institute of Standards and Technology (NIST) Multimedia Quantum Networks Publications (Text & Images). Quantum networks "...enable secure distribution of quantum crypto keys among multiple users in a commercial network infrastructure..." For more information see Advanced Network Technologies Division (ANTD) Information Technology Laboratory (ITL) or the National Institute of Standards and Technology (NIST) CRYPTOGRAPHIC PROTOCOLS UNDER QUANTUM ATTACKS - Carolin Lunemann, Department of Computer Science, Faculty of Science, Aarhus University, Denmark; arxiv.org/pdf/1102.0885v2.pdf, February 9, 2011 Multimedia Cryptographic Protocols under Quantum Attacks - PDF, 125 Pages (Text & Images). For more information see arXiv: Quantum Cryptography; arXiv.org or the Department of Computer Science INSECURITY OF POSITION-BASED QUANTUM CRYPTOGRAPHY PROTOCOLS AGAINST ENTANGLEMENT ATTACKS - Hoi-Kwong Lo & Yi Zhao, Center for Quantum Information and Quantum Control, Department of Physics and Department of Electrical & Computer Engineering, Universityof Toronto, Toronto, Canada; arxiv.org/pdf/1009.2256v3.pdf, September 31, 2010 Multimedia Insecurity of position-based quantum cryptography protocols against entanglement attacks - PDF, 13 Pages (Text & Images). For more information see arXiv: Quantum Cryptography; arXiv.org or the Center for Quantum Information and Quantum Control STEGANOGRAPHY AND DIGITAL WATERMARKING COURSES, LESSONS, TECHNICAL REPORTS, ETC. SKYDE: A SKYPE-BASED STEANOGRAPHIC METHOD - Authors: W. Mazurczyk, M. Karas & K. Szczypiorski, Department of Computer Networks and Switching, Faculty of Electronics and Information Technology, Institute of Telecommunications, Warsaw University of Technology, Warsaw, Poland; Published: January 16, 2013 in the Cryptography and Security subsection, Computer Science Section, arXiv.org Multimedia SkyDe: a Skype-based Steganographic Method - PDF, 7 Pages (Text & Images). SkyDe (Skype Hide) "...a new steganographic method that utilizes Skype encrypted packets with silence to provide the means for clandestine communication. It is possible to reuse packets that do not carry voice signals for steganographic purposes because Skype does not use any silence suppression mechanism..." For more information see Wojciech Mazurczyk; Department of Computer Networks and Switching or arXiv.org JOHNSON'S STEGANOGRAPHY AND DIGITAL WATERMARKING - Neil F. Johnson, Johnson & Johnson Technology Consultants, LLC. Multimedia Johnson's Steganography & Digitial Watermarking Lessons, Software, Technical Reports, etc. (Text & Images). Steganography "...applications conceal information in other, seemingly innocent media. Steganographic results may masquerade as other file for data types, be concealed within various media, or..." For more information see Johnson & Johnson Technology Consultants, LLC. PETITCOLAS' STEGANOGRAPHY AND DIGITAL WATERMARKING - Fabien Petitcolas Multimedia Petitcolas' Steganography & Digitial Watermarking Lessons, Software, Technical Reports, etc. (Text & Images). For more information see Fabien Petitcolas Home Page

CRYPTOGRAPHY CALCULATORS & APPLETS: ALL INCLUSIVE ENCRYPTION CALCULATORS & APPLETS: ALL INCLUSIVE SAGE & SAGE NOTEBOOK - Sage VERY VERY VERY...EXTENSIVE. SAGE "...can be used to study a general and advanced, pure and applied mathematics. This includes a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra..." CRYPTOGRAPHY (MATH 390) - T. Linton, Department of Mathematics & Computer Science, Central College, Pella, Iowa VERY VERY EXTENSIVE. Cryptography "...refers to writing, using various methods to keep the message a secret, as well as more modern applications (like web security, user authentication, etc.) of these methods. Cryptanalysis is the science of attacking secret messages or decrypting ciphers. The term cryptology encompasses both directions (making the codes and breaking the codes)..." For more information see Tom Linton's Home Page or the Department of Mathematics & Computer Science Some examples from over "12" Cryptography Calculators include Modular Multiplier Calculator Cryptogram Calculator Index of Coincidence Calculator Kasiski and Splitter Calculator CRYPTOGRAPHY AND NUMBER THEORY - F. Richman, Department of Mathematics, Florida Atlantic University VERY VERY EXTENSIVE. For more information see Fred Richman's Home Page; Fred Richman's Faculty Home Page or the Department of Mathematics Some examples from over "11" Cryptography Calculators include Shift Ciphers Calculator Viginère Enciphering Calculator Monographic Frequencies Calculator Primality Testing with Fermat's Little Theorem Calculator CRYPTOGRAPHY DEMOS - P. Hriljac, Embry-Riddle Aeronautical University VERY EXTENSIVE. For more information see Project; ERAU Prescott Campus or Embry-Riddle Aeronautical University Some examples from over "6" Cryptography Applets include Diffusion in SDES Simulation Applet Subkey Generation in SDES Simulation Applets

ELECTRONIC PAPER & PENCIL CRYPTOGRAPHY CALCULATORS & APPLETS CIPHERCLERK'S APPLET - W.M. Plotz, Austria VERY EXTENSIVE. CipherClerk's Applet "...is implementing a collection of historic ciphers. Most ciphers are 'paper & pencil' types, e.g. to use them you wouldn't need more than a sheet of paper and something to write...." For more information see Wilhelm M. Plotz's Home Page Examples of other Cipher Applets include Virtual U.S. Army Cipher Device, Model M-94 Major Bazeries Cipher Device ENIGMA ENCRYPTION MACHINE CALCULATORS & APPLETS THE ENIGMA MACHINE (JAVA APPLET) - R. Schwager VERY EXTENSIVE. The Enigma Machine Applet "...has several variable settings that affect the operation of the machine. The user must select three rotors from a set of rotors to be used in the machine. A rotor contains one-to-one mappings of all the letters. Some Enigma machines had more than 3 rotors which just added to the number of possible encryption combinations..." REED-SOLOMON ENCRYPTION CALCULATORS & APPLETS FINITE FIELD CALCULATOR AND REED-SOLOMON SIMULATOR (JAVA APPLET) - E. Soljanin, Bell Labs, Alcatle-Lucent, Murray Hill, New Jersery VERY EXTENSIVE. Finite Field Calculator "...allows arithmetic over extension fields of GF(2)..." Reed-Solomon Encoder/Decoder Calculator "...A codeword is generated based on a random information word. A random set of t errors is generated and added to the codeword..." For more information see Emina Soljanin's Home Page or Bell Labs RSA ENCRYPTION CALCULATORS & APPLETS FINDING THE RSA PUBLIC KEY (JAVA APPLET) - Andreas de Vries, Math It, Fachbereich Technische Betriebswirtschaft, Germany In English & German/Deutsch. VERY EXTENSIVE. Finding the RSA Public Key Simulation "...determines the RSA public key (e, n) depending on the given secret key (d, p, q)..." For more information see Math It Mathematical Applets or Math It RSA DEMO APPLET - R. Holowczak, Computer Information Systems, Zicklin School of Business, Baruch College, CUNY VERY EXTENSIVE. RSA Applet "...demonstrates the basics of RSA Public Key cryptography..." For more information see Electronic Commerce CIS 9444; Richard Holowczak's Home Page or Computer Information Systems SHIFT CIPHERS CALCULATORS & APPLETS SHIFT CIPHERS - J.J. Holt (University of Virginia) & J.W. Jones (Arizona State University) and hosted by the Department of Mathematical Sciences, Michigan Technological University; a W. H. Freeman and Company Production Shift Ciphters Calculator "...When implementing the shift cipher, each letter of the message is shifted a fixed distance down the alphabet..." For more information see Applications of Congruences; Number Theory or the Department of Mathematical Sciences

Ergodic Theory, Bers Slices, Riemann Surfaces, Teichmüller Theory, Teichmüller Space ERGODIC THEORY, RIEMANN SURFACES, TEICHMTÜLLER THEORY & TEICHMTÜLLER SPACE COURSES & SEMINARS ERGODIC THEORY - B.J. Green, Department of Pure Mathematics & Mathematical Statistics, Faculty of Mathematics, University of Cambridge Multimedia Graduate Ergodic Theory Course - PDF (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of Graduate "Ergodic Theory" Course Chapters include "...Van der Waerden's theorem by topological dynamics; Introduction to ergodic theory. Ergodic theorems; Applications of the ergodic theorems; The Furstenberg-Sarkozy Theorem; Szemeredi's Theorem; Orbits on the Heisenberg nilmanifold; etc..." For more information see Graduate Courses; Ben J. Green's Home Page or the Department of Pure Mathematics & Mathematical Statistics ERGODIC THEORY (254A) - T. Tao, Analysis Group, Department of Mathematics, Division of Physical Sciences, College of Letters and Science, UCLA Multimedia Ergodic Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Ergodic Theory" Course Lectures include Lecture 8: The mean ergodic theorem; Lecture 9: Ergodicity; Lecture 10: The Furstenberg correspondence principle; Lecture 15: The Furstenberg-Zimmer structure theorem and the Furstenberg recurrence theorem; Lecture 16: A Ratner-type theorem for nilmanifolds; etc..." For more information see Terence Tao's Home Page at Wordpress.com; 254B; Terence Tao's Home Page; Analysis Group or the Department of Mathematics ERGODIC THEORY - K. Petersen, Department of Mathematics, University of North Carolina Multimedia Graduate Ergodic Theory Lectures - PDF, 28 Pages (Text & Images). VERY VERY EXTENSIVE. For more information see Karl Petersen's Home Page or the Department of Mathematics RIEMANN SURFACES, DYNAMICS, GEOMETRY & TEICHMTÜLLER THEORY - C.T. McMullen, Department of Mathematics, Faculty of Arts & Sciences, Havard University Multimedia Riemann Surfaces, Dynamics, Geometry & Teichmüller Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Riemann Surfaces, Dynamics, Geometry & Teichmüller Theory Course "...will concern the interaction between: hyperbolic geometry in dimensions 2 and 3; the dynamics of iterated rational maps; and the theory of Riemann surfaces and their deformations..." Examples of "Riemann Surfaces, Dynamics, Geometry & Teichmüller Theory" Course Chapters include "...Geometric Function Theory; Teichmüller Theory; Dynamics of Rational Maps; Hyperbolic 3-Manifolds; Holomorphic Motions and Structural Stability; Iteration on Teichmüller Space; Geometrization of 3-Manifolds; etc..." For more information see Courses; C.T. McMullen's Home Page or the Department of Mathematics CALCULATORS, APPLETS & SOFTWARE BEAR: BERS SLICES OF PUNCTURED TORI - D. Dumas, Department of Mathematics, Statistics, and Computer Science, College of Liberal Arts & Sciences, University of Illinois, Chicago, Illinois VERY VERY VERY...EXTENSIVE. BEAR: BERS Slices of Punctured Tori Calculator "...is a mathematical research tool for calculating and testing discreteness of holonomy representations of complex projective structures on punctured tori. It can be used to draw pictures of Bers slices and explore the geometry of quasifuchsian space in the SL2(C) representation..." For more information see David Dumas' Home Page or the Department of Mathematics, Statistics, and Computer Science RANDOM CHORDS APPLET - D. Dumas, Department of Mathematics, Statistics, and Computer Science, College of Liberal Arts & Sciences, University of Illinois, Chicago, Illinois VERY EXTENSIVE. Random Chords Applet "...demonstrates a result from the paper Distribution of intersection lengths of a random geodesic with a geodesic lamination by..." For more information see David Dumas' Home Page or the Department of Mathematics, Statistics, and Computer Science Fault Tolerant Computing FAULT TOLERANT COMPUTING COURSES, TEXTBOOKS, LECTURES, CALCULATORS, APPLETS, ETC. FAULT TOLERANT COMPUTING SIMULATOR (JAVA APPLETS) - I. Koren, Department of Electrical and Computer Engineering, College of Engineering, University of Massachusetts VERY VERY VERY...EXTENSIVE. Examples of "Fault Tolerant Computing" Subject Categories include "...Error Detection and Correction Codes; Fault Detection in Encryption Algorithms; Reliability Evaluation; Networks; etc..." For more information see Israel Koren's Home Page or the Department of Electrical and Computer Engineering Examples from over "27" Fault Tolerant Computing Calculators & Applets include The Cyclic Code Simulator: Cyclic Encoder/Decoder Systematic and Standard Cyclic Codes Arithmetic Encoder/Decoder Applet Advanced Encryption Algorithm - Detection: Fault Detection in AES Encoder and Decoder Applet 4-state Markov Chain Solver Calculator Calculation of Terminal Reliability for Two Nodes in a Network Applet Checkpointing Calculators Checkpointing Calculators include Uniprocessor Checkpointing for Multiple Instructions Calculator; Domino Effect Animation for Distributed Checkpointing Calculator. Fibonacci Numbers FIBONACCI COURSES, TEXTBOOKS, LECTURES & LESSONS WITH CALCULATORS & SIMULATIONS FIBONACCI NUMBERS AND THE GOLDEN SECTION - R. Knott, and hosted by the Department of Mathematics of Surrey University, U.K. Multimedia Fibonacci Numbers Lectures & Lessons (Text, Images, Calculators, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Examples of "Fibonacci Numbers and the Golden Section" Lectures & Lessons include Fibonacci Numbers and Nature; The Mathematical Magic of the Fibonacci Numbers "...looks at the patterns in the Fibonacci numbers themselves: the Fibonacci numbers in Pascal's Triangle; using the Fibonacci series to generate all right-angled triangles with integers sides based on Pythagoras Theorem..." Two-dimensional Geometry and the Golden section or Fantastic Flat Facts about Phi; etc. For more information see Fibonacci Numbers and the Golden Section or Ron Knott's Home Page FIBONACCI CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FIBONACCI AND LUCUAS NUMBERS CALCULATORS & APPLETS FIBONACCI AND LUCUAS NUMBER CALCULATOR - R. Knott, and hosted by the Department of Mathematics of Surrey University, U.K. VERY VERY EXTENSIVE. "...For Fibonacci(i) and Lucas(i) you have a choice of Precision: exact or approximate. Exact: the calculator will find Fibonacci(i) and Lucas(i) for i into the thousands..." Approximate: Immediate result. The length of the answer decreases as i gets larger..." For more information see Fibonacci Numbers and the Golden Section or Ron Knott's Home Page FIBONACCI SERIES CALCULATORS & APPLETS GENERALISING THE FIBONACCI SERIES - R. Knott, and hosted by the Department of Mathematics of Surrey University, U.K. VERY VERY EXTENSIVE. For more information see Fibonacci Numbers and the Golden Section or Ron Knott's Home Page Some examples of Fibonacci Calculators include General Fibonacci Series Calculator General Fibonacci Series Calculator "...is a simple calculator to show you some terms of a General Fibonacci Series..." Wythoff Array Calculator Stolarsky Array Calculator FIBONACCI NUMBER SYSTEM CALCULATORS & APPLETS A FIBONACCI NUMBER SYSTEM - K.M. Levasseur, Department of Mathematical Sciences, University of Massachusetts Lowell VERY EXTENSIVE. Fibonacci Number System Calculator INPUT Values include: "...Enter a positive integer..." For more information see UMass Lowell WebMathematicaScripts; Kenneth M. Levasseur's Home Page; Department of Mathematical Sciences or HostSRV FIBONACCI SEQUENCES CALCULATORS & APPLETS FIBONACCI SEQUENCES WITH MULTIPRECISION JAVA - F. Richman, Department of Mathematics, Florida Atlantic University VERY EXTENSIVE. Fibonacci Sequences Calculator "...You can set the initial values, the number of terms in the sequence, and the number of decimal places in the ratios..." For more information see JavaScripts or Fred Richman's Home Page; Fred Richman's Faculty Home Page or the Department of Mathematics

Fourier

Fourier Analysis Courses & Lectures Fourier Transform & Fast Fourier Transform Discrete Fourier Transform ~ Fourier-Laplace Fourier Transform Experimentation: Image Processing Fourier Series ~ Fourier Synthesis

Fourier FOURIER ANALYSIS COURSES, LECTURES, TEXTBOOKS, MANUALS, ETC. THE FOURIER TRANSFORM AND ITS APPLICATIONS - B.G. Osgood, Department of Electrical Engineering; Engineering Courses Online: Stanford Engineering Everywhere (SEE), School of Engineering, Stanford University Multimedia The Fourier Transform and Its Applications Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Examples from over "29" "The Fourier Transform and Its Applications" Video Course Lectures include Lecture 2 "...Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions, Example Of Periodizing A Signal, Discussion Of How To Model Signals With Sinusoids, "One Period, Many Frequencies" Idea In Modeling Signals, Modeling A Signal A,..." Lecture 6 "...Setup For Fourier Transform Derivation From Fourier Series, Results Of The Derivation: Fourier Transform And Inverse Fourier Transform, Definition Of The Fourier Transform (Analysis), Definition Of Fourier Inversion (Synthesis),..." Lecture 12 "...Cop Story, Review Of Rapidly Decreasing Functions, Generalized Functions (Distributions) (Delta Function, Etc.), Viewing Delta As A Limit V. Operationally,..." Lecture 15 "...Application Of The Fourier Transform: Diffraction: Setup, Representation Of Electric Field, Approach Using Huyghens' Principle, Discussion Of The Phase Change Associated With Different Paths,..." Lecture: 22 "...FFT Algorithm: Setup: DFT Matrix Notation, One Intuition Behind FFT: Factoring Matrix, Our Approach: Split Order N Into Two Order N/2, Iterate, Notation (To Keep Track Of Powers Of Complex Exponentials),..." etc. For more information see Courses; Stanford Engineering Everywhere (SEE); Brad Osgood's Home Page; Department of Electrical Engineering or the School of Engineering FOURIER AND COMPLEX ANALYSIS - R.L. Herman, Department of Mathematics and Statistics, College of Arts & Sciences, University of North Carolina, Wilmington, North Carolina Multimedia Fourier and Complex Analysis Course (Text & Images). VERY VERY VERY...EXTENSIVE. "An Introduction to Fourier and Complex Analysis with Applications to the Spectral Analysis of Signals" "...This is an introduction to topics in Fourier analysis and complex analysis. It is a course aimed at students majoring in mathematics and science who are at least at their junior level of mathematical maturity. Students are introduced to Fourier series, Fourier transforms, and a basic complex analysis..." Examples of "An Introduction to Fourier and Complex Analysis with Applications to the Spectral Analysis of Signals" Course Lectures include "...Sequences and Series; Fourier Series; Generalized Fourier Series; Complex Integration; Discrete Transforms; Signal Analysis; etc..." For more information see Lectures; Russell L. Herman's Home Page or the Department of Mathematics and Statistics FOURIER ANALYSIS 1 - Christoph Thiele, Department of Mathematics, University of California, Los Angeles (UCLA) Multimedia Fourier Analysis 1 Lecture, PDF, 48 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Fourier Analysis 1" Lectures include "...Schwartz Functions; The Space S(Rn) as Frechet Space; The Fourier Transform; Tempered Distributions; Intermediate Banach Spaces, Regularity; The Poisson Summation Formula; Paley Wiener Theroems; Distributions versus Tempered Distributions; etc..." For more information see Lectures; Christoph Thiele's Home Page or the Department of Mathematics FOURIER ANALYSIS 2 - CLASSICAL FOURIER ANALYSIS - Christoph Thiele, Department of Mathematics, University of California, Los Angeles (UCLA) Multimedia Fourier Analysis 2 Lecture, PDF, 51 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Fourier Analysis 2 - Classical Fourier Analysis" Lectures include "...The Haar Basis; The Calderon Zygmund Decomposition; The Littlewood Paley Square Function; Khintchine's Inequality; The Space BMO as Function Space; Maximal Truncated Singular Integrals; Paraproducts and a Discrete T1 Theorem; The Cotlar-Stein Lemma; etc..." For more information see Lectures; Christoph Thiele's Home Page or the Department of Mathematics FOURIER ANALYSIS: THEORY & APPLICATIONS - R. Melrose, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Fourier Analysis: Theory and Applications Course (Text & Images). VERY VERY VERY...EXTENSIVE. Fourier Analysis: Theory and Applications "...Roughly half of the subject is devoted to the theory of the Lebesgue integral with applications to probability, and half to Fourier series and Fourier integrals..." Examples of "Fourier Analysis: Theory and Applications" Course Lectures include "...Chebyshev's Inequality; Law of Large Numbers; The Integral; Fatou's Lemma; Bessel's Inequality: Convergence of Fourier Series; Riesz Representation Theorem; Fourier Transform; Hilbert-Schmidt Operators; etc..." For more information see Richard Melrose's Home Page; Department of Mathematics; Mathematics Courses or the MIT OpenCourseWare FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS - J.N. Kutz, Department of Applied Mathematics, College of Arts & Sciences, University of Washington Multimedia Fourier Analysis and Partial Differential Equations Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples From over "23" "Fourier Analysis and Partial Differential Equations" Course Lectures include "...The Diffusion Equation and Separation of Variables; Fourier Analysis; Nonhomogeneous PDEs and Eigenfunction Expansions; Sturm-Liouville Theory: nonhomogeneous problems; The Dirac Delta Function and Green's Functions; General Theory for Green's Functions; Fourier Transforms; Laplace Tranform; The Wave Equation; Solving the Wave Equation via Transforms; Higher Order Equations; First-order Equations: Method of Characteristics; Nonlinear Waves and Shocks; etc..." For more information see J. Nathan Kutz's Home Page; J. Nathan Kutz's Faculty Home Page or the Department of Applied Mathematics HIGHER ORDER FOURIER ANALYSIS (254B) - T. Tao, Analysis Group, Department of Mathematics, Division of Physical Sciences, College of Letters and Science, UCLA Multimedia Higher Order Fourier Analysis Graduate Course - PDF, 221 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Higher Order Fourier Analysis" Graduate Course Chapters & Subchapters include Chapter I: Higher Order Fourier Analysis "...Equidistribution of polynomial sequences in tori; Roth’s theorem; Equidistribution of polynomials over finite fields; The inverse conjecture for the Gowers norm I. The finite field case; The inverse conjecture for the Gowers norm II; The integer case Linear equations in primes; etc..." Chapter II: Related Articles "...Ultralimit analysis and quantitative algebraic geometry; Higher order Hilber spaces; etc..." For more information see Higher Order Fourier Analysis; 254B; Terence Tao's Home Page; Analysis Group or the Department of Mathematics HARMONIC ANALYSIS - W. Schlag, Department of Mathematics, Division of Physical Sciences, University of Chicago Multimedia Harmonic Analysis Textbook - PDF, 93 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Harmonic Analysis" Textbook Chapters include "...Fourier Series: Convergence and Summability; Harmonic Functions on the Disk and Poisson Kernel; L1 bounded analytic functions and the F. & M. Riesz theorem; The Conjugate Harmonic Function; Calderon-Zygmund Theory of Singular Integrals; Almost Orthogonality; Schauder Estimates; LP -multipliers, Mikhlin theorem and Littlewood-Paley theory; Restriction of the Fourier transform, Stein-Tomas theorem, Strichartz estimates; The endpoint for the Stein-Tomas theorem and Strichartz estimates; Some pointwise questions for Fourier series: the case of L1 (T); etc..." For more information see the Wilhelm Schlag's Home Page or the Department of Mathematics FOURIER TRANSFORM CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FOURIER CALCULATORS & APPLETS FOURIER TRANSFORMS CALCULATORS & APPLETS FFT ALGORITHM CALCULATORS & APPLETS FFT CALCULATORS & APPLETS FAST FOURIER TRANSFORM (FFT) FOR POLYNOMIAL MULTIPLICATION (JAVA APPLET) - Author: J. Beaver & Hosted by K. Pruhs, Department of Computer Science, University of Pittsburgh VERY VERY EXTENSIVE. Fast Fourier Transform for Polynomial Multiplication Calculator "...includes a description of the algorithm, a description of the Roots of Unity, a step feature which allows the user to see what is going on in the algorithm, and a multimedia section..." For more information see Applets; Applet Demonstration; CS 1501; Kirk Pruhs's Home Page or the Department of Computer Science FAST FOURIER TRANSFORM CALCULATOR - J. Clymer, Cincinnati, Ohio VERY EXTENSIVE. Fast Fourier Transform (FFT) Calculator "...performs Fourier Transforms, and DHTML to produce graphs of functions..." For more information see Jeffery Clymer's Home Page FAST FOURIER TRANSFORM (FFT) LABORATORY (JAVA APPLET) - D. Hale, Stanford Exploration Project (SEP), Stanford University For more information see Dave Hale's Home Page or the Stanford Exploration Project (SEP) FOURIER (JAVA APPLET) - R. E. Williamson & S. Schwarz, Dartmouth University VERY EXTENSIVE. Fourier Calculator "...Computes Fourier coefficients of a function,and plots the function and the Fourier approximation of degree at most 20..." For more information see Interactive Math Programs or the Department of Mathematics FOURIER TRANSFORMS (FT) OF A GIVEN POINTSET (JAVA APPLET) - S. Weber VERY EXTENSIVE. Fourier Transform on Periodic Point Sets Calculator "...calculates Fourier transforms (FT) of a given pointset. The pointset is generated by the plane space groups (see Project 22). You may transform all points..." For more information see Java Applets; Steffen Weber's Home Page or JCrystal FOURIER TRANSFORMS (FT) OF QUASIPERDIODIC POINT SETS (JAVA APPLET) - S. Weber VERY EXTENSIVE. For more information see Java Applets; Steffen Weber's Home Page or JCrystal DISCRETE FOURIER TRANSFORM CALCULATORS & APPLETS DISCRETE FOURIER TRANSFORM: FFT OF "BIT PATTERN" APPLET & FFT OF ARBITRARY FUNCTION APLET - Bert G. Wachsmuth, Department of Mathematics and Computer Science, Seton Hall University VERY VERY EXTENSIVE. Fast Fourier Transform of "Bit Pattern" Calculator "...illustrates what happens when trying to send bits representing a character (coded as the 8-bit ASCI code) though a wire that includes a "low-pass" filter, i.e. frequencies above a certain point are filtered out..." Fast Fourier Transform of Arbitrary Function Calculator "...lets you enter an arbitrary function and decompose it into its Fourier coefficients..." For more information see Bert G. Wachsmuth's Home Page; Bert G. Wachsmuth's Faculty Home Page or the Department of Mathematics and Computer Science FOURIER-LAPLACE CALCULATORS & APPLETS FOURIER-LAPLACE CALCULATOR - Xiao Gang, Laboratoire J.-A. Dieudonné, Université de Nice, Nice, France VERY EXTENSIVE. Fourier Laplace Calculator "...computes the Fourier transform or Laplace transform of a function, and their inverse transforms..." For more information see WIMS FOURIER TRANSFORM EXPERIMENTATION CALCULATORS & APPLETS - IMAGE PROCESSING INTERACTIVE FOURIER TRANSFORM EXPERIMENTATION - IMAGE PROCESSING (JAVA APPLET) - R. Fisher, S. Perkins, A. Walker and E. Wolfart, School of Informatics, University of Edinburgh, Edinburgh, Scotland, U.K. VERY VERY EXTENSIVE. For more information see Interactive Experimentation; HIPR2: Hypertext Image Processing Reference; Robert Fisher's Home Page or the School of Informatics FOURIER SERIES CALCULATORS & APPLETS FOURIER SERIES (JAVA APPLET) - F. Embacher & P. Oberhuemer, Universität Wien, Austria Fourier Series Calculator: "...the user may choose the first 21 coefficients of a Fourier series by means of scroll bars and to look at the graph of the resulting function..." For more information see Applets or Maths Online FOURIER SERIES APPROXIMATION (JAVA APPLET) - Project Director: W.J. Rugh, Department of Electrical and Computer Engineering, Whiting School of Engineering, Johns Hopkins University Fourier Series Calculator allows you to "...explore the Fourier series approximation, select a labeled signal, use the mouse to sketch one period of a signal, or use the mouse to modify a selected signal. Specify the number of harmonics, N, and..." For more information see the Signals, Systems & Controls or the Department of Electrical and Computer Engineering FOURIER SERIES CALCULATION FOR TYPICAL DIGITAL WAVEFORMS - EE Circle VERY EXTENSIVE. Fourier Series Calculator for Typical Digital Clock Waveforms "...Computes complex Fourier series coefficients (harmonics) of rectangular, triangular or trapezoidal shaped waveform & Plots both the time-domain waveform and the magnitude of the coefficients..." For more information see EE Applets or EE Circle FOURIER SERIES SIMULATION (JAVA APPLET) - P. Falstad VERY EXTENSIVE. Fourier Series Calculator "...is a method of expressing an arbitrary periodic function as a sum of cosine terms. In other words, Fourier series can be used to express a function in terms of the frequencies..." For more information see Math, Physics & Engineering Applets or Paul Falstad's Home Page FOURIER SYNTHESIS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FOURIER SYNTHESIS (JAVA APPLET) - Yves Moreau & J. Porque, Group Photonique, Département Photonique & Ondes, Institut d'Electronique, Université Montpellier 2 - Sciences et Techniques, Montpellier, France VERY VERY EXTENSIVE. Available in English & French/Français. Fourier Synthesis Calculator "...choose a saturated cosine, a square signal, a rectified cosine or triangle signal (choose curve on top line). Vary the frequency, the amplitude and phase and play it...Then click on add comp to let the computer generate the first component (cosine) of the fourier expansion..." For more information see Group Photonique (Photonics Group); Département Photonique & Ondes or the Institut d'Electronique FOURIER SYNTHESIS (JAVA APPLET) - M. Thole, Institut für Netzwerktheorie und Schaltungstechnik, Braunschweig, Bundesrepublik Deutschland (Germany) VERY EXTENSIVE. Fourier Synthesis Calculator "...A periodic signal can be described by a Fourier decomposition as a Fourier series, i. e. as a sum of sinusoidal and cosinusoidal oscillations..." For more information see Schaukasten FOURIERSYNTHESE (JAVA APPLET) - M. Thole, Institut für Netzwerktheorie und Schaltungstechnik, Braunschweig, Bundesrepublik Deutschland (Germany) VERY EXTENSIVE. Fourier Synthesis Calculator "...Ein periodisches Signal kann durch eine Fourierzerlegung mathematisch..." For more information see Schaukasten

Fractals ANATOMY OF MANDELBROT AND JULIA SETS LESSONS, LECTURES, CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS "ANATOMY" OF THE MANDELBROT AND JULIA SETS (JAVA APPLETS) - E. Demidov, Department of Semiconductor Physics, Institute for Physics of Microstructures (IPM), Russian Academy of Sciences (RAS), Russia VERY VERY VERY....EXTENSIVE. Available in English & Russian. "...A virtual investigation with interactive pictures..." For more information see E-notes Some examples from over "40" Mandelbrot & Julia Sets Applets include Attractors: Tangent bifurcations Renormalization: "Inverse" quadratic-like maps Crises: Complex Crises Intermittency: Transition to chaos through intermittency Period doubling cascade: Reverse period doubling cascades Chaotic dynamics: Distance Estimator algorithm FRACTAL COURSES, LECTURES, CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FRACTAL GEOMETRY (MATH 190) - Michael Frame, Benoit Mandelbrot (1924-2010) & Nial Neger, Department of Mathematics, Yale University Multimedia Fractal Geometry Course (Text, Images, Applets, etc.). VERY VERY VERY...EXTENSIVE. Fractals Applets are a "...series of simulators is for teaching Fractal Geometry..." For more information see Michael Frame's Home Page or Department of Mathematics FRACTALS (JAVA APPLETS) - G. Booth VERY VERY EXTENSIVE. For more information see Portfolio or Ginger Booth's Home Page PATTERNS IN NATURE (JAVA APPLET) - P. Trunfio & G. McGath, Center for Polymer Studies, Department of Physics, Boston University VERY EXTENSIVE. Patterns in Nature consists of "...a number of hands-on activities, laboratory experiments, and interactive visualization programs for which encourage students to explore how fundamentally random microscopic events can give rise to fractal macroscopic patterns..." For more information see Center for Polymer Studies or the Department of Physics Examples of Fractal Applets include Diffusion Limited Aggregation Applet (Aggregation: Growing Fractal Structures) Fractal Coastlines Applet The Anthill and Molecular Motion Applet FRACTAL MODELING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FRACTAL GALLERIES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FRACTALS: 3D STRANGE ATTRACTORS AND SIMILAR OBJECTS - T. Stilson, Center for Computer Research in Music and Acoustics, Stanford University VERY VERY EXTENSIVE. For more information see Tim Stilson's Welcome Page or the Center for Computer Research in Music and Acoustics JULIA SETS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS MANDELBROT SETS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS JULIA AND MANDELBROT SET GENERATION - D.E. Joyce, Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts VERY EXTENSIVE. For more information see Dave's Geometric Pix Gallery; David Joyce's Home Page; David Joyce's Faculty Home Page or the Department of Mathematics and Computer Science Examples of Related Applets include Quilted Millefiori with parameters Kaleidoscope Newton Basin Generation MANDELBROT APPLET - P. Alfeld, Department of Mathematics, University of Utah VERY EXTENSIVE. For more information see Java Page or Peter Alfeld 's Home Page MANDELBROT EXPLORER - Panagiotis Christias, Department of Electrical and Computer Engineering, National Technical University of Athens (NTUA), Greece VERY EXTENSIVE. For more information see the National Technical University of Athens (NTUA) MANDELBROT AND JULIA SET EXPLORER - D.E. Joyce, Department of Mathematics and Computer Science, Clark University VERY EXTENSIVE. For more information see David Joyce's Home Page; David Joyce's Faculty Home Page or the Department of Mathematics and Computer Science

Geometry

Basic Geometry & Trigonmetry Lessons & Calculators Middle School - High School Geometry Courses, Textbooks, Lectures & Lessons with Calculators & Applets Euclid's Elements ~ Eculidean & Non-Eculidean Geometry Pythagorean & Pythagorean Triples Geometry Calculators & Applets All Inclusive Geometry Calculators & Applets by Various Categories Advanced Geometry ( (Differential Geometry, Geometry of Manifolds, Geometric Folding Algorithms, Riemannian Geometry, Mirror Symmetry, Holomorphic Curves, etc.)) Computational Geometry

Geometry MIDDLE SCHOOL - HIGH SCHOOL GEOMETRY & TRIGONMETRY COURSES, LESSONS, CALCULATORS & APPLETS Geometry Courses, Lessons, Calculators, etc. GEOMETRY - Kan Academy, Mountain View, California Multimedia Geometry Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Browse down to Geometry Examples from over "60" Geometry Video Lectures include "...Measuring Angles in Degrees Video Lecture; Using a Protractor Video Lecture; Angles at the intersection of two lines Video Lecture; Conic Sections: Circles, Ellipses & Hyperbolas Video Lectures; Congruent Triangle Video Lecture; Triangle Area Proofs Video Lecture; Area of Koch Snowflake Video Lecture; Pythagorean Theorem Proof Using Similarity Video Lecture; Area and Perimeter Video Lecture; Cylinder Volume and Surface Area Video Lecture; Triangle Medians and Centroids Video Lecture; Inradius Perimeter and Area Video Lecture; etc..." For more information see the Kan Academy Team GEOMETRIC FORMULAS - Web page design, diagrams, and applets by S. Seastone, Ask Dr. Math, The Math Forum, Swarthmore College Multimedia Geometry Lessons with Applets (Text & Images). VERY VERY VERY...EXTENSIVE. Geometric Lessons & Formulas for Perimeter, Area, Volume, etc. includes Two-dimensional Figures "...also called a plane or planar figure, is a set of line segments or sides and curve segments or arcs, all lying in a single plane. The sides and arcs are called the edges of the figure. The edges are one-dimensional, but they lie in the plane, which is two-dimensional..." Three-dimensional Figures "...sometimes called a solid figure, is a set of plane regions and surface regions, all lying in three-dimensional space. These surface regions are called the faces of the figure. Each of them is two-dimensional. The arcs of curves that are the edges of the faces of the figure are called the edges of the figure..." Geometric Lessons, Formulas & Applets include "...Triangles; Quadrilaterals; Regular Polygons; Circles; etc..." For more information see Formulas; Ask Dr. Math FAQ or The Math Forum GEOMETRY (JAVA APPLETS) - Asian Technology Conference in Mathematics (ATCM) VERY VERY VERY...EXTENSIVE. Geometry Applet Subject Categories include: "...Angles and Pararell Applets; Congruent Figures and Triangles Applets; Quadrilaterals and Conservation Applets; Similar Figures Applets; Circle Applets; Pythagorean Theorem Applets; etc..." For more information see Manipula Math With Java or Math Education and Technology Examples of Categories which include more than '90' Geometry Applets Angle and Parallel Lines Applets Congruent Figures and Triangles Applets Circle Applets GEOMETRY APPLETS - National Library of Virtual Manipulatives, Utah State University VERY EXTENSIVE. Available in English, French & Spanish. For more information see the National Library of Virtual Manipulatives TRIANGLE CALCULATORS (JAVA APPLETS) - Saltire Software, Beaverton, Oregon Triangle Calculators "...allow you to calculate a triangle based on the specified parameters..." For more information see Geometry Gallery or Saltire Software Some examples of Triangle Calculators include Triangle Given 3 Sides Calculator Triangle Given 2 Angles and the Included Side Calculator Derived Qantities Calculator Trigonometry Courses, Lessons, Calculators, etc. TRIGONOMETRY - Kan Academy, Mountain View, California Multimedia Trigonometry Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Browse down to Trigonometry Examples from over "40" Trigonometry Video Lectures include "...Basic Trigonometry Video Lecture; Using Trig Functions Video Lecture; Graph of the sine function Video Lecture; Graphing trig functions Video Lectures; Trigonometric Identities Video Lecture; Law of cosines Video Lecture; Polar Coordinates Video Lecture; etc..." For more information see the Kan Academy Team TRIGONMETRY CALCULATORS & APPLETS (METRIC) - Wonga Beach Q.L.D. Australia VERY VERY EXTENSIVE. Trigonmetry Calculators include: "...Triangles Calculator; Circles Calculator; Angles Calculator..." Circles Calculator "...gives Horizontal Tank Volume Litres & Sphere Litres..." You can also "...input Horizontal Tank (cylinder) Length; Input Type of Liquid "...some examples from over 50 Liquids/Chemials: Acetone, Alcolol, Benzene, Caster Oil,Crude Oil, Gasoline, Heptane, Propane, Water, etc..." Output Values include Total Litres that the Horizontal Cylinder Tank will hold and the Weight. For more information see Blocklayer TRIGONMETRY CALCULATORS & APPLETS - Asian Technology Conference in Mathematics (ATCM) VERY VERY VERY...EXTENSIVE. Examples form over "24" Trigonmetry Calculators & Applets include: "...Sine Function Box; Tangent Function Box; Cosine Function Box; Graph of y=sin ax; The Law of Cosines; Law of Sines; etc..." For more information see Manipula Math With Java or Math Education and Technology GEOMETRY COURSES, TEXTBOOKS & LESSONS WITH CALCULATORS, APPLETS, ANIMATIONS SIMULATIONS GEOMETRY - Alexander Bogomolny Multimedia Lessons with Calculators & Applets (Text & Images). VERY VERY VERY...EXTENSIVE. Geometry "...Geometry is a branch of mathematics that is concerned with the properties of configurations of geometric objects - points, (straight) lines, and circles being the most basic of these..." For more information see Interactive Mathematics Activities or Interactive Mathematics Miscellany and Puzzles Examples from over "700" "Geometry" Subject Categories include Archimedes' Book of Lemmas Napoleon's Theorem The Butterfly Theorem Arbelos - the Shoemaker's Knife EUCLID'S ELEMENTS CALCULATORS, APPLETS, ANIMATIONS SIMULATIONS EUCLID'S ELEMENTS (JAVA APPLETS) - D.E. Joyce, Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts Euclids Elements Course (Text, Images, Applets & Simulations). VERY VERY VERY...EXTENSIVE. Euclid's Elements "...form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages..." For more information see the David Joyce's Home Page; David Joyce's Faculty Home Page or the Department of Mathematics and Computer Science Some examples from the 13 Books with "100's" of "Euclid's Elements" Applets include Book I: The Fundamentals of Geometry: Theories of Triangles, Parallels, and Area Book VII: Foundations of Ratios and Proportions EUCLID'S ELEMENTS: TRANSLATION OF JOYCE'S "EUCLID'S ELEMENTS" INTO SPANISH & CATALAN (JAVA APPLETS) - JDL euclides.org & Development Network Services Presence with permission from D.E. Joyce, Department of Mathematics and Computer Science, Clark University, Worcester, Massachusetts Euclids Elements Course (Text, Images, Applets & Simulations). VERY VERY VERY...EXTENSIVE. For more information see the Joyce's Euclid's Elements EUCLID'S ELEMENTS OF GEOMETRY (JAVA APPLETS) - B. Casselman, Department of Mathematics, Faculty of Science, University of British Columbia, Vancouver, Canada Multimedia Euclid's Elements of Geometry Lessons, Calculators & Applets (Text & Images). VERY VERY VERY...EXTENSIVE. Euclid's Elements of Geometry includes "...The integrated text (Byrne, Joyce, and Heath) at UBC: Book I thru Book XIII; A local collection of proofs of Pythagoras' Theorem in Java; On Erhard Ratdolt, publisher of the 1482 edition of Euclid (the very first, based on the somewhat faulty medieval edition produced by Campanus); etc..." For more information see Bill Casselman's Home Page or the Department of Mathematics ECULIDEAN & NON-ECULIDEAN GEOMETRY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS GEOMETRY APPLETS & VRML - Department of Mathematics, National Tsing Hua University, Hsin-Chu, Taiwan In Chinese & English. VERY VERY VERY...EXTENSIVE. Includes over "600" Geometry Calculators & Applets. For more information see Department of Mathematics or the National Tsing Hua University PYTHAGOREAN CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PYTHAGOREAN TRIPLETS CALCULATORS & APPLETS GENERATING PYTHAGOREAN TRIPLES (JAVA APPLET) - N. Exner, Office for Mathematics, Science & Technology Education, University of Illinois, Urbana-Champaign Pythagorean Triples Calculator "...generates non-trivial Pythagorean Triples of increasing value. It can be used to locate Pythagorean Triples of significant size..." For more information see Geometry; MSTE Online Resources or the Office for Mathematics, Science & Technology Education PYTHAGOREAN EXPLORER (JAVA APPLET) - The Shodor Education Foundation, Inc. For more information see Interactive Activities or The Shodor Education Foundation, Inc. GEOMETRY CALCULATORS & APPLETS: ALL INCLUSIVE GEOMETRY USING CABRI JAVA APPLETS - Department of Mathematics, National Tsing Hua University, Hsin-Chu, Taiwan In English & Chinese. VERY VERY VERY...EXTENSIVE. Includes over "400" Geometry Applets in the Following Subject Categories "...Circle Applets; Parabola Applets; Epicycloids-Hypocycloids-Trochoids Applets; Constructions with the Compasses Alone Applets; Poncelet's Porisms Applets; Pole and Polar Applets; Coaxal Systems Applets; Steiner's Porisms Applets; Other Curves Applets; Conic Applets; Linkage Applets; Dissection Applets; Line Applets; Constructions Using Ruler Only Applets; Regular Pentagon Applets; Seven Circles Theorem Applets;, etc..." For more information see Cabrijava; Department of Mathematics or the National Tsing Hua University GEOMETRY CALCULATORS & APPLETS BY VARIOUS CATEGORIES CHEING-PLEIJEL APPLET - B. Cheng VERY EXTENSIVE. Available in English & Chinese. Cheing-Pliejel "...By definition, the Cheng-Pleijel point O is the point where the sum of the areas of the triangles O'AB, O'BC, O'CD, O'DA, are at a minimum for a given value of H. In particular, the cone formed by the apex O' and the base quadrangle ABCD is a minimal surface, or more precisely, a minimal surface with boundary constraint..." Cheing-Pliejel Applet allows you to "...experiment with different positions of A,B, C,D, and H, and observe how the position of O varies..." For more information see Ben Cheng's Home Page GEOMETRY DEMONSTRATIONS USING CINDERELLA (JAVA) - Cinderella, Jürgen Richter-Gebert & Ulrich Kortenkamp, Germany VERY VERY EXTENSIVE. "...The Interactive Geometry Software Cinderella..." For more information see Cinderella, The Interactive Geometry Software Some examples from over "30" Geometry Applets include Light going through a Lens Applet A Conchoid in Elliptic Geometry Applet GEOMETRY APPLETS - R. Blond, Edmonton, Alberta, Canada Some examples from over "10" Geometry Applets include Circle Geometry Applet (Inscribed & Central Angles) Circle Geometry Applet (Tangents & Radii) Slope Comparison Applet HYPERDIMENSION APPLETS - I. Yoshiaki, Japan VERY EXTENSIVE. Include over "20" HyperDimension Applets including "... HyperWorm Applet; HyperPlane Applet; HyperCube Applet; 4DHyperbola Applet; 4DTorus Applet; 5DCube Applet; etc..." For more information see Ishihama Yoshiaki's Home Page AN INTERACTIVE PROFF OF PYTHAGORAS' THEOREM - J. Morey, Department of Mathematics, Faculty of Science, University of British Columbia, Vancouver, Canada An Interactive Proof of Pythagoras' Theorem "...shows a geometrical proof of Pythagoras' Theorem..." For more information see Interactive Math or the Department of Mathematics

Advanced Geometry

Advanced Geometry Courses, Textbooks, Lectures & Lessons Differential Geometry ~ Geometry of Manifolds Geometric Folding Algorithms: Linkages, Origami, Polyhedra Semi-Riemann Geometry and General Relativity Topics in Geometry: Mirror Symmetry The Symplectic Category, Holomorphic Curves, Quilts, and Topological Applications Advanced Geometry Calculators & Applets High Performance Calculators for Advanced Geometry 3D Geometry Computer Aided Geometric Design Periodic Billiard Paths in Triangles Geometric Calculator ~ Hyperbolic Geometry ~ Spherical Geometry Computational Geometry

Advanced Geometry ADVANCED GEOMETRY COURSES, TEXTBOOKS, LECTURES & LESSONS Differential Geometry DIFFERENTIAL GEOMETRY - VOLUME I: CURVES & SURFACES AND VOLUME II: MANIFOLDS - M. Ghomi, School of Mathematics, Georgia Institute of Technology Multimedia Differential Geometry - Volume II: Manifolds Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Differential Geometry - Volume I: Curves and Surfaces" Course Lectures include "...Definition of curves, examples, reparametrizations, length, Cauchy's integral formula, curves of constant width; General definition of curvature using polygonal approximations (Fox-Milnor's theorem); Osculating circle, Kneser's Nesting Theorem, total curvature, convex curves; Torsion, Frenet-Seret frame, helices, spherical curves; Intrinsic metric and isometries of surfaces, Gauss's Theorema Egregium, Brioschi's formula for Gaussian curvature; The definition of geodesic curvature, and the proof that it is intrinsic; etc..." Examples of "Differential Geometry - Volume II: Manifolds" Course Lectures include Immersions and Embeddings. Proof of the embeddibility of comapct manifolds in Euclidean space; Definition of differential structures and smooth mappings between manifolds; Proofs of the inverse function theorem and the rank theorem; Proof of Whitney's 2n+1 embedding theorem; Various definitions of orientability and the proof of their equivalence. Proof of the nonorientability of the Mobius strip and the nonembeddability of the real projective plane in R3. Proof that RPn is oreintable for n odd and is not orientable for n even; Definition of a Riemannian metric, and examples of Riemannian manifolds, including quotients of isometry groups and the hyperbolic space. The notion of distance on a Riemannian manifold and proof of the equivalence of the metric topology of a Riemannian manifold with its original topology; Riemannian connections, brackets, proof of the fundamental theorem of Riemannian geometry, induced connection on Riemannian submanifolds, reparameterizations and speed of geodesics, geodesics of the Poincare's upper half plane; Exponential map and geodesic flow; etc..." For more information see Differential Geometry I Home Page; Courses; Mohammad Ghomi's Home Page or the School of Mathematics DIFFERENTIAL GEOMETRY (MA3429) - D.R. Wilkins, School of Mathematics, Faculty of Science, Trinity College, University of Dublin, Ireland Multimedia Differential Geometry Course - PDF, 206 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Differential Geometry" Course Parts & Sections include Part I (PDF, 63 Pages) "...Topological Spaces and Smooth Manifolds; Tangent Spaces and Derivatives; Submanifolds of Smooth Manifolds; etc..." Part II (PDF, 77 Pages) "...Tensors and Multilinear Algebra; Vector Bundles; Vector Fields, Lie Brackets and Flows..." Part III (PDF, 72 Pages) "...Connections, Curvature, and Torsion; Riemannian and Pseudo-Riemannian Manifolds; etc..." For more information see Courses & Lecture Notes; David R. Wilkins Home Page or the School of Mathematics Geometry of Manifolds GEOMETRY OF MANIFOLDS - Denis Auroux, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Geometry of Manifolds Graduate Course (Text & Images). VERY VERY VERY...EXTENSIVE. Geometry of Manifolds Course "...The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations..." Examples from over "22" "Geometry of Manifolds" Course Lectures include "...Symplectic vector fields, flux; isotopy and deformation equivalence; Moser's theorem; Darboux's theorem; More Floer homology; almost-complex structures; compatibility with a symplectic structure; polar decomposition; compatible triple; Horizontal distributions; metric connections; curvature of a connection: Intrinsic definition; expression in terms of connection 1-form; Nijenhuis tensor; integrability; square of the dbar operator; Newlander-Nirenberg theorem; Kähler manifolds; complex projective space; Symplectic fibrations; Thurston's construction of symplectic forms; symplectic Lefschetz fibrations, Gompf and Donaldson theorems; Symplectic branched covers of symplectic 4-manifolds; etc..." For more information see Geometry of Manifolds Home Page; Denis Auroux's Home Page; Mathematics Courses; MIT OpenCourseWare or the Department of Mathematics GEOMETRY OF MANIFOLDS - T. Mrowka, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Geometry of Manifolds Graduate Course (Text & Images). VERY VERY VERY...EXTENSIVE. Geometry of Manifolds Course is "...analyzes topics such as the differentiable manifolds and vector fields and forms. It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds..." Examples of "Geometry of Manifolds" Graduate Course Lectures include "...Smooth Maps and the Notion of Equivalence; Vector Bundles and the Differential: New Vector Bundles from Old; Vector Bundles and the Differential: The Tangent Bundle; Sard's Theorem; Stratified Spaces; Smale's Sard Theorem; etc..." For more information see Geometry of Manifolds Home Page; Tomasz Mrowka's Home Page; Mathematics Courses; MIT OpenCourseWare or the Department of Mathematics Geometric Folding Algorithms: Linkages, Origami, Polyhedra GEOMETRIC FOLDING ALGORITHMS: LINKAGES, ORIGAMI, POLYHEDRA - E. Demaine, Department of Electrical Engineering and Computer Sciences, MIT Multimedia Geometric Folding Algorithms: Linkages, Origami, Polyhedra Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Examples from over "22" "Geometric Folding Algorithms: Linkages, Origami, Polyhedra" Course Video Lectures & Lecture Notes include "...Single-vertex Crease Patterns Video Lecture; Artistic Origami Design Video Lecture; Folding Motions Video Lecture; Rigidity Theory Video Lecture; Polyhedron unfolding Video Lectures; Protein Folding Video Lecture; Maekawa and Kawasaki's Theorems Revisited and Extended Video Lecture; etc..." For more information see Erik Demaine's Home Page or the Department of Electrical Engineering and Computer Science Semi-Riemann Geometry and General Relativity SEMI-RIEMANN GEOMETRY AND GENERAL RELATIVITY - S. Sternberg, Department of Mathematics, Faculty of Arts and Sciences, Harvard University Multimedia Semiriemannian Geometry Course (Book) - PDF, 251 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Click on "Semi-Riemann Geometry and General Relativity". Examples of "Semi-Riemann Geometry and General Relativity" Course (Book) Chapters include "...The Principle Curvatures; Rules of Calculus; Levi-Civita Connections; The bundle of frames; Connections on principal bundles; Gauss’s lemma; Special relativity; Die Grundlagen der Physik; Submersions; Petrov types; etc..." For more information see Shlomo Sternberg's Home Page; Shlomo Sternberg's Faculty Home Page or the Department of Mathematics Topics in Geometry: Mirror Symmetry TOPICS IN GEOMETRY: MIRROR SYMMETRY - Denis Auroux, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Topics in Geometry: Mirror Symmetry Course Course (Text & Images). VERY VERY VERY...EXTENSIVE. Topics in Geometry: Mirror Symmetry Course is "...This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry.." For more information see Mathematical Courses; MIT OpenCourseWare or the Department of Mathematics The Symplectic Category, Holomorphic Curves, Quilts, and Topological Applications THE SYMPLECTIC CATEGORY, HOLOMORPHIC CURVES, QUILTS, AND TOPOLOGICAL APPLICATIONS - K. Wehrheim, Department of Mathematics, Massachusetts Institute of Technology (MIT) Multimedia The Symplectic Category, Holomorphic Curves, Quilts, and Topological Applications (Text & Images). Examples of Graduate "The Symplectic Category, Holomorphic Curves, Quilts, and Topological Applications" Course Lectures include Lagrangian Correspondences arising from Moment Maps; Generalized Lagrangian Correspondences; Generalized Floer Homology; Generalized Floer Homology - Quilts and How to Fold them; Quilted Floer Homology - Compactness; Quilted Floer Homology and Geometric Composition; Pseudoholomorphic Quilts; Floer Field Theory; etc..." For more information see Katrin Wehrheim's Home Page or the Department of Mathematics ADVANCED GEOMETRY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS ADVANCED GEOMETRIC CONFIGURATIONS (JAVA APPLETS) - Saltire Software, Beaverton, Oregon For more information see Geometry Gallery or Saltire Software Some examples from over "8" Advanced Geometric Applets include Area of the Triangle Formed by the Intersection of Common Tangents to 3 Circles Applet Quadrilateral Configuration Applet 4 Point Circle Applet CONVERTING TRIANGULATIONS TO QUADRANGULATION (JAVA APPLET) - Sam Sanjabi, Rachel Potvin, The Computational Geometry Lab, School of Computer Science, McGill University VERY VERY EXTENSIVE. Converting Triangulations to Quadrangulations Calculator: "...We obtain a variety of characterizations for when a triangulation admits a quadrangulation without the use of (or with a bounded number of) Steine r points. We also examine the effects of demanding that the Steiner points be added in the exterior of a triangulated simple polygon..." For more information see Projects; Teaching Activities or The Computational Geometry Lab HIGH PERFORMANCE CALCULATORS FOR GEOMETRY MAGMA COMPUTATIONAL ALGEBRA SYSTEM CALCULATOR - Computational Algebra Group, School of Mathematics & Statistics, University of Sydney VERY VERY VERY...EXTENSIVE. MAGMA Computational Algebra System Calculator is a "...High performance software for Algebra, Number Theory, and Geometry..." MAGMA Computational Algebra System includes Calculations for "Sets, Sequences, and Mappings; Basic Rings & Linear Algebra; Lattices & Quadratic Forms; Global Arithmetic Fields; Finite Groups; Lie Groups; Representation Theory; Geometry; Commutative Algebra; Coding Theory; Cryptography; etc..." For more information see the Magma Computational Algebra System Home Page; Computational Algebra Group or the School of Mathematics & Statistics SAGE & SAGE NOTEBOOK - Sage VERY VERY VERY...EXTENSIVE. SAGE "...can be used to study a general and advanced, pure and applied mathematics. This includes a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra..."

3D GEOMETRY JAVAVIEW - INTERACTIVE 3D GEOMETRY AND VISUALIZATION (JAVA APPLETS) - The JavaView Project, Germany VERY VERY VERY...EXTENSIVE. For more information see JavaView Some examples from over "20" 3D Geometry Calculators include Geodesic Surveyor: Measure Distances on Polyhedral Surfaces Harmonic Maps and Minimal Surfaces Visualize Scalar Field on a Surface COMPUTER AIDED GEOMETRIC DESIGN CALCULATORS & APPLETS CAGD-APPLETS: AN INTERACTIVE TUTORIAL ON GEOMETRIC MODELING - Abteilung Geometrische Datenverarbeitung, Universität Karlsruhe (TH), Germany, (Applied Geometry & Computer Graphics, University of Karlsruhe) VERY VERY VERY...EXTENSIVE. CAGD-Applets "...consists of a collection of Java applets illustrating the basic principles of Computer Aided Geometric Design..." Geometric Modeling Subject Categories include: Fundamentals: Ratios & Projective Figures Curves: B-Spline Representation; Subdivision; Differential Geometry; Surfaces: Tensor Product Surfaces & Triangular Patches; Rational Surfaces; etc..." For more information see CAGD-Applets Home Page or the Abteilung Geometrische Datenverarbeitung (Applied Geometry & Computer Graphics) Some examples from over "40" Geometric Modeling Applets include Fundamentals: Ratios & Projective Figures Applets Fundamentals: Ratios & Projective Figures Applets include: "...Barycentric Coordinates with respect to a triangle Applet; Pappus' Theorem Applet; Dual Theorem of Pappus Applets; Pascal's Theorem Applet; etc..." Curves: B-Spline Representation; Subdivision; Differential geometry; etc. Applets Curves: B-Spline Representation; Subdivision; Differential geometry; etc. Applets include: "...B-Splines Applet; De Boor Scheme Applet; Spline Division Applet; B-Spline Knot Refinement Applet; Four Point Scheme Applet; etc..." PERIODIC BILLIARD PATHS IN TRIANGLES CALCULATORS & APPLETS MCBILLIARDS - W.P. Hooper (Department of Mathematics, Northwestern University) & R.E. Schwartz (Department of Mathematics, Brown University); Hosted by Sourceforge VERY VERY EXTENSIVE. McBilliards "...is a graphical user interface, which allows the user to explore periodic billiard paths in triangles...McBilliards has facilitated the discovery of many new phenomena related to billiards in triangles. McBilliards continues to evolve, and promises to continue to provide insight into this difficult problem..." For more information see Rich Schwartz's Home Page GEOMETRIC CALCULATORS & APPLETS GEOMETRIC CALCULATOR - Roger E Critchlow Jr., The Entropy Liberation Front VERY VERY EXTENSIVE. Geometric Calculator is "...an ordinary desk calculator that uses the Clifford Numbers over a three dimensional Euclidean Space. This means that in addition to doing the normal computations on (computer implemented) real numbers that you are used to finding on a desk calculator, this calculator also computes on vectors in two and three space, on the bivectors over those vectors, on the trivector over three space, on complex numbers, and on quaternions..." For more information see The Entropy Liberation Front HYPERBOLIC GEOMETRY CALCULATORS & APPLETS NONEUCLID (JAVA APPLET) - J. Castellanos (Department of Computer Science, University of New Mexico), J.D. Austin (Department of Education, Rice University) & E. Darnell (Department of Computer Science, Rice University) VERY VERY EXTENSIVE. NonEuclid is an "...Interactive Java Software for Creating Ruler and Compass Constructions in both the Poincaré Disk and the Upper Half-Plane Models of Hyperbolic Geometry..." For more information see Joel Castellanos Home Page or the Department of Computer Science SPHERICAL GEOMETRY CALCULATORS & APPLETS SPHERICAL EASEL: A SPHERICAL DRAWING PROGRAM (JAVA APPLET) - D. Austin & W. Dickinson, Department of Mathematics, Grand Valley State University, Allendale, Michigan VERY VERY EXTENSIVE. Available in English & German/Deutsch. Spherical Easel is "...a program for creating interactive diagrams in spherical geometry. It may be viewed as a companion to The Geometer's Sketchpad and Non-Euclid, programs for studying Euclidean..." For more information see Mathematical Graphics; David Austin's Home Page or the Department of Mathematics

Computational Geometry COMPUTATIONAL GEOMETRY COURSES, TEXTBOOKS & LECTURES COMPUTATIONAL GEOMETRY (PDF) - D.M. Mount, Department of Computer Science, University of Maryland Multimedia Computational Geometry Course - 141 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Computational Geometry Course "...One of the major focuses of this course will be on understanding technique for designing efficient geometric algorithms. A major part of the assignments in this class will consist of designing and/or analyzing the efficiency of problems of a discrete geometric nature..." Examples of "Computational Geometry" Course Lectures include "...Introduction to Computational Geometry; Fixed-Radius Near Neighbors and Geometric Basics; Orientations and Convex Hulls; Convex Hull Algorithms; Line Segment Intersection; Planar Graphs, Polygons and Art Galleries; etc..." For more information see the Computational Geometry CMSC 754 Lectures; Computational Geometry CMSC 754; David Mount's Home Page or the Department of Computer Sciences HIGH PERFORMANCE COMPUTATIONAL GEOMETRY CALCULATORS & APPLETS MAGMA COMPUTATIONAL ALGEBRA SYSTEM CALCULATOR - Computational Algebra Group, School of Mathematics & Statistics, University of Sydney VERY VERY VERY...EXTENSIVE. MAGMA Computational Algebra System Calculator is a "...High performance software for Algebra, Number Theory, and Geometry..." MAGMA Computational Algebra System includes Calculations for "Sets, Sequences, and Mappings; Basic Rings & Linear Algebra; Lattices & Quadratic Forms; Global Arithmetic Fields; Finite Groups; Lie Groups; Representation Theory; Geometry; Commutative Algebra; Coding Theory; Cryptography; etc..." For more information see the Magma Computational Algebra System Home Page; Computational Algebra Group or the School of Mathematics & Statistics SAGE & SAGE NOTEBOOK - Sage VERY VERY VERY...EXTENSIVE. SAGE "...can be used to study a general and advanced, pure and applied mathematics. This includes a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, and exact linear algebra..." COMPUTATIONAL GEOMETRY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS 3-COINS ALGORITHM FOR CONVEX HULLS OF POLYGONS (JAVA APPLET) - G. Aloupis & B. Kaluzny, Computational Geometry Lab, School of Computer Science, McGill University, Montreal, Quebec, Canada VERY EXTENSIVE. 3-Coins Algorithm for Convex Hulls of Polygons Calculator "...We present one of the simplest algorithms used to find the convex hull of a simple polygon. Some basic definitions are provided for readers inexperienced in the field of Computational Geometry..." For more information see Bohdan Kaluzny's Home Page or the Computational Geometry Lab COMPUTATIONAL GEOMETRY ALGORITHMS (JAVA APPLETS) - J. Snoeyink, The Computational Geometry Group, Department of Computer Science, University of North Carolina, Chapel Hill VERY VERY EXTENSIVE. For more information see Jack Snoeyink's Home Page or the The Computational Geometry Group Some examples from over "20" Computational Geometry Applets include LineTesting convex hull in the plane Quickhull convex hull in the plane ChanDC convex hull in the plane PseudoTriangulation in the plane Visibility polygon Terrain Reconstruction COMPUTATIONAL GEOMETRY APPLETS - S. Har-Peled, Department of Computer Science, College of Engineering, University of Illinois at Urbana-Champaign VERY EXTENSIVE. For more information see Computational Geometry Scrolls or the Sariel Har-Peled's Home Page Some examples of Computational Geometry Applets include Two dimensional linear programming Minimal Convex Polygon Decomposition Demo Minimum Area Rectangle, Diameter, etc. COMPUTATIONAL GEOMETRY IN CODE (JAVA APPLET) - J. O'Rourke, Department of Computer Science, Smith College VERY EXTENSIVE. Computational Geometry in Code "...illustrates several pieces of code from Computational Geometry in C..." For more information see Computational Geometry in C (Second Edition); Joseph O'Rourke's Home Page or the Department of Computer Science LINEAR PROGRAMMING AND PIVIOTING IN 2D (JAVA APPLET) - G. Aloupis & B. Kaluzny, Computational Geometry Lab, School of Computer Science, McGill University, CA VERY VERY EXTENSIVE. For more information see Bohdan's Computational Geometry Page or Bohdan Kaluzny's Home Page THE GEOMETRY JUNKYARD: COMPUTATIONAL AND RECREATION GEOMETRY - D. Eppstein, Department of Computer Science, Donald Bren School of Information and Computer Sciences, University of California, Irvine (UCI) Multimedia Lectures, Research Excerpts, Abstracts, Programs, Problems, etc. (Text, Images, Simulations & Animations). VERY VERY VERY...EXTENSIVE. For more information see The Geometry Junkyard David Eppstein's Home Page; Department of Computer Science or the Donald Bren School of Information and Computer Sciences Graph Theory & Analysis on Graphs INTRODUCTION TO GRAPH THEORY COURSES, TEXTBOOKS & LESSONS WITH CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS GRAPH THEORY (JAVA APPLETS) - C.P. Mawata, Department of Mathematics, University of Tennessee at Chattanooga Multimedia Graph Theory Course (Text, Images & Applets). VERY VERY EXTENSIVE. Graph Theory "...The subject matter addressed are topics typically found in undergraduate graph theory and discrete structures classes like null graphs, the handshaking lemma, isomorphism, complete graphs, subgraphs..." For more information see Christopher P. Mawata's Home Page or the Department of Mathematics Examples from over "30" Graph Theory Calculators include Lesson 4: Complete Graphs Lesson 7: Platonic Graphs Lesson 11: Graph Coloring Lesson 15: Tripartite Graphs GRAPH THEORY COURSES GRAPH THEORY - B. Cherowitzo, Department of Mathematical & Statistical Sciences, College of Liberal Arts & Sciences, University of Colorado, Denver, Colorado Multimedia Graph Theory Course (Text, Images & Animations). VERY VERY EXTENSIVE. Examples of "Graph Theory" Course Lectures include "...Subgraphs and Graph Operations; Graph Isomorphism and Matrix Representations; Trees; Counting, Traversing and Searching Binary Trees; Depth-First and Breadth-First Search; Connectivity; Optimal Graph Traversals; Network Flows and Applications; Permutations and Combinations; Computational Complexity and Algorithms; etc..." For more information see Teaching Activity; Bill Cherowitzo's Home Page or the Department of Mathematical & Statistical Sciences ANALYSIS ON GRAPHS AND ITS APPLICATIONS COURSES, TEXTBOOKS, LECTURES, ETC. ANALYSIS ON GRAPHS AND ITS APPLICATIONS - Isaac Newton Institute for Mathematical Sciences, Hosted by: Streaming Media Service, University of Cambridge Multimedia Analysis on Graphs and its Applications (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Includes over "48" "Analysis on Graphs and its Applications" Video Lectures. Examples of "Analysis on Graphs and its Applications" Video Seminars include "...Boundary value problems for infinite metric graphs Video; Convergence of resonances on thin branched quantum wave guides Video; Eigenvalue estimates for Schroedinger operators on regular metric trees Video; Excitonic influence on transport coefficients in low dimensional quantum systems Video; Localization under external interactions in periodic quantum graphs Video; On control and Inverse problems for the wave equation on graphs Video; Phase transitions on lattice graphs Video; etc..." For more information see Streaming Media Service Collections; Streaming Media Service; Isaac Newton Institute for Mathematical Sciences or the University of Cambridge

Graphing, Graphers, Plotting, Plotters

Multi-Functional Graphers & Plotters Algebra Graphers & Plotters Calculus Graphers & Plotters ~ Chemistry Graphers & Plotters Differential Equations Graphers & Plotters Finite Mathematics Graphers & Plotters ~ Geometry Graphers & Plotters Linear Programming Graphers & Plotters Linear Equations Graphers & Plotters ~ Parametric Graphers & Plotters Real Analysis Graphers & Plotters

Graphing, Graphers, Plotting, Plotters GRAPHING CALCULATORS, APPLETS & SPREADSHEETS (XLS) GRAPHERS CALCULATORS, APPLETS & SPREADSHEETS (XLS) MULTI-FUNCTIONAL PLOTTING CALCULATORS, APPLETS & SPREADSHEETS (XLS) MULTI-FUNCTIONAL PLOTTER CALCULATORS, APPLETS & SPREADSHEETS (XLS) FUNCTION CALCULATOR (ENGLISH) - Xiao Gang, Laboratoire J.-A. Dieudonné, Université de Nice, Nice, France English & Français. VERY VERY VERY...EXTENSIVE. Function Calculator is "...an interactive calculator to plot, compute and test numbers..." For more information see WIMS Y(X) FINDER - Qudata.com VERY VERY VERY...EXTENSIVE - VERY FAST QuData Y(X) Finder "...Allows you to fit empirical data (xi, yi) with the most suitable analytical function y=y(x). To analyze your data, copy the column of values of the independent variable x from a text file or electronic table and paste it into the left editing field. Copy the column of values of the dependent variable y(x) from a text file or electronic table and paste it into..." For more information see Qudata.com ONLINE UTILITES & SOFTWARE (SPREADSHEETS OPEN ONLINE WITH EXCEL, iWORK-NUMBERS, IBM LOTUS SYMPHONY, NEOOFFICE, OPENOFFICE CALC, ETC.) - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY VERY...EXTENSIVE. Grapher Calculators Include: Function Evaluator & Grapher Calculator; Java Grapher Calculator; Excel Grapher Calculator; Excel First and Second Derivative Graphing Utility; Surface Graphing Utility Calculator; Excel Surface Graphing Utility Calculator; Linear Programming Grapher Calculator; Excel Pivot and Gauss-Jordan Calculator; Excel First and Second Derivative Graphing Calculator; Riemann Sum Grapher Calculator; etc..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University 2D PLOTTER - Qudata.com VERY VERY EXTENSIVE - VERY FAST QuData 2D Plotter "...allows you to plot up to 3 function graphs..." For more information see Qudata.com 2D & 3D PLOTTING - SoftIntegration, Inc. VERY VERY VERY...EXTENSIVE. For more information see Web Services; Plotting and Scientific Numerical Computing; Numerical Computing or SoftIntegration, Inc. Some examples from 2D/3D Plotting Calculators includes 2D/3D Plotting Using Functions Calculator 2D/3D Plotting Using Data Calculator Generating Ch/C++ Source Code for Plotting Calculator (SoftIntegration's Ch Standard Edition Freeware) 2D/3D FUNCTION PLOTTER - P. Wilde & Script by Patrick Dosert, Berkeley, CA VERY EXTENSIVE. For more information see Marine Related Interactive Tables, etc.; Pat Wilde's Home Page #2 or Pat Wilde's Home Page #1 3D PLOTTING - Wolfram Research Inc. VERY VERY VERY...EXTENSIVE. Plot3D "...takes three arguments: a function of two variables (in this case, specified as x and y) in standard Mathematica notation, a list of the first variable..." For more information see webMathematica; webMathematica: The Way The Web Calculates or Wolfram Research Inc. 3D PLOTTER - Qudata.com VERY VERY EXTENSIVE - VERY FAST QuData 3D Plotter "...allows you to build 3D plot of a function dependent on two variables: X and Y..." "...You can also plot a color map of the surface. Choose the "Map View" to build a colorized map of heights. The regions of maximum height are drawn in red and the low regions are blue. The scale of colors and heights is given on the left of the plot..." For more information see Qudata.com 7STONES OCTONION CALCULATOR - G. Dixon, Lincoln, MA VERY VERY EXTENSIVE. Octonion Calculator is "...a conventional scientific calculator with a twist: pressing a function button produces a graph of the function (if its value is defined for the given input) and shows the (x, y) point on the graph corresponding to input and output..." For more information see Mathematical Ideas in Science or 7 Stones CARL'S MATH GRAPHER CALCULATOR - C. Adler, Department of Physics, East Carolina University VERY VERY EXTENSIVE. For more information see Calculators; Image-ination.com or Carl Adler's Home Page FUNCTION EVALUATOR & GRAPHER: A UTILITY FOR APPLIED CALCULUS, FINITE MATHEMATICS & APPLIED CALCULUS (JAVA APPLET) - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Function Evaluator & Grapher "...Creates a table of values and graph for any function you specify..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University FUNCTION PLOTTER (JAVA APPLET) - Andreas de Vries, Math It, Fachbereich Technische Betriebswirtschaft, Germany In English & German/Deutsch. VERY VERY EXTENSIVE. Function Plotter "...Plot Function Graphs & Print Function Graphs..." For more information see Math It Mathematical Applets or Math It GNUPLOT - CALCULATORS - The Shodor Education Foundation, Inc. VERY VERY EXTENSIVE. GNUPLOT allows you to "...create a graph of one or more mathematical functions..." For more information see Gnuplot Modeling or The Shodor Education Foundation, Inc. Some examples of "Gnuplot" Calculators include Create 2D and 3D gnuplot Graphs Create Animated 3D gnuplot Graphs Adjusting Variables GRAPH'S JAVA PROJECT - J.L. Orr, Department of Mathematics, College of Arts & Sciences, University of Nebraska, Lincoln, Nebraska VERY VERY EXTENSIVE. For more information see Web Development; John Lindsay Orr's Home Page or the Department of Mathematics Examples of Graphing Calculators include Grapher Calculator Grapher Calculator is "...a general purpose function graphing program..." IntegGrapher Calculator IntegGrapher Calculator is "...a graphing program which demonstrates the definition of the integral in terms of successive approximations by Riemann sums..." SecantGrapher Calculator SecantGrapher Calculator is "...a program to demonstrate the definition of the derivative in terms of the slope of approximating secant lines..." GRAPHING APPLETS - W. Kühn VERY VERY EXTENSIVE. For more information see Java Applets or Wolfgang Kühn's Home Page Examples of Graphing Calculators include Rigorous Gradient Calculator Rigorous Gradient Calculator "...computes the value and the gradient of a function at a given point..." Rigorous Graphing Calculator Rigorous Graphing Calculator "...graphs functions and find their roots..." Rigorous Inital Value Problem Solver Calculator Rigorous Inital Value Problem Solver Calculator "...produces zonotope enclosures for the orbit of initial value problems. Only planar and discrete maps are considered..."

PLOT A GRAPH (JAVA APPLET) - V. Sorokin, General Physics Laboratory, Department of Physics & Astronomy, University of Kentucky VERY VERY EXTENSIVE. Plot a Graph Calculator "...allows you to enter and plot functions of one variable..." For more information see Java Applets; General Physics Laboratory or the Department of Physics & Astronomy PLOTTY, THE LAZY PLOTTER - Author: Moshe Sniedovich, Retired, but still Affiliated with the Department of Mathematics & Statistics, The University of Melbourne, Australia VERY VERY EXTENSIVE. For more information see TutOR: Operations Research; Moshe Sniedovich Place or the Department of Mathematics & Statistics WEBMATHEMATICA SCRIPTS - PLOTING APPLETS - T.E. Compton, HostSRV.com, Newark, DE VERY VERY VERY...EXTENSIVE. For more information see HostSRV Some examples from over "8" Plotting Calculators include Plotting with and without the Frontend Calculator Plotting with and without the Frontend Calculator "...demonstrates saving plots in GIF and JPEG formats..." Integrate a Function Calculator Integrate a Function Calculator "...integrates an arbitrary function of a single variable, x. Displays the result in Traditional Form...." MSP/Plot Calculator MSP/Plot Calculator allows you to "...plot a function over some range..."

GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS ALGEBRA GRAPHING & PLOTTING CALCULATORS & APPLETS 3D EQUATION GRAPHING CALCULATOR - AlgebraHelp.com Algebra 3D Equation Graphing Calculator "...is a Java calculator which simplifies, solves, and graphs equations in 3D..." For more information see AlgebraHelp EQUATION GRAPHING CALCULATOR - AlgebraHelp.com Albegra Equation Graphing Calculator "...will begin by expanding (simplifying) it. Next, the calculator will plot the function over the range that is given..." For more information see AlgebraHelp JAVA GRAPHING APPLET WITH EQUATION PARSER - A.S. Pyzdrowski Algebra Graphing Applet with Equation Parser. For more information see ICTCM 2000 or Anthony S. Pyzdrowski's Home Page MATRIX ALGEBRA TOOL - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Matrix Algebra Calculator "...Does symbolic computations with matrices..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS CALCULUS GRAPHING & PLOTTING CALCULATORS & APPLETS CALCULUS (JAVA APPLETS) - J. Carlson, Department of Mathematics, University of Utah VERY EXTENSIVE. Calculus Calculators for "...experimenting with graphs of functions, and notions like limits, tangents, derivatives, arc length, and area..." For more information see Jim Carlson's Home Page or Department of Mathematics CALCULUS: FLASH MATHLETS (FLASH) - Barbara Kaskosz, Department of Mathematics, University of Rhode Island VERY VERY VERY...EXTENSIVE. For more information see Barbara Kaskosz's Home Page; Flash & Math or the Department of Mathematics Some examples from over "22" Calculus Calculators include Multivariable Calculus: Motion in 3D Multivariable Calculus: Parametric Surfaces in Cylindrical Coordinates Multivariable Calculus: Parametric Surfaces in Spherical Coordinates Multivariable Calculus: 3D Function Grapher Single Variable Calculus: Sequence and Series Plotter Single Variable Calculus: Accumulated Change and Antidervative Plotter Multivariable Calculus: Motion in 3D Graphing the Cantor Function FUNCTION EVALUATOR & GRAPHER: A UTILITY FOR APPLIED CALCULUS, FINITE MATHEMATICS & APPLIED CALCULUS (JAVA APPLET) - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Function Evaluator & Grapher "...Creates a table of values and graph for any function you specify..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University MATHLETS: JAVA APPLETS FOR MATH EXPLORATIONS - T. Leathrum, Department of Mathematical, Computing, and Information Sciences, Jacksonville State Univertsity, Alabama VERY VERY VERY...EXTENSIVE. For more information see Tom Leathrum's Home Page or the Department of Mathematical, Computing, and Information Sciences Some examples from over "30" Calculus Calculators & Calculus Applets include Derivative Calculator Applet Newton's Method Applet The Technique of Substitution for Definite Integrals Applet Exploring Jacobians and Changes of Variables Applet NEWTON'S DIVIDED DIFFERENCE (JAVA APPLET) - R. Miech, Number Theory and Combinatorics, Department of Mathematics, UCLA Newton's Divided Difference Calculator "...is a way of finding an interpolation polynomial (a polynomial that fits a particular set of points or data)..." For more information see Java Applets; Ronald Miech's Applets Home Page or the Department of Mathematics NEWTON'S METHOD CALCULATOR - K.M. Levasseur, Department of Mathematical Sciences, University of Massachusetts Lowell VERY VERY VERY...EXTENSIVE. Newton's Method Calculator "...graphically display iterations of Newton's method as it tries to solve f(x) = 0 for several initial guesses at once..." For more information see UMass Lowell WebMathematicaScripts; Kenneth M. Levasseur's Home Page; Department of Mathematical Sciences or HostSRV Some other examples from over "7" Calculus Calculators include Derivatives and Their Approximation Examination of the Midpoint and Trapezoid Rule Errors Examination of the Midpoint and Trapezoid Rule Errors "...examines the errors associated with the midpoint and trapezoid rules with n = 1..." Taylor Polynomials A Taylor polynomial "...is a partial sum of a Taylor series. This WebMathematica page will compute and Taylor polynomials of selected functions..." Riemann Integration Riemann Integration "...The integral of a function over an interval is approximated by "Riemann sums" with the limit of these sums being the exact integral..." NUMERICAL INTEGRATION CALCULATOR - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Numerical Integration Calculator "...Graphs, and computes left-, right-, trapezoid, and Simpson's rule sums. Also computes integrals to the accuracy you specify using an adaptive quadrature algorithm..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University

POLAR EQUATIONS APPLET - R. Miech, Number Theory and Combinatorics, Department of Mathematics, UCLA Polar Equations Calculator "...enables one to graph polar curves..." For more information see Java Applets; Ronald Miech's Applets Home Page or the Department of Mathematics POLAR PLOTTER - MIT OpenCourseWare & the Department of Mathematics, MIT VERY EXTENSIVE. For more information see Calculus with Applications Tools; Calculus with Applications; Mathematics; MIT OpenCourseWare or the Department of Mathematics SURFACE GRAPHER UTILITY FOR APPLIED CALCULUS AND FINITE MATHEMATICS (JAVA APPLET) - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Surface Grapher Utility for Applied Calculus & Finite Mathematics "...A combination Java/Javascript utility that lets you graph surfaces (explicit & parametric) in 3-D perspective..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University WEB CALCULATOR - SoftIntegration, Inc. VERY VERY EXTENSIVE. Web Calculator INPUT Values include "...x value; y value; & expression..." For more information see Web Services; Plotting and Scientific Numerical Computing; Numerical Computing or SoftIntegration, Inc. XFUNCTIONS XPRESSO EDUCATIONAL MATHEMATICS APPLET - D. Eck, Department of Mathematics & Computer Science, Hobart and William Smith Colleges, Geneva, N.Y. VERY VERY EXTENSIVE. xFunctions XPresso Educational Mathematics Calculator "...is meant as an educational tool for exploring several topics in calculus and pre-calculus mathematics...In addition to basic graphing, xFunctions lets you do animated graphs, parametric curves, derivatives, Riemann sums, integral curves, and 3D graphs..." For more information see David J. Eck's Home Page GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS CHEMISTRY GRAPHING & PLOTTING CALCULATORS & APPLETS GRAPHPAD CALCULATOR - F.A. Senese, Department of Chemistry, Frostburg State University, Maryland GraphPad Calculator "...builds a simple graph from your laboratory data and..." For more information see Toolbox; General Chemistry Online; Frederick A. Senese's Faculty Home Page; Department of Chemistry or Frostburg State University WINDATA GRAPHING CALCULATOR FOR CHEMISTRY - B. Hanson, Department of Chemistry, St. Olaf College, Morthfield, Minnesota VERY VERY EXTENSIVE. Windata Graphing Calculator for Chemistry "...Unlike a typical "graphing calculator" with a solve function that can solve equations for just one unknown, this calculator can solve equations for multiple unknowns..." For more information see Calculators; Bob Hanson's Home Page or the Department of Chemistry GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS DIFFERENTIAL EQUATIONS GRAPHING & PLOTTING CALCULATORS & APPLETS FOR DIFFERENTIAL EQUATIONS GRAPHING & PLOTTING CALCULATORS SEE DIFFERENTIAL EQUATIONS GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS FINITE MATHEMATICS GRAPHING & PLOTTING CALCULATORS & APPLETS FUNCTION EVALUATOR & GRAPHER: A UTILITY FOR APPLIED CALCULUS, FINITE MATHEMATICS & APPLIED CALCULUS (JAVA APPLET) - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Function Evaluator & Grapher "...Creates a table of values and graph for any function you specify..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University INTEGRATION: NUMERICAL INTEGRATION CALCULATOR - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Numerical Integration Calculator "...Graphs, and computes left-, right-, trapezoid, and Simpson's rule sums. Also computes integrals to the accuracy you specify using an adaptive quadrature algorithm..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; s Department of Mathematics or Hofstra University

GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS GEOMETRY GRAPHING & PLOTTING CALCULATORS & APPLETS GRACE: GRAPHICAL RULER AND COMPASS EDITOR (JAVA APPLET) - J. Warren, R. Goldman & M. Felleisen, Department of Computer Science, Rice University VERY VERY EXTENSIVE. GRACE "...is an interactive ruler and compass construction editor for use in teaching the fundamental concepts of geometry...allows dynamic creation and modification of ruler and compass constructions..." For more information see Computer Graphics/Geometric Design Group; Joe Warren's Home Page or the Department of Computer Science GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS LINEAR PROGRAMMING GRAPHING & PLOTTING CALCULATORS & APPLETS LINEAR PRIGRAMMING GRAPHER - S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Linear Programming Grapher Calculator "...Type in any linear programming problem in two variables and press "Graph." Shows the feasible region, corner points, and optimal solution..." For more information see Online Utilities & Software - Calculators; Finite Mathematics & Applied Calculus; Stefan Waner's Home Page; Department of Mathematics or Hofstra University GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS LINEAR EQUATIONS GRAPHING & PLOTTING CALCULATORS & APPLETS LINEAR EQUATIONS - GRAPHING APPLET - G. Vasilevskiy, Project Java, Earth Science Educational Resource Center (ESERC), State University of New York, Stony Brook, New York Linear Equations Graphing Calculator "...makes it very easy to learn about the slope of the line and its intercept..." For more information see Graphing Applets or the Project Java or the Earth Science Educational Resource Center (ESERC) GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS NUMERICAL ANALYSIS GRAPHING & PLOTTING CALCULATORS & APPLETS FOR NUMERICAL ANALYSIS GRAPHING & PLOTTING CALCULATORS & APPLETS SEE NUMERICAL ANALYSIS GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PARAMETRIC GRAPHING & PLOTTING CALCULATORS & APPLETS THE PARAMETRIC EQUATIONS APPLET: GRAPHING PARAMETRIC CURVES - R. Miech, Number Theory and Combinatorics, Department of Mathematics, UCLA Parametric Equations Calculator "... allows you to graph 2-dimensional parametric curves..." For more information see Java Applets; Ronald Miech's Applets Home Page or the Department of Mathematics PARAMETRIC FUNCTION GRAPH - Asian Technology Conference in Mathematics (ATCM) For more information see Calculus; Manipula Math with Java or Math Education and Technology PARAMETRIC CURVE PLOTTER APPLET - P. Kirby VERY VERY EXTENSIVE. For more information see Vector Land GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS PLOTTING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS REAL ANALYSIS GRAPHING & PLOTTING CALCULATORS & APPLETS FUNCTION PLOTTER (JAVA APPLET) - B.G. Wachsmuth, Department of Mathematics and Computer Science, Seaton Hall University VERY EXTENSIVE. For more information see Interactive Real Analysis; Bert G. Wachsmuth's Home Page; Bert G. Wachsmuth's Faculty Home Page; Department of Mathematics and Computer Science or Seaton Hall University FAMILY PLOTTER (JAVA APPLET) - B.G. Wachsmuth, Department of Mathematics and Computer Science, Seaton Hall University VERY EXTENSIVE. Family Plotter "...Lets you plot a one-parameter family of functions and zoom in or out..." For more information see Interactive Real Analysis; Bert G. Wachsmuth's Home Page; Bert G. Wachsmuth's Faculty Home Page; Department of Mathematics and Computer Science or Seaton Hall University Hypercube & N-Dimensional HYPERCUBE CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS N-DIMENSIONAL CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS THREE AND FOUR DIMENSIONAL REGULAR SOLIDS CALCULATORS & APPLETS THREE AND FOUR DIMENSIONAL REGULAR SOLIDS - R. Koch, Department of Mathematics, University of Oregon For more information see Java Applets or Richard Koch's Home Page STEREOSCOPIC ANIMATED HYPERCUBE STEREOSCOPIC ANIMATED HYPERCUBE (JAVA APPLET) - M. Newbold, Montpelier, Vermont VERY EXTENSIVE. For more information see Mark Newbold's Java Stuff or Mark Newbold's Home Page Some examples from over "7" Hypercube Applets include Counter-Rotating Spirals HyperSpace Polytope Slicer The Pulfrich Illusion Hysteresis HYSTERESIS COURSES, LESSONS, CALCULATORS & APPLETS INTRODUCTION TO HYSTERESIS (JAVA APPLETS) - A. Pokrovskii, School of Mathematical Sciences, National University of Ireland-Cork, Cork, Ireland Multimedia Introduction to Hysteresis Course (Text, Images, Simulations & Applets). VERY VERY VERY...EXTENSIVE. Introduction to Hysteresis Course "...The mathematical theory of systems with hysteresis is an exiting new chapter of nonlinear analysis. While based on physical ideas, it also extends them to abstract science, enabling the analysis to be of quite general character. It includes interesting new mathematics and has a wide range of applications in science, engineering and economics..." For more information see the School of Mathematical Sciences Some examples from over "12" Hysteresis Calculators include Preisach Model: Preisach Model Calculator Preisach Model: Discrete Preisach Model Calculator Closed Loop Systems: ODE with Relay Calculator Complex Behavior: Chaotic behavior Applet STATISTICAL MECHANICS: ENTROPY, ORDER PARAMETERS, AND COMPLEXITY (PDF) - James P. Sethna, Laboratory of Atomic and Solid State Physics, Department of Physics, Cornell University & Published by Claredon Press, Oxford, 2008 Multimedia Statistical Mechanics: Entropy, Order Parameters, and Complexity Textbook - 371 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Click on PDF. Statistical Mechanics: Entropy, Order Parameters, and Complexity "...This text is careful to address the interests and back ground not only of physicists, but of sophisticated students and researchers in mathematics, biology, engineering, computer science, and the social sciences...." Examples of "Statistical Mechanics: Entropy, Order Parameters, and Complexity" Textbook Chapters include "...What is statistical mechanics?; Temperature and equilibrium; Entropy; Free energies; Quantum statistical mechanics; Order parameters, broken symmetry, and topology; Abrupt phase transitions; etc..." For more information see James P. Sethna's Home Page; Laboratory of Atomic and Solid State Physics or the Department of Physics

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