MARTINDALE'S
CALCULATORS ON-LINE CENTER MATHEMATICS CENTER: I-M (Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.) |
BoofCV
Feature Applets; Geometric Applets..."
Image Feature Intensity Applets; Detected Image Features Applets; Associating Image Features Applets; Image Transforms Applets; Camera Calibration Applets; 3D Computer Vision Applets, etc..." 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..." |
KNOTS COURSES, TEXTBOOKS, LECTURES, LESSONS, ETC. 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
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..." 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
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..." |
Vector Land
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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 - a joint project of Gabriele Nebe, Lehrstuhl D für Mathematik, RWTH Aachen University, & Neil Sloane; Hosted by: Lehrstuhl D für Mathematik, RWTH Aachen University, Aachen, Deutschland (Germany) 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 "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---Alternative Version
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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
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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..." UNIVERSAL ALGEBRA COURSES, TEXTBOOKS, CALCULATORS, 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 |
Mathematical Imagery Categories include
Hybrid 3D Fractals Gallery
4D Polychora and Hyperbolic Space Gallery; True 3D Limit Sets of Kleinian Groups Gallery; etc..." MATHEMATICAL IMAGERY - American Mathematical Society Multimedia Mathematical Imagery Database (Text, Images, Videos/Movies & Audio/Sound). VERY VERY EXTENSIVE. Mathematical Imagery Database
MATH ANIMATIONS & SIMULATIONS
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
NUMBERPHILE - VIDEOS ABOUT NUMBERS AND STUFF - Numberphile's Team & B. Haran (Video Journalist & Film-Maker) Multimedia Numberphile - Videos about Numbers and Stuff (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. For more information see Numberphile's Team or Brady Haran's Home Page 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.
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 Functions Calculators, Formulas, etc. KEISAN'S SPECIAL FUNCTIONS CALCULATOR - Casio Computer Company VERY VERY VERY...EXTENSIVE. Examples of "Keisan's Special Functions Calculator" Sections include
Beta Function Calculators; Zeta Function Calculators; Bassel Function Calculators; Spherical Bessel Function Calculators; Airy Function Calculators; Bernoulli Number Calculators; Fibonacci Sequence Calculators; Pochhammer Function Calculators; Elliptic Function Calculators; Hypergeometric Function Calculators; 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..." Pi CALCULATORS & APPLETS
Pi Searcher
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
Guessing Model (Neath & Brown, 2005) Guessing Model
Johnson's Distinctiveness Model (Johnson, 1991) Johnson's Distinctiveness Model
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) - 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 (Fulton Watson Copp Chair Emeritus), Department of Computer Science, College of Engineering University of Illinois, Urbana-Champaign, Illinois Multimedia Scientific Computing: An Introductory Survey Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Scientific Computing" Course Subject Categories & Subcategories include
Selectable-Precision Calculator; 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..." Graduate Courses, Lectures, etc. 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
Includes
over "30" "Quantum Field Theory (524)" Course Video Lectures..." 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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Mathematics Center Calculators On-Line Center ~ Home Page |