MARTINDALE'S
CALCULATORS ONLINE CENTER MATHEMATICS CENTER: EH (Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.) 
Examples of "Eigenvalues" Video Lectures include
Powers Video Lecture; Diagonalization Video Lecture; Differential Equations Video Lecture; Symmetry Video Lecture; Positive Definite Video Lecture; etc..." EIGENVALUES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
EIGENEXPLORER  J.R. Senning, Department of Mathematics & Computer Science, Gordon College, Wenham, MA EigenExplorer
EIGENVALUES AND EIGENVECTORS  AKiTi.ca, David Binner, Vancouver, British Columbia, Canada VERY VERY EXTENSIVE. Examples of Eigenvalues and Eigenvectors Calculators include
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..." 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, UrbanaChampaign, Illinois VERY EXTENSIVE. Click on Eigenvalue Problems Eigenvalues and Eigenvectors
QR Iteration with Shifts; Jacobi's Method; Gershgorin's Theorem..." INTRODUCTION TO EIGENVALUES AND EIGENVECTORS (JAVA APPLET)  Department of Mathematics, Trinity College of Arts & Sciences, Duke University Introduction to Eigenvalues and Eigenvectors Calculator
EIGENVALUES AND EIGENVECTORS OF MATRICES IN TWO DIMENSIONS
EIGENVALUES OF A MATRIX
The Ovals of Cassini and Gershgorin's Circles
EggMath
Egg Math is

CRYPTOLOGY, CRYPTOGRAPHY, QUNATUM CRYPTOLOGRAPHY JOURNALS & EPRINTS
CRYPTOGRAPHY AND SECURITY EPRINTS  arXiv.org Multimedia Cryptography and Security ePrints (Text & Images). For more information see arXiv.org CRYPTOLOGY EPRINTS  International Association for Cryptologic Research Multimedia Cryptology ePrints (ePrint) (Text & Images). For more information see the International Association for Cryptologic Research QUANTUM PHYSICS EPRINTS  INCLUDES QUANTUM CRYPTOGRAPHY  arXiv.org Multimedia Quantum Physics ePrints  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 CRYPTOGRAPHIC ENGINEERING  Publisher: Springer Multimedia Journal of Cryptographic Engineering (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 NIST'S CRYPTOGRAPHIC VALIDATION, ALGORITHM VALIDATION, TOOLKITS, FIPS PUBLICATIONS, COMPUTER SECURITY ITL BULLETINS
Examples of "Federal Information Processing Standards (FIPS)" Publications include
Advanced Encryption Standard; Digital Signature Standard (DSS); Secure Hash Standard (SHS); Personal Identity Verification (PIV) of Federal Employees and Contractors; etc..." ITL SECURITY BULLETINS  COMPUTER SECURITY ITL BULLETINS  Computer Security Division (CSD)  Computer Security Resource Center (CSRC), National Institute of Standards and Technology (NIST) For more information see Publications or the Computer Security Division  Computer Security Resource Center CRYPTOGRAPHIC MODULE VALIDATION PROGRAM (CMVP)  Security Management & Assurance, Computer Security Division (CSD)  Computer Security Resource Center (CSRC), 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
Digital Signatures; Entity Authentication; Key Derivation Functions; Message Authentication; Password Usage and Generation; Secure Hashing; Algorithm Examples..." IACR ONLINE PROCEEDINGS
Examples of "IACR Online Proceedings" include
Fast Software Encryption (FSE) 2011; Public Key Cryptography (PKC) 2011; Theory of Cryptography (TCC) 2010; Fast Software Encryption 2010; Public Key Cryptography 2010; EUROCRYPT 2010; Cryptographic Hardware and Embedded Systems (CHES) 2010; CRYPTO 2010; ASIACRYPT 2010; Theory of Cryptography 2009; etc..." BLACK HAT TECHNICAL WHITE PAPERS
THE FACTORING DEAD: PREPARING FOR THE CRYPTOPOCALYPSE  Authors: Thomas Ptacek (Matasano), Tom Ritter & Javed Samuel (iSEC Partners, Part of NCCGroup) & Alex Stamos (Artemis Internet); Presented at Black Hat USA 2013, Las Vegas, Nevada Multimedia "The Factoring Dead: Preparing for the Cryptopocalypse" Technical White Paper  PDF (Text & Images). VERY VERY EXTENSIVE. "The Factoring Dead: Preparing for the Cryptopocalypse"
RSA Discrete Logarithm Problem (DLP) Elliptic Curve Cryptography (ECC)  Elliptic Curve Discrete Logarithm Problem (ECDLP) Discrete Logarithm Algorithms COMPROMISING INDUSTRIAL FACILITIES FROM 40 MILES AWAY  Authors: L. Apa & C.M.P. Hollman, Security Researchers, IOActive, Inc.; Presented at Black Hat USA 2013, Las Vegas, Nevada Multimedia "Compromising Industrial Facilities from 40 Miles Away" Technical White Paper  PDF, 39 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. "Compromising Industrial Facilities from 40 Miles Away"
TRUECRYPT  FREE OPEN SOURCE ENCRYPTION SOFTWARE
TrueCrypt
"...TrueCrypt is software for establishing and maintaining an ontheflyencrypted volume (data storage device). Onthefly encryption means that data is automatically encrypted right before it is saved and decrypted right after it is loaded, without any user intervention. No data stored on an encrypted volume can be read (decrypted) without using the correct password/keyfile(s) or correct encryption keys..." OPEN CRYPTO AUDIT PROJECT  opencryptoauditproject.org Open Crypto Audit Project

INTRODUCTION TO CRYPTOGRAPHY  (CS55N) (2013)  Dan Bonehs, Applied Crypto Group, Stanford Security Laboratory, Department of Computer Science, School of Engineering, Stanford University; Course Hosted by Coursera Multimedia Introduction to Cryptography Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Introduction to Cryptography
Attacks on stream ciphers and the one time pad Video Lecture; Realworld stream ciphers Video Lecture; Semantic Security Video Lecture; etc..." Message Integrity
CBCMAC and NMAC Video Lecture; MAC padding Video Lecture; etc..." Basci Key Exchange; etc. AN INTRODUCTION TO CRYPTOGRAPHY AND CRYPTANALYSIS (2010)  E. Schaefer, Department of Mathematics & Computer Science, College of Arts and Sciences, Santa Clara University Multimedia An Introduction to Cryptography and Cryptanalysis Book  PDF, 120 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "An Introduction to Cryptography and Cryptanalysis" Book Parts & Sections include
Concepts; etc..."
SelfSynchronizing Stream Ciphers; Modern Block Ciphers; Public Key Cryptography; Diffie Hellman Key Agreement; RSA for Message Exchange; ElGamal Message Exchange; Massey Omura Message Exchange; Elliptic Curve Cryptography; Elliptic Curve Discrete Logarithm Problem; Elliptic Curve Cryptosystems; The MD5 hash function; Schnorr Authentication and Signature Scheme; etc..."
Certificates; Internet Security; Key Management and Salting 20 Quantum Cryptography; Blind Signatures; Digital Cash; Digital Elections; etc..." EXPLORATIONS IN CRYPTOGRAPHY (CCS 130H) (2013)  Ç.K. Koç, Department of Computer Science, College of Engineering, University of California Santa Barbara (UCSB) Multimedia Explorations in Cryptography Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Explorations in Cryptography" Course Lectures include
Elliptic Curve Cryptography (ECC); Elliptic Curve Digital Signature Algorithm (ECDSA; Introduction to DES & AES and Efficient Software Implementations; Random Number Generators for Cryptographic Applications; SideChannel Attacks and Countermeasures; Cryptographic Algorithms and Key Size Issues; etc..." INTRODUCTION TO CRYPTOGRAPHY (MATH 373/578) (2013)  K.K. Toth, Department of Mathematics, West Virginia University Multimedia Introduction to Cryptography Course (Text & Images). VERY VERY EXTENSIVE. Examples of "Introduction to Cryptography" Course Lectures include
Prime Numbers, Unique Factorization, & Finite Fields; Discrete Logarithm Problem; DiffieHellman Key Exchange; ElGamal Public Key Cryptosystem; etc..." Intermediate Cryptography Courses, Lectures, etc. A (RELATIVE EASY TO UNDERSTAND) PRIMER ON ELLIPTIC CURVE CRYPTOGRAPHY (10/24/2013)  CloudFlare, Inc. Multimedia A (Relatively Easy To Understand) Primer on Elliptic Curve Cryptography Technical Report (Text & Images). Elliptic Curve Cryptography (ECC)
ELLIPTIC CURVES (18.783) (2013)  A.V. Sutherland, Department of Mathematics, Massachusetts Institute of Technology (MIT) Multimedia Elliptic Curves Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from over "24" "Elliptic Curves" Course Lectures include
Isogenies and endomorphisms; Endomorphism rings and Hasse's theorem; Schoof's algorithm; Discrete logarithms; Elliptic curve factorization; Elliptic curve primality proving (ECPP) Endomorphism algebras; Elliptic functions, Eisenstein series, Weierstrass pfunction; Orders, ideals, class groups, isogenies over C; The main theorem of complex multiplication; etc..." PRACTICAL CRYPTOGRAPHIC SYSTEMS (650.445) (2012)  Matthew D. Green, Security and Privacy Applied Reasearch (SPAR), Department of Computer Science, Whiting School of Engineering and the Information Security Institute (ISI), Johns Hopkins University Multimedia Practical Cryptographic Systems Course (Text & Images). Examples of "Practical Cryptographic Systems" Course Lectures include
Physical Security; Protocols; Attacking & Defending RFID Devices; Provable Security; Reverse Engineering Software; etc..." CRYPTOGRAPHY (CS 433) (2010)  B. Barak, Microsoft Research New England, Cambridge, MA Multimedia Cryptography (Text & Images). VERY VERY VERY...EXTENSIVE.
Computational model, computational security; Computational indistinguishability, pseudorandom generators; The authentication problem, CCA security; One way permutations and pseudorandom generators, GoldreichLevin Theorem; Public key cryptography and Rabin encryption; Zero knowledge proofs; Forward security, identitybased encryption; Oblivious transfer, Private information retrieval; Secure 2party and multiparty computation; CramerShoup Cryptosystem; etc..." MODERN CRYPTOLOGY (MATH 5410) (2012)  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 EXTENSIVE. Examples of "Modern Cryptology" Course Lectures include
Data Encryption Standard (DES) & Advanced Encryption Standard (AES); The extended Euclidean Algorithm; The SolovayStrassen Primality Test; The Chinese Remainder Theorem; Coding Theory; McEliece Cryptosystem; etc..." CRYPTOGRAPHY AND COMPUTER SECURITY (CS 467) (2013)  M.J. Fischer, Department of Computer Science, Yale University Multimedia Cryptography and Computer Security Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from over "23" "Cryptography and Computer Security" Course Lectures include
Building Block Cipher; etc..." Lecture 11: Discrete Logarithm; DiffieHellman Key Exchange, EIGamal Key Agreement, etc.; Lecture 16: Hash Function Constructions, Authentication Using Passwords, Chinese Remainder Theorem, etc.; Lecture 20: BBS Pseudorandom Sequence Generator, BitPrediction, Shamir's Secret Splitting Scheme, etc.; Lecture 23: PrivacyPreserving Multipary Computation, The Millionaire's Problems, etc..." Graduate Cryptography Courses, Lectures, etc. INTRODUCTION TO CRYPTOGRAPHY (GRADUATE COURSE) (2012)  Y. Dodis, Cryptography Group, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University Multimedia Introduction to Cryptography Graduate Course (Text & Images). VERY VERY VERY...EXTENSIVE. Introduction to Cryptography Graduate Course
"Brushup on number theory. Primes vs. composites, easy and hard problems. RSA, discrete log, factoring..."; "Proving the general construction satisfies the nextbit test. Showing that nextbit test implies all statistical tests. Computational Indistinguishability and..."; "SymmetricKey Encryption. Onetime definition and scheme. CPA definition and..."; "...Commitment Schemes. Definition and properties. Increasing input size: bitbybit composition, hashthencommit technique using CRHF's..."; "...Introduction to ZeroKnowledge (ZK). Proofs and class NP. Interactive protocols and class IP. Importance of..." etc. NM Extractors, Condensers, Crooked LHL, Improved LHL; Optimality of I.T. Key Derivation, Computational Extractors, Dense Model; Robust Extractors and Their Limitations; etc..." RANDOMNESS IN CRYPTOGRAPHY (GRADUATE COURSE) (2013)  Y. Dodis, Cryptography Group, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University Multimedia Randomness in Cryptography Graduate Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from over "15" "Randomness in Cryptography" Course Lectures include
OneTime MACs, (XOR) Universal hashing, Minentropy, Weak Keys; Impossibility of Privacy with Weak Sources; SVrobust Mechanisms and BiasControlLimited Source; Encryption => Extraction, BitFixing Source; Cryptography with Weak Keys but Perfect Local Randomness; NM Extractors, Condensers, Crooked LHL, Improved LHL; Optimality of I.T. Key Derivation, Computational Extractors, Dense Model; Robust Extractors and Their Limitations; etc..." 
PERFECTING THE ART OF SENSIBLE NONSENSE  Author: Erica Klarreich; Published 1/30/2014, Computer Science Category, Quanta Magazine, Simons Foundation Multimedia Perfecting the Art of Sensible Nonsense Article (Text & Images). For more information see Erica Klarreich's Home Page; Computer Science Category; Quanta Magazine or the Simons Foundation Indistinguishability Obfuscation Publications, etc. CANDIDATE INDISTINGUISHABILITY OBFUSCATION AND FUNCTIONAL ENCRYPTION FOR ALL CIRCUITS (THE FIRST CRYPTOGRAPYIC GENERALPURPOSE SOFTWARE OBFUSCATION SCHEME)  S. Garg, C. Gentry, S. Halevi, M. Raykova, A. Sahai, & B. Waters; Date Published: 7/21/2013; Publisher: Cryptology ePrint Archive, International Association for Cryptologic Research (IACR) Multimedia Candidate Indistinguishability Obfuscation and Functional Encryption for all circuits Publication (Text & Images). "Candidate Indistinguishability Obfuscation and Functional Encryption for all circuits" (The First Cryptographic GeneralPurpose Software Obfuscation Scheme)
HOW TO USE INDISTINGUISHABILITY OBFUSCATION: DENIABLE ENCRYPTION, AND MORE  A. Sahai & B. Waters; Date Published: 7/23/2013; Publisher: Cryptology ePrint Archive, International Association for Cryptologic Research (IACR) Multimedia How to Use Indistinguishability Obfuscation: Deniable Encryption, and More Publication (Text & Images). "How to Use Indistinguishability Obfuscation: Deniable Encryption, and More"
PROTECTING OBFUSCATION AGAINST ALGEBRAIC ATTACKS  B. Barak, S. Garg, Y.T. Kalai, O. Paneth & A. Sahai; Date Published: 2/4/2014; Publisher: Cryptology ePrint Archive, International Association for Cryptologic Research (IACR) Multimedia Protecting Obfuscation Against Algebraic Attacks Publication (Text & Images). "Protecting Obfuscation Against Algebraic Attacks"
"...Our result shows that there is a candidate obfuscator that cannot be broken by algebraic attacks, hence reducing the task of creating secure obfuscators in the plain model to obtaining sufficiently strong security guarantees on candidate instantiations of multilinear maps..." ON THE IMPLAUSIBILITY OF DIFFERINGINPUTS OBFUSCATION AND EXTRACTABLE WITNESS ENCRYPTION WITH AUXILIARY INPUT  S. Garg, C. Gentry, S. Halevi & D. Wichs; Date Published: 1/13/2014; Publisher: Cryptology ePrint Archive, International Association for Cryptologic Research (IACR) Multimedia On the Implausibility of DifferingInputs Obfuscation and Extractable Witness Encryption with Auxiliary Input Publication (Text & Images). For more information see the Cryptology ePrint Archive; International Association for Cryptologic Research (IACR); Sanjam Garg's Home Page (Department of Computer Science, UCLA); Craig Gentry's Home Page (Cryptography Research Group, IBM T.J.Watson Research Center); Shai Halevi's Home Page (Cryptography Research Group, IBM T.J.Watson Research Center) or Daniel Wichs Home Page (Department of Computer Science, Northeastern University) LATTICEBASED CRYPTOGRAPHY  HOMOMORPHIC ENCRYPTION AND LATTICES PUBLICATIONS & COURSES
ADVANCED CRYPTOGRAPHY: HOMOMORPHIC ENCRYPTION AND LATTICES (GRADUATE COURSE) (2013)  S. Halevi & T.G. Malkin, Department of Computer Science, The Fu Foundation School of Engineering and Applied Sciences, Columbia University Multimedia Advanced Cryptography: Homomorphic Encryption and Lattices Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Advanced Cryptography: Homomorphic Encryption and Lattices" Course Lectures include
Discrete Gaussians, Smoothing Parameter, Leftover Hash Lemma; The GentryPeikertVaikuntanathan SISbased signatures; The lattice trapdoor construction of MicciciancioPeikert; The GorbunovVaikuntanathanWee LWEbased AttributeBased Encryption Scheme; Ideal Lattices, The NTRU cryptosystem; etc..." LatticeBased Cryptography Pubications THE GEOMETRY OF LATTICE CRYPTOGRAPHY  D. Micciancio, Department of Computer Science & Engineering, Jacobs School of Engineering, University of California, San Diego (UCSD) Multimedia The Geometry of Lattice Cryptography  PDF, 20 Pages (Text & Images). The Geometry of Lattice Cryptography
HOW TO SHARE A LATTICE TRAPDOOR: THRESHOLD PROTOCOLS FOR SIGNATURES AND (H)IBE  Authors: R. Bendlin, S. Krehbiel & C. Peikert; Report: 2013/419, Date: 11/13/2013, Cryptology ePrint Archive, International Association for Cryptologic Research (IACR) Multimedia How to Share a Lattice Trapdoor: Threshold Protocols for Signatures and (H)IBE  PDF, 29 Pages (Text & Images). For more information see the Cryptology ePrint Archive or the International Association for Cryptologic Research (IACR) ASYMPTOTICALLY EFFICIENT LATTICEBASED DIGITAL SIGNATURE  Authors: Vadim Lyubashevsky and Daniele Miccicancio; Report 2013/746, Date 11/13/2013, Cryptology ePrint Archive, International Association for Cryptologic Research (IACR) Multimedia symptotically Efficient LatticeBased Digital Signature  PDF, 20 Pages (Text & Images). For more information see the Cryptology ePrint Archive or the International Association for Cryptologic Research (IACR) QUANTUM CRYPTOGRAPHY, MEASUREMENTDEVICEINDEPENDENT QKD (MDIQKD), BELL NONLOCALITY,
QUANTUM CRYPTOGRAPHY  arXiv.org, Cornell University Library Multimedia Quantum Cryptography Publications  PDF, 51 Pages (Text & Images). For more information see arXiv.org Quantum Cryptography QUANTUM CRYPTOGRAPHY  HoiKwong 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, 2008 Multimedia Quantum Cryptography  PDF, 51 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Quantum 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 reallife applications. Therefore, it can be a concrete avenue for the demonstrations of concepts in quantum information processing..."
Security Proofs; Experimental Fundamentals; Experimental Implementation of BB84 Protocol; Other Quantum Key Distribution Protocols; Quantum Hacking; etc..." MeasurementDeviceIndependent QKD (MDIQKD) FOILING QUANTUM HACKERS  Author: HoiKwong Lo, Centre for Quantum Information and Quantum Control, Departments of Electrical & Computer Engineering and Physics, University of Toronto, Toronto, Ontario, Canada; Published: 9/23/2013, Physics 6, 104 (2013), DOI: 10.1103/Physics.6.104, Physics  Spotlighting Exceptional Research, American Physical Society Multimedia Foiling Quantum Hackers (Text & Images). "Foiling Quantum Hackers"
REALWORLD TWOPHOTON INTERFERENCE AND PROOFOFPRINCIPLE QUANTUM KEY DISTRIBUTION IMMUNE TO DETECTOR ATTACKS  Authors: A. Rubenok, J.A. Slater, P. Chan, I. LucioMartinez, and W. Tittel; Published: Week Ending 9/23/2013, PRL 111, 130501 (2013), Physics Review Letters, Selected for a Viewpoint in Physics: Viewpoint: Foiling Quantum Hackers; Physics  Spotlighting Exceptional Research, American Physical Society Multimedia RealWorld TwoPhoton Interference and ProofofPrinciple Quantum Key Distribution Immune to Detector Attacks (Text & Images). For more information see Foiling Quantum Hackers or Physics  Spotlighting Exceptional Research EXPERIMENTAL MEASUREMENTDEVICEINDEPENDENT QUANTUM KEY DISTRIBUTION  Authors: Yang Liu, TengYun Chen, LiuJun Wang, Hao Liang, GuoLiang Shentu, Jian Wang, Ke Cui, HuaLei Yin, NaiLe Liu, Li Li, Xiongfeng Ma, Jason S. Pelc, M. M. Fejer, ChengZhi Peng, Qiang Zhang, and JianWei Pan; Published: Week Ending 9/27/2013, PRL 111, 130502 (2013), Physics Review Letters, Selected for a Viewpoint in Physics: Viewpoint: Foiling Quantum Hackers; Physics  Spotlighting Exceptional Research, American Physical Society Multimedia Experimental MeasurementDeviceIndependent Quantum Key Distribution (Text & Images). "Experimental MeasurementDeviceIndependent Quantum Key Distribution"
Bell nonlocality BELL NONLOCALITY  Authors: N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner; Published: revised 12/18/2013 (this version, v2), arXiv:1303.2849v2 [quantph], arXiv Multimedia Bell nonlocality  PDF, 65 Pages (Text & Images). "Bell nonlocality"
Nonlocality and quantum theory; Applications of quantum nonlocality; Informationtheoretic perspective on nonlocality; etc..." DetectionLoopholeFree Test of Quantum Nonlocality, and Applications DETECTIONLOOPHOLEFREE TEST OF QUANTUM NONLOCALITY, AND APPLICATIONS Authors: B.G. Christensen, K.T. McCusker, J. Altepeter, B. Calkins, T. Gerrits, A. Lita, A. Miller, L.K. Shalm, Y. Zhang, S.W. Nam, N. Brunner, C.C.W. Lim, N. Gisin and P. G. Kwiat; Published: revised 9/26/2013 (this version, v2), arXiv:1306.5772v2 [quantph], arXiv Multimedia DetectionLoopholeFree Test of Quantum Nonlocality, and Applications Publication  PDF, 11 Pages (Text & Images).
"...we use the source to generate "deviceindependent" private quantum random numbers at rates over 4 orders of magnitude beyond previous experiments..." STEGANOGRAPHY AND DIGITAL WATERMARKING COURSES, LESSONS, TECHNICAL REPORTS, ETC.
WATERMARKING EPRINTS  arXiv.org Multimedia Digital Watermarking ePrints (Text & Images). For more information see arXiv.org SKYDE: A SKYPEBASED 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, 2013 in the Cryptography and Security subsection, Computer Science Section, arXiv.org Multimedia SkyDe: a Skypebased Steganographic Method  PDF, 7 Pages (Text & Images). SkyDe (Skype Hide)
JOHNSON'S STEGANOGRAPHY AND DIGITAL WATERMARKING  Neil F. Johnson, Johnson & Johnson Technology Consultants, LLC. Multimedia Johnson's Steganography & Digital Watermarking Lessons, Software, Technical Reports, etc. (Text & Images). Steganography
PETITCOLAS' STEGANOGRAPHY AND DIGITAL WATERMARKING  Fabien Petitcolas Multimedia Petitcolas' Steganography & Digital Watermarking Lessons, Software, Technical Reports, etc. (Text & Images). For more information see Fabien Petitcolas Home Page A QUICK GLANCE AT DIGITAL WATERMARKING  Bangxi Yu & R. Jain Networking & Communications, Computer Engineering, Department of Computer Science & Engineering, School of Engineering & Applied Science, Washington University in St. Louis Multimedia A Quick Glance at Digital Watermarking (Text & Images). VERY EXTENSIVE. Examples of "A Quick Glance at Digital Watermarking" Sections & Subsections include
Common medium on watermarking; etc..."
DCT and some novel algorithms based on it; DHT and some novel algorithms based on it; etc..." Attack on digital watermarking; etc. Steganography Tools STEGANOGRAPHY ANALYZER REALTIME SCANNER  Steganography Analysis and Research Center (SARC), Backbone Security, Inc. Steganography Analyzer RealTime Scanner (StegAlyzerRTS)
Steganography Analyzer Signature Scanner
Steganography Analyzer Artifact Scanner Steganography Analyzer Artifact Scanner

Advanced Cryptography Calculators & Applets ANU QUANTUM RANDOM NUMBER SERVER  Thomas Symul, Syed Assad & Ping Koy Lam, Secure Quantum Communication Group, Centre for Quantum Computing and Communication Technology, Department of Quantum Sciences (DQS), Research School of Physics and Engineering, The Australian National University, Canberra, Australia VERY VERY VERY...EXTENSIVE. ANU Quantum Random Number Server
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
Basic Rings & Linear Algebra; Lattices & Quadratic Forms; Global Arithmetic Fields; Finite Groups; Lie Groups; Representation Theory; Geometry; Commutative Algebra; Coding Theory; Cryptography; etc..." PRIMO  Marcel Martin, Argenteuil, France VERY VERY VERY...EXTENSIVE. Primo
SAGE & SAGE NOTEBOOK  Sage VERY VERY VERY...EXTENSIVE. SAGE
CRYPTOLOGY CALCULATORS  Christel Bach, Formerly at the Department of Mathematics, Aarhus University, Denmark (2010) VERY VERY VERY...EXTENSIVE. For more information see Christel Bach Danish Design Agency
Elliptic Curve Calculator for any curve
Point calculation on ECC with Suite B Point calculation on ECC with Suite B
Select NIST Curve over Prime Field  P192, P224, P256, P384 & P521; Calculate kP for point you recieve from others..." ECC  Menezes Vanstone Elliptic Curve ElGamal Cryptosystem ECC  Menezes Vanstone Elliptic Curve ElGamal Cryptosystem
Select NIST Curve over Prime Field  P192, P224, P256, P384 & P521; Calculate your public key  or type in Qx and Qy  a recived public key; Encode your message to ASCII decimal value here; etc..." ElGamal Cryptosystem Interactive Applet
Introduction & Intermediate Cryptography Calculators & Applets IMMERSE YOURSELF IN CRYPTOGRAPHY  Crypto Club, a collaboration between UIC's Learning Sciences Research Institute, Department of Mathematics, Statistics, and Computer Science, and The School of Art and Design, University of Illinois, Chicago, Illinois VERY VERY EXTENSIVE. Imerse Yourself in Cryptography
CRYPTOGRAPHY AND NUMBER THEORY  F. Richman, Department of Mathematical Sciences, 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 Mathematical Sciences

ELECTRONIC PAPER & PENCIL CRYPTOGRAPHY CALCULATORS & APPLETS
CipherClerk's Applet
ENIGMA ENCRYPTION MACHINE CALCULATORS & APPLETS
The Enigma Machine Applet
REEDSOLOMON ENCRYPTION CALCULATORS & APPLETS
Finite Field Calculator
RSA ENCRYPTION CALCULATORS & APPLETS
Finding the RSA Public Key Simulation
RSA DEMO APPLET  R. Holowczak, Computer Information Systems, Zicklin School of Business, Baruch College, CUNY VERY EXTENSIVE. RSA Applet
SHIFT CIPHERS CALCULATORS & APPLETS
Shift Ciphters Calculator

Examples of "Ergodic Theory" Course Lectures include
Lecture 9: Ergodicity; Lecture 10: The Furstenberg correspondence principle; Lecture 15: The FurstenbergZimmer structure theorem and the Furstenberg recurrence theorem; Lecture 16: A Ratnertype theorem for nilmanifolds; etc..." 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
Teichmüller Theory; Dynamics of Rational Maps; Hyperbolic 3Manifolds; Holomorphic Motions and Structural Stability; Iteration on Teichmüller Space; Geometrization of 3Manifolds; etc..." CALCULATORS, APPLETS & SOFTWARE
BEAR: BERS Slices of Punctured Tori Calculator
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
Fault Tolerant Computing
Examples of "Fault Tolerant Computing" Subject Categories include
Fault Detection in Encryption Algorithms; Reliability Evaluation; Networks; etc..."
Systematic and Standard Cyclic Codes Arithmetic Encoder/Decoder Applet Advanced Encryption Algorithm  Detection: Fault Detection in AES Encoder and Decoder Applet 4state Markov Chain Solver Calculator Calculation of Terminal Reliability for Two Nodes in a Network Applet Checkpointing Calculators Checkpointing Calculators include
Domino Effect Animation for Distributed Checkpointing Calculator. Fibonacci Numbers
Examples of "Fibonacci Numbers and the Golden Section" Lectures & Lessons include
The Mathematical Magic of the Fibonacci Numbers
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.
Approximate: Immediate result. The length of the answer decreases as i gets larger..." FIBONACCI SERIES CALCULATORS & APPLETS
General Fibonacci Series Calculator
Wythoff Array Calculator Stolarsky Array Calculator FIBONACCI NUMBER SYSTEM CALCULATORS & APPLETS
Fibonacci Number System Calculator INPUT Values include:
FIBONACCI SEQUENCES CALCULATORS & APPLETS
Fibonacci Sequences Calculator

Examples from over "29" "The Fourier Transform and Its Applications" Video Course Lectures include
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"
Fourier Series; Generalized Fourier Series; Complex Integration; Discrete Transforms; Signal Analysis; etc..." 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
The Space S(R^{n}) as Frechet Space; The Fourier Transform; Tempered Distributions; Intermediate Banach Spaces, Regularity; The Poisson Summation Formula; Paley Wiener Theroems; Distributions versus Tempered Distributions; etc..." 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 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 CotlarStein Lemma; etc..." 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
Law of Large Numbers; The Integral; Fatou's Lemma; Bessel's Inequality: Convergence of Fourier Series; Riesz Representation Theorem; Fourier Transform; HilbertSchmidt Operators; etc..." 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
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Higher order Hilber spaces; etc..." 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
Harmonic Functions on the Disk and Poisson Kernel; L^{1} bounded analytic functions and the F. & M. Riesz theorem; The Conjugate Harmonic Function; CalderonZygmund Theory of Singular Integrals; Almost Orthogonality; Schauder Estimates; L^{P} multipliers, Mikhlin theorem and LittlewoodPaley theory; Restriction of the Fourier transform, SteinTomas theorem, Strichartz estimates; The endpoint for the SteinTomas theorem and Strichartz estimates; Some pointwise questions for Fourier series: the case of L^{1} (T); etc..." FOURIER TRANSFORM CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
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
FAST FOURIER TRANSFORM CALCULATOR  J. Clymer, Cincinnati, Ohio VERY EXTENSIVE. Fast Fourier Transform (FFT) Calculator
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
FOURIER TRANSFORMS (FT) OF A GIVEN POINTSET (JAVA APPLET)  S. Weber VERY EXTENSIVE. Fourier Transform on Periodic Point Sets Calculator
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Fast Fourier Transform of "Bit Pattern" Calculator
FOURIERLAPLACE CALCULATORS & APPLETS
Fourier Laplace Calculator
FOURIER TRANSFORM EXPERIMENTATION CALCULATORS & APPLETS  IMAGE PROCESSING
FOURIER SERIES CALCULATORS & APPLETS
Fourier Series Calculator:
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
FOURIER SERIES CALCULATION FOR TYPICAL DIGITAL WAVEFORMS  EE Circle VERY EXTENSIVE. Fourier Series Calculator for Typical Digital Clock Waveforms
FOURIER SERIES SIMULATION (JAVA APPLET)  P. Falstad VERY EXTENSIVE. Fourier Series Calculator
FOURIER SYNTHESIS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Available in English & French/Français. Fourier Synthesis Calculator
FOURIER SYNTHESIS (JAVA APPLET)  M. Thole, Institut für Netzwerktheorie und Schaltungstechnik, Braunschweig, Bundesrepublik Deutschland (Germany) VERY EXTENSIVE. Fourier Synthesis Calculator
FOURIERSYNTHESE (JAVA APPLET)  M. Thole, Institut für Netzwerktheorie und Schaltungstechnik, Braunschweig, Bundesrepublik Deutschland (Germany) VERY EXTENSIVE. Fourier Synthesis Calculator

Mathematical Imagery Categories include
Hybrid 3D Fractals Gallery
4D Polychora and Hyperbolic Space Gallery; True 3D Limit Sets of Kleinian Groups Gallery; etc..." ULTRA FRACTAL: ADVANCED FRACTAL SOFTWARE FOR WINDOW & MAC OS X  Frederik Slijkerman Ultra Fractal Software
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Fractals Applets are a
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
FRACTAL MODELING 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
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
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  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
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..." 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
GEOMETRY (JAVA APPLETS)  Asian Technology Conference in Mathematics (ATCM) VERY VERY VERY...EXTENSIVE. Geometry Applet Subject Categories include:
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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
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
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..." TRIGONMETRY CALCULATORS & APPLETS (METRIC)  Wonga Beach Q.L.D. Australia VERY VERY EXTENSIVE. Trigonmetry Calculators include:
Circles Calculator; Angles Calculator..."
Input Type of Liquid
Benzene, Caster Oil,Crude Oil, Gasoline, Heptane, Propane, Water, etc..." TRIGONMETRY CALCULATORS & APPLETS  Asian Technology Conference in Mathematics (ATCM) VERY VERY VERY...EXTENSIVE. Examples form over "24" Trigonmetry Calculators & Applets include:
Tangent Function Box; Cosine Function Box; Graph of y=sin ax; The Law of Cosines; Law of Sines; etc..." GEOMETRY COURSES, TEXTBOOKS & LESSONS WITH CALCULATORS, APPLETS, ANIMATIONS SIMULATIONS
Geometry
EUCLID'S ELEMENTS CALCULATORS, APPLETS, ANIMATIONS SIMULATIONS
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
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..." ECULIDEAN & NONECULIDEAN GEOMETRY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Includes over "600" Geometry Calculators & Applets. For more information see Department of Mathematics or the National Tsing Hua University PYTHAGOREAN CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
GENERATING PYTHAGOREAN TRIPLES (JAVA APPLET)  N. Exner, Office for Mathematics, Science & Technology Education, University of Illinois, UrbanaChampaign Pythagorean Triples Calculator
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
Includes over "400" Geometry Applets in the Following Subject Categories
Parabola Applets; EpicycloidsHypocycloidsTrochoids 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..." GEOMETRY CALCULATORS & APPLETS BY VARIOUS CATEGORIES
"...The Interactive Geometry Software Cinderella..." For more information see Cinderella, The Interactive Geometry Software
Include over "20" HyperDimension Applets including
HyperPlane Applet; HyperCube Applet; 4DHyperbola Applet; 4DTorus Applet; 5DCube Applet; etc..." 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

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
General definition of curvature using polygonal approximations (FoxMilnor's theorem); Osculating circle, Kneser's Nesting Theorem, total curvature, convex curves; Torsion, FrenetSeret 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..."
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..." 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
Tangent Spaces and Derivatives; Submanifolds of Smooth Manifolds; etc..."
Vector Bundles; Vector Fields, Lie Brackets and Flows..."
Riemannian and PseudoRiemannian Manifolds; etc..." 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
More Floer homology; almostcomplex 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 1form; Nijenhuis tensor; integrability; square of the dbar operator; NewlanderNirenberg 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 4manifolds; etc..." 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
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..." 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
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..." SemiRiemann Geometry and General Relativity SEMIRIEMANN 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 "SemiRiemann Geometry and General Relativity". Examples of "SemiRiemann Geometry and General Relativity" Course (Book) Chapters include
Rules of Calculus; LeviCivita Connections; The bundle of frames; Connections on principal bundles; Gauss’s lemma; Special relativity; Die Grundlagen der Physik; Submersions; Petrov types; etc..." 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
ADVANCED GEOMETRY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Converting Triangulations to Quadrangulations Calculator:
HIGH PERFORMANCE CALCULATORS FOR GEOMETRY
MAGMA Computational Algebra System Calculator is a
Basic Rings & Linear Algebra; Lattices & Quadratic Forms; Global Arithmetic Fields; Finite Groups; Lie Groups; Representation Theory; Geometry; Commutative Algebra; Coding Theory; Cryptography; etc..." SAGE & SAGE NOTEBOOK  Sage VERY VERY VERY...EXTENSIVE. SAGE

COMPUTER AIDED GEOMETRIC DESIGN CALCULATORS & APPLETS
CAGDApplets
Curves: BSpline Representation; Subdivision; Differential Geometry; Surfaces: Tensor Product Surfaces & Triangular Patches; Rational Surfaces; etc..."
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Pappus' Theorem Applet; Dual Theorem of Pappus Applets; Pascal's Theorem Applet; etc..." Curves: BSpline Representation; Subdivision; Differential geometry; etc. Applets Curves: BSpline Representation; Subdivision; Differential geometry; etc. Applets include:
Spline Division Applet; BSpline Knot Refinement Applet; Four Point Scheme Applet; etc..." PERIODIC BILLIARD PATHS IN TRIANGLES CALCULATORS & APPLETS
McBilliards
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Geometric Calculator is
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Available in English & German/Deutsch. Spherical Easel is

Computational Geometry Course
FixedRadius Near Neighbors and Geometric Basics; Orientations and Convex Hulls; Convex Hull Algorithms; Line Segment Intersection; Planar Graphs, Polygons and Art Galleries; etc..." HIGH PERFORMANCE COMPUTATIONAL GEOMETRY CALCULATORS & APPLETS
MAGMA Computational Algebra System Calculator is a
Basic Rings & Linear Algebra; Lattices & Quadratic Forms; Global Arithmetic Fields; Finite Groups; Lie Groups; Representation Theory; Geometry; Commutative Algebra; Coding Theory; Cryptography; etc..." SAGE & SAGE NOTEBOOK  Sage VERY VERY VERY...EXTENSIVE. SAGE
COMPUTATIONAL GEOMETRY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
3Coins Algorithm for Convex Hulls of Polygons Calculator
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
Computational Geometry in Code
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
Graph Theory
GRAPH THEORY COURSES
Examples of "Graph Theory" Course Lectures include
Graph Isomorphism and Matrix Representations; Trees; Counting, Traversing and Searching Binary Trees; DepthFirst and BreadthFirst Search; Connectivity; Optimal Graph Traversals; Network Flows and Applications; Permutations and Combinations; Computational Complexity and Algorithms; etc..." ANALYSIS ON GRAPHS AND ITS APPLICATIONS COURSES, TEXTBOOKS, LECTURES, ETC.
Includes over "48" "Analysis on Graphs and its Applications" Video Lectures. Examples of "Analysis on Graphs and its Applications" Video Seminars include
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..." 
MULTIFUNCTIONAL PLOTTING CALCULATORS, APPLETS & SPREADSHEETS (XLS) MULTIFUNCTIONAL 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
ONLINE UTILITES & SOFTWARE (SPREADSHEETS OPEN ONLINE WITH EXCEL, iWORKNUMBERS, IBM LOTUS SYMPHONY, NEOOFFICE, OPENOFFICE CALC, ETC.)  S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY VERY...EXTENSIVE. Grapher Calculators Include:
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 GaussJordan Calculator; Excel First and Second Derivative Graphing Calculator; Riemann Sum Grapher Calculator; etc..." 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
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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
FUNCTION PLOTTER (JAVA APPLET)  Andreas de Vries, Math It, Fachbereich Technische Betriebswirtschaft, Germany In English & German/Deutsch. VERY VERY EXTENSIVE. Function Plotter
GNUPLOT  CALCULATORS  The Shodor Education Foundation, Inc. VERY VERY EXTENSIVE. GNUPLOT allows you to
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IntegGrapher Calculator IntegGrapher Calculator is
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Rigorous Graphing Calculator Rigorous Graphing Calculator
Rigorous Inital Value Problem Solver Calculator Rigorous Inital Value Problem Solver Calculator

ALGEBRA GRAPHING & PLOTTING CALCULATORS & APPLETS 3D EQUATION GRAPHING CALCULATOR  AlgebraHelp.com Algebra 3D Equation Graphing Calculator
EQUATION GRAPHING CALCULATOR  AlgebraHelp.com Albegra Equation Graphing Calculator
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
GRAPHING 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
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
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
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Newton's Divided Difference Calculator
NEWTON'S METHOD CALCULATOR  K.M. Levasseur, Department of Mathematical Sciences, University of Massachusetts Lowell VERY VERY VERY...EXTENSIVE. Newton's Method Calculator
Examination of the Midpoint and Trapezoid Rule Errors Examination of the Midpoint and Trapezoid Rule Errors
Taylor Polynomials A Taylor polynomial
Riemann Integration Riemann Integration
Numerical Integration Calculator

Polar Equations Calculator
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
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
GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
CHEMISTRY GRAPHING & PLOTTING CALCULATORS & APPLETS WINDATA GRAPHING CALCULATOR FOR CHEMISTRY  B. Hanson, Department of Chemistry, St. Olaf College, Morthfield, Minnesota VERY VERY EXTENSIVE. Windata Graphing Calculator for Chemistry
GRAPHING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
DIFFERENTIAL EQUATIONS GRAPHING & PLOTTING CALCULATORS & APPLETS FOR DIFFERENTIAL EQUATIONS GRAPHING & PLOTTING CALCULATORS SEE DIFFERENTIAL EQUATIONS GRAPHING 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
INTEGRATION: NUMERICAL INTEGRATION CALCULATOR  S. Waner (Emeritus), Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Numerical Integration Calculator

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
GRAPHING 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
GRAPHING 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
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NUMERICAL ANALYSIS GRAPHING & PLOTTING CALCULATORS & APPLETS FOR NUMERICAL ANALYSIS GRAPHING & PLOTTING CALCULATORS & APPLETS SEE NUMERICAL ANALYSIS GRAPHING 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
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
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
Hypercube & NDimensional
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
Hysteresis
Introduction to Hysteresis Course
Click on PDF. Statistical Mechanics: Entropy, Order Parameters, and Complexity
Temperature and equilibrium; Entropy; Free energies; Quantum statistical mechanics; Order parameters, broken symmetry, and topology; Abrupt phase transitions; etc..." 
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