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MARTINDALE'S
CALCULATORS ON-LINE CENTER MATHEMATICS CENTER: I-M (Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.) |
Detailed descriptions of how each operation works; A JAVA demonstration of each operator, with online JAVA code for the core of the algorithm; An interactive tableau where multiple operators can be linked together to demonstrate sequences of operations; etc..."
Point Operations; Geometric Operations; Image Analysis; Morphology; Digital Filters; Feature Detectors; Image Transforms; Image Synthesis; Convolution..."
Integers & Integer Sequences
ENCYCLOPEDIA OF INTEGER SEQUENCES SLOANE'S ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES - N.J.A. Sloane, The OEIS Foundation Inc. VERY VERY VERY...EXTENSIVE. What comes next after 1, 2, 4, 9, 20, 48, 115, 286, 719, ...?
French, German, Hebrew, Hindi, Hungarian, Italian, Japanese, Korean, Polish, Portuguese, Romanian, Russian, Serbian, Spanish, Swedish, Turkish, etc. INTEGER CALCULATORS & APPLETS
Arbitrary-Precision Integer Calculators
INTEGER FACTORIZATION CALCULATORS & APPLETS
GAUSSIAN INTEGER FACTORIZATION APPLET - D.A. Alpern, Buenos Aires, Argentina VERY VERY VERY...EXTENSIVE. Gaussian Integer Factorization Calculator
Integrals
Wolfram Mathematica Online Integrator
Interval Arithmetic
INTERVAL ARITHMETIC CALCULATORS - T.J. Hickey, Department of Computer Science, Brandeis University VERY VERY EXTENSIVE. Examples of "Interval Arithmetic" Calculators include
IA-Eval "...a simple Interval Arithmetic Evaluator..." GIA-Eval "...A General Interval Arithmetic Evaluator..." JAVA-INTERVAL CALCULATOR - M.G. Arnold, Computer Architecture & Arithmetic Research (CAAR), Department of Computer Science and Engineering, P.C. Rossin College of Engineering & Applied Science, Lehigh University VERY VERY EXTENSIVE. Java-Interval Calculator
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KNOTS COURSES, TEXTBOOKS, LECTURES, LESSONS, ETC. MATHEMATICS AND KNOTS - Designed by: R. Brown , N. Gilbert, & T. Porter; W.W.W. Production by: C. Quinton, Schools of Electronics and Computer Science, Department of Mathematics, University of Wales, Bangor Multimedia Mathematics and Knots Lessons (Text & Images). Mathematics and Knots
THE KNOTPLOT SITE - R.G. Scharein, Hypnagogic Software VERY VERY VERY...EXTENSIVE. The KnotPlot Site
KNOT CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS HYPERBOLIC KNOT CENSUS: 3D INTERACTIVE VIEWER (JAVA APPLETS) - R.G. Scharein, Hypnagogic Software VERY VERY VERY...EXTENSIVE. Hyperbolic Knot Census
KNOT SIMPLIFIER (JAVAVIEW) - M. Andreeva, I. Dynnikov, S. Koval, K. Polthier & I. Taimanov, The JavaView Project, Germany VERY VERY EXTENSIVE. For more information see JavaView TORUS KNOTS 2D & 3D: CREATE 2D & 3D TORUS KNOTS - CALCULATOR - Wolfram Research Inc. VERY EXTENSIVE. Torus Knots
TOPOLOGY COURSES & TEXTBOOKS
Algebraic Topology
Homology; Cohomology; Homotopy Theory; etc..." ALGEBRAIC TOPOLOGY II - D.R. Wilkins, School of Mathematics, Faculty of Science, Trinity College, University of Dublin, Ireland Multimedia Algebraic Topology II Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from Algebraic Topology II Course Parts & Sections include
Free Modules..."
Homology Calculations; etc..."
The Topological Invariance of Simplicial Homology Groups; etc..." ALGEBRAIC TOPOLOGY II - M. Behrens, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Algebraic Topology Course (Text & Images). VERY VERY EXTENSIVE. Algebraic Topology
Pointed Spaces and Homotopy Groups; Cofibers; Puppe Sequences; Fibrations; The Hurewicz Homomorphism; The Spectral Sequence of a Filtered Complex; Line Bundles; etc..." GENERAL TOPOLOGY AND REAL ANALYSIS - D.R. Wilkins, School of Mathematics, Faculty of Science, Trinity College, University of Dublin, Ireland Multimedia General Topology and Real Analysis Course, PDF (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "General Topology and Real Analysis" Course Lectures include
Complete metric spaces, normed vector spaces, and Banach spaces; Topological spaces; Compact spaces; The Lebesgue integral; Signed measures and the Radon-Nikodym Theorem; etc..." POINT-SET TOPOLOGY - B. Ikenaga, Department of Mathematics, School of Science and Mathematics, Millersiville University, Millersville, PA Multimedia Point-set Topology Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Point-set Topology" Course Lectures include
Hausdorff Spaces; Homeomorphisms; Quotient Spaces; Connected Subsets of the Reals; Limit Point Compactness and Sequential Compactness; Urysohn's Lemma; The Tietze Extension Theorem; etc..." SPECTRAL SEQUENCES IN ALGEBRAIC TOPOLOGY - A. Hatcher, Department of Mathematics, Cornell University Multimedia Spectral Sequences in Algebraic Topology Textbook, PDF (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Spectral Sequences in Algebraic Topology" Textbook Chapters include
Adams Spectral Sequence; Eilenberg-Moore Spectral Sequences..." VECTOR BUNDLES & K-THEORY - A. Hatcher, Department of Mathematics, Cornell University Multimedia Bundles & K-Theory Textbook - PDF, 115 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Vector Bundles & K-Theory
Classifying Vector Bundles..."
Division Algebras and Parallelizable Spheres; etc..."
Euler and Pontryagin Classes; etc..."
Upper Bounds on Im J..." Computational Topology INTRODUCTION TO COMPUTATIONAL TOPOLOGY - A. Zomorodian, Computer Graphics, Stanford University Multimedia Introduction to Computational Topology Course (Text & Images). VERY VERY VERY...EXTENSIVE. Introduction to Computational Topology
Surface Topology; Simplicial Complexes; Group Theory; Homotopy; Isosurface Topology Simplification; Topology Matching for fully Automatic Similarity Estimation of 3D Shapes; etc..." TOPOLOGY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
ALGEBRAIC SURFACE SOLVER (JAVAVIEW) - The JavaView Project, Germany VERY VERY EXTENSIVE. Algebraic Surface Solver
GALLERY OF SURFACES (JAVA APPLETS) - I. McIntosh, Department of Mathematics, University of York, U.K. VERY EXTENSIVE. Surface Applets include:
Delaunay Unduloid; Delaunay Nodoid; Smyth Surface; Smyth-Delaunay; Generalized Smyth Surface; Triunduloid, etc..." JAVAVIEW - INTERACTIVE 3D GEOMETRY AND VISUALIZATION (JAVA APPLETS) - The JavaView Project, Germany VERY VERY VERY...EXTENSIVE. For more information see JavaView
SURFACES OF CONSTANT CURVATURE: DINI, KUEN & PSEUDOSPHERE PRINCIPALS - CALCULATOR - Wolfram Research Inc. VERY EXTENSIVE. Surfaces of Constant Survature using LiveGraphics3D includes
Pseudoshphere Surface; Dini Surface..." |
Examples of "Multivariable and Vector Analysis" Course Chapters & Subchapters include
Differentiation
Total Derivatives; Consequences of Differentiability; Conditions for Differentiability; Properties of the Derivative; etc..."
Inverse Function Theorem; etc..."
Functions of Two Variables; etc..."
Double Integrals over Special Regions; Fubini's Theorem; Mean Value Theorem; etc..." VECTOR CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Vector Land
Vector Arithmetic Calculator
VECTOR CALCULATOR (JAVA APPLET) - J. Gea-Banacloche, Department of Physics, Natural Sciences, Fulbright College of Arts & Sciences, University of Arkansas Vector Calculator is
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Finite Lambda Model Calculator
THE PENN LAMBDA CALCULATOR - L. Champollion, J. Tauberer & M. Romero, Department of Linguistics, University of Pennsylvania VERY VERY EXTENSIVE. The Penn Lambda Calculator
Lattices
A CATALOGUE OF LATTICES - N.J.A. Sloane, AT&T Shannon Lab, AT&T Labs, AT&T Multimedia Lattice Database (Text & Images). VERY VERY VERY...EXTENSIVE. Catalogue of Lattices Database
LATTICE CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
I(h) Lattice Calculator
PHASE TRANSITIONS ON LATTICES CALCULATORS & APPLETS
Available in English & Russian. Examples of Phase Transitions on Lattices Subject Categories include
Topological Exitations in Ferromagnetics; Percolation; Path Integrals in Quantum Mechanics..."
LATTICE DRAWING CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Lattice Drawing Calculator
Lebesgue Integration, Measure Theory & Measure and Integration Theory
Examples of "Introduction to Lebesgue Integration" Course Chapters & Subchapters include
Consequences of the Completeness Axiom..."
Lower and Upper Integrals; Riemann Integrability..."
Sets of Measure Zero; Compact Sets; etc..."
Lebesgue Integrable Functions on an Interval; Sets of Measure Zero; etc..." Dominated Convergence Theorem; etc. MEASURE THEORY COURSES, TEXTBOOKS & LECTURES
Examples of "Measure Theory" Course Lectures include
Measureable Functions; Littlewood Principles; Lebesgue Integral and Convergence Theorems; General Mesaure; Fundamental Theorem; Convex Functions; Modes of convergence; etc..." MEASURE THEORY (MATH 206) - J.K. Hunger, Applied Mathematics Group, Department of Mathematics, Division of Mathematical and Physical Sciences, College of Letters and Science, University of California, Davis Multimedia Measure Theory Course - PDF (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Measure Theory" Course Chapters include
Integration and Convergence Theorems; Product Measures and Fubini's Theorem; Differentiation and Lebesgue's Theorem; Radon Measures and Integrals as Linear Functionals; etc..." MEASURE THEORY AND INTEGRATION THEORY COURSES, TEXTBOOKS & LECTURES
MEASURE AND INTEGRATION - J. Viaclovsky, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Measure and Integration Course (Text & Images). VERY VERY VERY...EXTENSIVE. Measure and Integration
Real-valued Measurable Functions; Limits of Measurable Functions; Simple Functions; Positive Measures; Definition of Lebesgue Integral; Comparison of Lebesgue and Riemann Integrals; Properties of Positive Measures; Elementary Properties of the Lebesgue Integral; Measure of Special Rectangles; Measure of Special Polygons; Measure of Open Sets; Dominated Convergence Theorem Holds for Convergence in Measure; etc..." Graduate Measure and Integration Courses, Textbooks, etc. REAL ANALYSIS FOR GRADUATE STUDENTS: MEASURE AND INTEGRATION THEORY (2011) - Richard F. Bass, Department of Mathematics, College of Liberal Arts and Sciences, University of Connecticut Multimedia Real Analysis for Graduate Students: Measure and Integration Theory - PDF, 194 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Real Analysis for Graduate Students: Measure and Integration Theory" Textbook Chapters include
Measures; Measurable Functions; The Lebesgue Integral; Properties of Lebesgue Integrals; Product Measures; The Radon-Nikodym Theorem; Diffenentiation; Riesz Representations; Banach Spaces; Hilbert Spaces; etc..." Level Set Methods
Fast Marching Methods and Level Set Methods
"...Level Set Method: An Act of Violence..."
Soap Bubbles Video; Medical Scans Video; Rising Bubble Video; Microchip Manufacturing Video; etc..."
Limits of Mathematics & Information Theory
The Limits of Mathematics---The Book
THE LIMITS OF MATHEMATICS---ALTERNATIVE VERSION (JULY, 1994) - G.J. Chaitin, IBM Thomas J. Watson Research Center, Yorktown Heights, N.Y. & Hosted by the Department of Computer Science, University of Maine Multimedia The Limits of Mathematics---Alternative Version - PDF, 255 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. The Limits of Mathematics---Alternative Version
LIMITS OF MATHEMATICS CALCULATORS & APPLETS
LISP interpreter for The Limits of Mathematics, The Unknowable, Exploring Randomness Calculator
INFORMATION THEORY COURSES, TEXTBOOKS, ETC.
INFORMATION THEORY IN COMPUTER SCIENCE (2010) - A. Rao, Theory and Algorithms Research, University of Washington Computer Science & Engineering, University of Washington Multimedia Information Theory in Computer Science Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from over "20" "Information Theory in Computer Science" Course Lectures include
Monotone formula lower bounds via graph entropy; Shearer’s lemma, with applications to counting graph embeddings and the size of intersecting families; The parallel repetition theorem; On data structures and asymmetric communication complexity; The space complexity of approximating the frequency moments; Unbalanced expanders and randomness extractors from parvaresh-vardy codes; etc..." SHANNON'S EXPERIMENT TO CALCULATE THE ENTROPY OF ENGLISH (JAVA APPLET) - D. Little, T. Mastro, M. Zabrocki & A.M. Garsia, Department of Mathematics, Eberly College of Science, Pennsylvania State University VERY EXTENSIVE. Shannon's Experiment to Calculate the Entropy of English
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PRACTICAL OPTIMIZATION: A GENTLE INTRODUCTION - J.W. Chinneck, Department of Systems & Computer Engineering, Carleton University, Canada Multimedia Practical Optimization Course (Text, Images & Animations). VERY VERY VERY...EXTENSIVE. Practical Optimization: A Gentle Introduction
Towards the Simplex Method for Efficient Solution of Linear Programs; The Mechanics of the Simplex Method; Solving General Linear Programs; Sensitivity Analysis; Linear Programming in Practice; PERT for Project Planning and Scheduling; Dynamic Programming; etc..."
Network Animations; Integer Programming Animations; Yeuristics for Discrete Optimization Animations; etc..." Linear Programming - Undergraduate & Graduate LINEAR PROGRAMMING: FOUNDATIONS AND EXTENSIONS - R.J. Vanderbei, Department of Operations Research and Financial Engineering, School of Engineering and Applied Science (SEAS), Princeton Universtiy Multimedia Linear Programming Textbook, Introductory Graduate Lectures, Exercises, etc. (Text, Images & Applets). VERY VERY VERY...EXTENSIVE. Examples of "Linear Programming: Foundations and Extension" Course Lectures include
Degeneracy; Efficiency; Duality; Self-Dual Simplex Method; Parametric Simplex Method; etc..." NONLINEAR PROGRAMMING COURSES & TEXTBOOKS
Nonlinear Programming Course
Duality Theory Video Lecture; Semidefinite Optimization Video Lecture..."
Newton's Method; Steepest Descent Method; Constrained Optimization Optimality Conditions; Projection Methods for Equality Constrained Problems; Penalty Methods; Interior-Point Methods for Linear Optimization; Analysis of Convex Sets; etc..." LINEAR & NONLINEAR MATHEMATICAL PROGRAMMING CALCULATORS & APPLETS
Modeling Language for Mathematical Programming (AMPL)
"...lets you use common notation and familiar concepts to formulate optimization models and examine solutions, while the computer manages communication with an appropriate solver..." AFFINE-SCALING ALGORITHM CALCULATORS & APPLETS
Affine-Scaling Algorithm Applet
LINEAR PROGRAMMING GRAPHER CALCULATORS & APPLETS: TWO VARIABLES
Linear Programming Grapher Calculator
LINEAR PROGRAMMING AND PIVIOTING CALCULATORS & APPLETS
Linear Programming and Pivoting in 2D Calculator:
"...Pivoting: the user may pivot in 2 ways. The first is..." |
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NONLINEAR EQUATIONS CALCULATORS & APPLETS
Nonlinear Calculator
SOLVE NONLINEAR EQUATIONS ONLINE - Engineers' Compendium, Sheba Construction & Management Pty. Limited, Bowral, NSW, Australia VERY VERY EXTENSIVE. Nonlinear Equations Calculator:
SIMPLEX METHOD CALCULATORS & APPLETS
An Introduction to the Simplex Method
LINEAR PROGRAMMING: LP EXPLORER (JAVA APPLET) - J.A. Julain Hall & M. Baird, Department of Mathematics & Statistics, University of Edinburgh, Scotland, U.K. VERY VERY EXTENSIVE. LP Explorer
NETWORK SIMPLEX METHOD (JAVA APPLET) - R. Vanderbei, Department of Operations Research and Financial Engineering, School of Engineering and Applied Science (SEAS), Princeton University VERY VERY EXTENSIVE. Network Simplex Method Calculator
PIVOT AND GAUSS-JORDAN TOOL - S. Waner, Department of Mathematics, Hofstra University VERY VERY EXTENSIVE. Pivot and Gauss-Jordan Calculator is
SIMPLEX PIVOT TOOL - ADVANCED (JAVA APPLET) - R. Vanderbei, Department of Operations Research and Financial Engineering, School of Engineering and Applied Science (SEAS), Princeton University VERY VERY EXTENSIVE. Simplex Pivot Calculator
"...features an artificial objective row and an artificial right-hand side column, which can be used to guide pivot choices for either a primal or a dual phase one process..." SIMPLEX METHOD TOOL - S. Waner, Department of Mathematics, Hofstra University VERY EXTENSIVE. Simplex Method Calculator allows you to
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Discrete Logarithm Calculator
LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS CALCULATOR - Maritime Safety Information, National Geospatial Intelligence Agency VERY VERY EXTENSIVE. Logarithmic and Trigonometric Functions Calculator
LOGARITHM CALCULATOR (JAVA APPLET) - P. Alfeld, Department of Mathematics, University of Utah VERY EXTENSIVE. Logarithm Calculator explores
Logic - Mathematical Logic, Universal Algebra,
Descriptive Set Theory, Axiomatic Set Theory, etc.
FOUNDATIONS OF MATHEMATICS (MATH 770) - K. Kunen, Department of Mathematics, University of Wisconsin Multimedia Foundations of Mathematics Course - PS & PDF, 148 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Foundations of Mathematics" Course Sections include
Set Theory; Model Theory; etc..." Descriptive Set Theory DESCRIPTIVE SET THEORY, SECOND EDITION, 2009 - Y.N. Moschovakis, Department of Mathematics, University of California, Los Angeles (UCLA) & the Department of Mathematics, University of Athens, Panepistimioupolis, Athens, Greece Multimedia Descriptive Set Theory, 2nd Edition Online Book - PDF, 516 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Descriptive Set Theory" Chapters include
Basci Notions of the Effective Theory; Structure theory for pointclasses; The Constructible Universe; The Recursion Theorem; Metamathematics; etc..." DESCRIPTIVE SET THEORY (MATH 512) - D. Marker, Department of Mathematics, Statistics, and Computer Science, College of Liberal Arts & Sciences, University of Illinois, Chicago, Illinois Multimedia Descriptive Set Theory Course - PDF, 105 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Descriptive Set Theory" Course Sections & Chapters include
Borel Sets; Effective Descriptive Set Theory: The Arithmetic Hierarchy; Coanalytic Sets; Hyperarithmetic Sets; etc..."
Countable Borel Equivalence Relations; Hyperfinite Equivalence Relations; etc..." Axiomatic Set Theory INTRODUCTION TO AXIOMATIC SET THEORY - Scott Weinstein, Department of Philosophy, Department of Computer and Information Science; Department of Mathematics and the Logic and Computation Group; Typed by Brent Yorgey & Vilhelm Sjoberg, School of Arts and Sciences, University of Pennsylvania Multimedia Introduction to Axiomatic Set Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Introduction to Axiomatic Set Theory" Course Lectures include
Ordinals, transfinite induction; Transfinite recursion, cardinals; Cardinals (Axiom of Choice, cardinality, normal functions, cofinality, cardinal arithmetic); Proof of the Lowenheim-Skolem Theorem and related results; Strongly inaccessible cardinals and ZF; Independence of CH from ZFC (partial orders, filters, P-genericity); etc..." UNIVERSAL ALGEBRA COURSES, TEXTBOOKS, CALCULATORS, ETC.
UNIVERSAL ALGEBRA - J. Jezek, Department of Algebra, School of Mathematics, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic Multimedia Universal Algebra Course (Book) - PDF, 331 Pages (Text & Images). Examples of "Universal Algebra" Course (Book) Chapters include
Structures and Algebras; Lattices and Boolean Algebras; Model Theory; Varieties; Mal'cev Type Theorems; Commutator Theory and Abelian Algebras; Algorithms in Universal Algebra; Minimal Sets; The Lattice of Equational Theories; etc..." UNIVERSAL ALGEBRA - S.N. Burris (Emeritus), (Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo); & H.P. Sankappanavar, (Department of Mathematics and Computer Science, SUNY, New Paltz, New York) Multimedia A Course in Universal Algebra - The Millennium Edition - PDF, 331 Pages (Text & Images). Examples of "A Course in Universal Algebra" Sections and Chapters include
The Elements of Universal Algebra
The Irredundant Basis Theorem; Homomorphisms and the Homomorphism and Isomorphism Theorems; Subdirect Products, Subdirectly Irreducible Algebras, and Simple Algebras; Class Operators and Varieties; Terms, Term Algebras, and Free Algebras; Identities, Free Algebras, and Birkhoff ’s Theorem; etc..."
Orthogonal Latin Squares; etc..."
Boolean Rings; Stone Duality; Primal Algebras; Discriminator Varieties; Quasiprimal Algebras; etc..." Universal Algebra Calculators & Applets UACALC - A UNIVERSAL ALGEBRA CALCULATOR - R. Freese, Department of Mathematics, College of Natural Sciences, University of Hawaii, Manoa, Hawaii VERY VERY VERY...EXTENSIVE. UACalc - A Universal Algebra Calculator - Download - Java For more information see An algebra calculator program; The Lattice Theory Homepage; Ralph Freese's Home Page or the Department of Mathematics |
Includes more than "2820" Images & Animations, including:
Deterministic Chaos; Particle Systems; Deterministic Fractal Geometry; Non Deterministic Fractal Geometry and Natural Phenomenon Synthesis; Fluid Mechanics; Celestial Mechanics; Astrophysics; Sensitivity to Rounding-Off Errors; Number Theory; Signal Processing; Texture Synthesis; etc..." Math Music
METAMATH MUSIC - N. Megill VERY VERY EXTENSIVE. Mathematical Proofs Set to Music
VISUALIZING PHYSICS WITH SOUND - Landau Research Group, Department of Physics, Oregon State University VERY EXTENSIVE. Vsualizing Physics with Sound includes
Frequency Modulation; Direct Transformation; etc..." Math Video Lectures & Seminars in Various Disciplines
NSF MATHEMATICAL SCIENCES INSTITUTES MSRI: VMATH, THE NEXT GENERATION FOR MATH LECTURES: MATHEMATICS VIDEO LECTURES (QUICKTIME) - Mathematical Sciences Research Institute (MSRI), Berkeley, CA Multimedia Mathematical Sciences Research Institute (MSRI) Math Lectures (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Includes over "2,000" Mathematical Sciences Research Institute (MSRI) Math Video Lectures in Various Disciplines including
Random Matrix Theory and Its Applications Video Lectures; Kervaire invariant Video Lectures; Inverse Problems: Theory and Applications Video Lectures; Symplectic and Contact Topology and Dynamics: Puzzles and Horizons Video Lectures; Symplectic and Poisson Geometry in interaction with Algebra, Analysis and Topology Video Lectures; Symplectic Geometry, Noncommutative Geometry and Physics Video Lectures; Elliptic Curves and Applications Video Lectures; Computing with Elliptic Curves Video Lectures; etc..." ISAAC NEWTON INSTITUTE MATH SEMINARS - Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K. Multimedia Isaac Newton Institute for Mathematical Sciences Math Seminars (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Example from over "1,500" Isaac Newton Institute for Mathematical Sciences Math Video Seminars Subject Categories include
Analytic and Geometric Methods in Medical Imaging Video Lectures; Experiments for Processes with Time or Space Dynamics Video Lectures; Optimum Design for Mixed Effects Non-linear and Generalised Linear Models Video Lectures; Inverse Problems in Science and Engineering Video Lectures; etc..."
Example of Collections Subject Categories include
Combinatorics and Statistical Mechanics: 143 Video Lectures; Design and Analysis of Experiments: 244 Video Lectures; Inverse Problems: 136 Video Lectures; etc..." Includes over 1,500 Videos. Example of Fields Institute for Research in Mathematical Sciences Math Video Seminars Subject Categories include
Computational Topology Video Lectures; Sphere Arrangments Video Lectures; Rigidity Video Lectures; Rigidity and Symmetry Video Lectures; Graphs, Maps and Polytopes Video Lectures; Optimization in Finance and Risk Management Video Lectures; etc..." IMA MATH VIDEO LECTURES (QUICKTIME, REAL PLAYER, ETC.) - Institute for Mathematics and its Applications, a NSF Mathematical Sciences Institute and located at the University of Minnesota Multimedia Institute for Mathematics and its Applications Math Video Lectures (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Includes over "500" Institute for Mathematics and its Applications Math Video Lectures in Various Disciplines including
Simulating Our Complex World: Modeling, Computation and Analysis Video Lectures; Complex Fluids and Complex Flows Video Lectures; etc..."
Uncertainty Quantification in Industrial and Energy Applications: Experiences and Challenges Video Lectures; Integral Equation Methods, Fast Algorithms and Applications Video Lectures; etc..." DUKE UNIVERSITY MATH SEMINARS - Department of Mathematics, Trinity College of Arts & Sciences, Duke University Multimedia Duke University Department of Mathematics Math Seminars (Text, Images, Videos/Movies & Audio/Sound). VERY EXTENSIVE. Examples of "Duke University Department of Mathematics Math Seminars Math Video Seminars & Math Videos" include
Geometry Topology Video Lectures; Introduction to F-Theory Video Lectures; Applied Mathematics Video Lectures; etc..." Mathematical Player
Wolfram Demonstrations Project
Computation; Physical Sciences; Systems, Models & Methods; Engineering & Technology; etc..." Mathematical Constants, Functions, Symbols, Pi, etc.
The English Name of a Number includes the
MATHEMATICAL CONSTANTS, FUNCTIONS, FORMULAS, SYMBOLS, ETC.
ONLINE LATEX EQUATION EDITOR - A. Rundquist, Department of Physics, College of Liberal Arts, Hamline University, Saint Paul, Minnesota VERY VERY VERY...EXTENSIVE. Online LaTeX Equation Editor
INTERACTIVE TEX EDITOR (ITE) - AZ: Jim Hefferon's Web Views of the Comprehensive TeX Archive Network, J. Hefferon Multimedia Interactive TeX Editor (Text & Images). VERY VERY EXTENSIVE. Interactive TeX Editor
Mathematical Constants PLOUFFE'S INVERTER - S. Plouffe, Laboratoire de combinatoire et d'informatique mathématique, Université du Québec à Montréal VERY VERY VERY...EXTENSIVE. Available in English & French. Plouffe's Inverter
Mathematical Functions, Formulas, etc. BP-TYPE FORMULA DATABASE - Written by M. Tam with assistance from D. Allingham, D.H. Bailey, J. Borwein and A. Mattingly; Computer Assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, Faculty of Science and Information Technology, University of Newcastle, Callaghan NSW, Australia VERY VERY VERY...EXTENSIVE. BBP-type Formula Database
MATHEMATICAL FUNCTIONS - THE WOLFRAM FUNCTIONS SITE - Wolfram Research, Inc Multimedia "The Wolfram Functions Site" - Mathematical Functions Dictionary (Text & Images). "The Wolfram Functions Site" includes over 300,000 Formulas online & over 10,000 Visualizations including:
Constants; Bessel, Airy, Struve Functions; Integer Functions; Polynomials; Gamma, Beta, Erf; Hypergeometric Functions; Elliptic Integrals; Elliptic Functions, etc..." NIST DIGITAL LIBRARY OF MATHEMATICAL FUNCTIONS - Editors: F.W.J. Olver, D.W. Lozier, R.F. Boisvert & C.W. Clark, Applied and Comutational Mathematics Division, Information Technology Laboratory, National Institute of Standards and Technology (NIST) Multimedia "NIST Digital Library of Mathematical Functions" (Text, Images, etc.). VERY VERY VERY...EXTENSIVE. Examples from over "35" "NIST Digital Library of Mathematical Functions" Chapters include
Error Functions, Dawson’s and Fresnel Integrals; Bessel Functions; Parabolic Cylinder Functions; Legendre and Related Functions; Hypergeometric Function; Jacobian Elliptic Functions; Bernoulli and Euler Polynomials; Functions of Number Theory; Mathieu Functions and Hill’s Equation; Spheroidal Wave Functions; Coulomb Functions; etc..." DYNAMIC DICTIONARY OF MATHEMATICAL FUNCTIONS (DDMF) - Authors: A. Benoit, F. Chyzak, A. Darrasse, S. Gerhold, M. Mezzarobba & B. Salvy; DDMF project hosted and supported by the Microsoft Research – INRIA Joint Centre; Centre de Recherche Commun INRIA-Microsoft Research Parc Orsay Université, France Multimedia "Dynamic Dictionary of Mathematcial Functions (DDMF)" (Text, Images, Calculators, etc.). VERY VERY VERY...EXTENSIVE. "Dynamic Dictionary of Mathematcial Functions (DDMF)"
The Airy function of the first kind Calculator; The inverse secant Calculator; The inverse tangent Calculator; The cosine integral Calculator; The error function Calculator; The imaginary error function Calculator; The inverse hyperbolic cotangentv; The inverse hyperbolic tangent Calculator; The hyperbolic sine Calculator; The dilogarithm Calculator; The hyperbolic sine integral Calculator; etc..." EXPERIMENTAL MATHEMATICAN'S TOOLKIT - D.H. Bailey (CRD, LBL) & J. Borwein (CARMA, University of Newcastle); Hosted by the Computational Research Division (CRD), Berkeley Lab Computing Sciences, LBL Multimedia Experimental Mathematicans's Toolkit (Text & Images). Free but Registration Required. Experimental Mathematicans's Toolkit
Pi CALCULATORS & APPLETS
Pi Searcher
Pi COMPUTER - CALCULATOR - R. Simms, Department of Mathematical Sciences, College of Engineering and Science, Clemsen University VERY EXTENSIVE. Pi Calculator
METHODS OF COMPUTATION Pi - I.K. Rana, Mathematics Resource Center, Department of Mathematics, Indian Institute of Technology, Bombay, India VERY VERY VERY...EXTENSIVE. Methods of Computation of Pi Calculators with Lessons include
Area Method Applet to Calculate Value of Pi Applet; Buffon's Needle Applet to Calculate Value of Pi Applet; Measuring Circle Method Applet to Calculate Value of Pi Applet; Monte Carlo Method to Calculate Value of Pi Applet; Ramanujan Circle Method to Calculate Value of Pi Applet; Ramanujan Digit Method to Calculate Value of Pi Applet; Rob's Method to Calculate Value of Pi Applet..." |
BAYES FACTOR CALCULATOR - J.N. Rouder, Director of Perception and Cognition Lab, Department of Psychological Sciences, College of Arts & Science, University of Missouri, Columbia, Missouri VERY EXTENSIVE. Bayes Factor Calculator includes
MODELS OF MEMORY (JAVA APPLETS) - Ian Neath, Department of Psychology, Memorial University of Newfoundland Multimedia Psychology Models, Models of Memory & Psychology Calculators (Text & Images). VERY VERY VERY...EXTENSIVE. Models of Memory
Brown & Hulme Model
Positional Distinctiveness (Nairne et al., 1997) Positional Distinctiveness Model
Johnson's Distinctiveness Model (Johnson, 1991) Johnson's Distinctiveness Model
SIMPLE: Absolute Identification (Neath, Brown, McCormack, Chater, & Freeman, 2006) Scale Invariant Memory and Perceptual Learning (SIMPLE) Model
Recognition Memory Simulation Recognition Memory Simulation includes
Heuristic Calculator
Mathematical Methods for Engineers
COMPUTATIONAL SCIENCE AND ENGINEERING I (REAL PLAYER) - Gilbert Strang, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Computational Science and Engineering I Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Computational Science and Engineering I Course
Applications to Linear Estimation Video Lecture; Applications to Dynamics Video Lecture; Applications to Boundary Value Problems: Laplace Equation Video Lecture; Delta Function and Green's Function Video Lecture; Initial Value Problems: Wave Equation and Heat Equation Video Lecture; Finite Difference Methods: Stability and Convergence Video Lecture; Spectral Method: Dynamic Equations Video Lecture; etc..." INTERACTIVE EDUCATIONAL MODULES IN SCIENTIFIC COMPUTING (JAVA APPLETS) - M.T. Health, E. VanderZee, J. Schoen, J. Naisbitt & N. Exner, Computational Science and Engineering (CSE) Graduate Option Program, College of Engineering, University of Illinois, Urbana-Champaign Multimedia Scientific Computing: An Introductory Survey Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Scientific Computing" Course Subject Categories & Subcategories include
Quadratic Formula; Infinite Series; etc..."
Gaussian Elimination; Gauss-Jordan Elimination; etc..."
Householder QR Factorization; Gram-Schmidt QR Factorization; etc..."
Jacobi's Method; etc..."
Newton's Method; Secant Method; etc..."
Unconstrained Optimization in Two Dimensions; Constrained Optimization in Two Dimensions; etc..."
Taylor Interpolation; Newton Interpolation; Error Bounds; Piecewise Cubic Interpolation; etc..."
Numerical Differentiation; Richardson Extrapolation; Romberg Integration; etc..."
Runge-Kutta; Extrapolation; Predictor-Corrector; Galerkin; etc..."
Advection Equation; Burgers' Equation; etc..."
Digital Filtering; etc..."
Buffon Needle Problem; Quasi-Random Sequences; etc..." NUMERICAL METHODS IN ENGINEERING - J.J. Westerink, Department of Civil Engineering and Geological Sciences, College of Engineering, University of Notre Dame Multimedia Numerical Methods in Engineering Course - PDF, 250+ Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Numerical Methods in Engineering" Course Lectures include
Lecture 4: Iterative Solutions to Linear Algebraic Equations; Lecture 6: Lagrange Interpolation; Lecture 9: Hermite Interpolating Polynomicals; Lecture 14: Practical Issues in Applying Finite Difference Approximations; Lecture 17: Numberical Integration; Lecture 22: Multi Step Methods; etc..." Graduate Courses, Lectures, etc. FINITE ELEMENTS IN ENGINEERING - J.J. Westerink, Department of Civil Engineering and Geological Sciences, College of Engineering, University of Notre Dame Multimedia Finite Elements in Engineering (Text & Images). VERY VERY VERY...EXTENSIVE. For more information see J.J. Westerink's Home Page or the Department of Civil Engineering and Geological Sciences MATHEMATICAL METHODS FOR ENGINEERS II (REAL PLAYER) - Gilbert Strang, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Mathematical Methods for Engineers II Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Multimedia Mathematical Methods for Engineers II Course
Second-order Wave Equation Video Lecture; Finite Differences for the Heat Equation Video Lecture; Convection-Diffusion/Conservation Laws Video Lecture; Shocks and Fans from Point Source Video Lecture; Level Set Method Video Lecture; Matrices in Difference Equations (1D, 2D, 3D) Video Lecture; Fast Poisson Solver Video Lecture; Weighted Least Squares Video Lecture; Saddle Points/Inf-sup condition Video Lecture; etc..." MATHEMATICAL METHODS OF ENGINEERING ANALYSIS - R.J. Vanderbei & E. Cinlar, Department of Operations Research and Financial Engineering, School of Engineering and Applied Science (SEAS), Princeton Universtiy Multimedia Mathematical Methods of Engineering Analysis Textbook, PDF, 119 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Mathematical Methods of Engineering Analysis" Textbook Chapters include
Metric Spaces; Functions on Metric Spaces; Differential and Integral Equations; Convex Analysis; Measure and Integration; etc..." |
MATHEMATICAL PHYSICS COURSES
Mathematical Physics Course Topics
Linear Algebra; Harmonics, Fourier Series; Complex Representations; Transform Techniques; Spherical Symmetry; etc..." QUANTUM FIELD THEORY COURSES
Examples from over "26" "Quantum Field Theory" Course Video Lectures include
Ward-Takahashi Identity Video; Renormalization Group in Continuum Quantum Field Theory Video; The Pion as a Nambu-Goldstone Boson, and on Solitons in Two-Dimensional Space-Time Video; Solitons, Vortices, and Magnetic Monopoles; etc..." STRING THEORY
String Theory for Undergraduates Course
Nonrelativistic Strings and Lagrangian Mechanics; Area Formula for Spatial Surfaces; Relativistic Strings: Nambu-Goto Action, Equations of Motion and Boundary Conditions; Solution of the Open String Motion in the Light-cone Gaug; Closed Strings; etc..." Mathematica, JavaView, LiveGraphics3D, 3D-XplorMath
Examples of "WebMathematica & LiveGraphics3D in Optics" Subject Categories include
Seidel Aberrations; Fraunhofer Diffraction; Fresnel Diffractions; etc..."
3D-XPLORMATH - VIRTUAL MATH MUSEUM
JAVAVIEW 3D CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Visual Geometry Pages
Surfaces Calculator; Curves on Surfaces Calculator; Minimal Surfaces Calculator; CMC Surfaces Calculator; Curvature Properties Calculator; Harmonic Maps Calculator; Type a Curve Calculator
Mathematics of Plant Patern Formation
Phyllotaxis
Cylinder Lattices Applet
Spiral Lattices Applet Spiral Lattices Applet
Dynamical Model Applet (Centric Representation) Dynamical Model Applet
Matrix
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