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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..."
Digital Image Processing Calculator
IMAGE LINE PROFILES - Wolfram Research Inc. Image Line Profiles Calculator
Integers & Integer Sequences
ENCYCLOPEDIA OF INTEGER SEQUENCES SLOANE'S ON-LINE ENCYCLOPEDIA OF INTEGER SEQUENCES - N.J.A. Sloane, AT&T Shannon Lab, AT&T Labs, AT&T 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
LARGE INTEGER CALCULATOR - U. Sondermann VERY VERY EXTENSIVE. Integer Calculator
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
JAVA-INTERVAL CALCULATOR - A. Pereira & E. Alicea, Computer Architecture & Arithmetic Research (CAAR), Lehigh University VERY VERY EXTENSIVE. Interval Calculator
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..." INTERVAL ARITHMETIC CONSTRAINT SOLVER - T.J. Hickey, Department of Computer Science, Brandeis University VERY VERY EXTENSIVE. For more information see Timothy J. Hickey's Home Page or the Department of Computer Science |
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 VERY VERY VERY...EXTENSIVE. The KnotPlot Site
KNOT CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS HYPERBOLIC KNOT CENSUS: 3D INTERACTIVE VIEWER (JAVA APPLETS) - - R.G. Scharein 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 - 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..." SPECTRAL SEQUENCES IN ALGEBRAIC TOPOLOGY - A. Hatcher, Department of Mathematics, Cornell Universitys 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
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
SURFACES CALCULATOR (JAVA APPLET) - I. Nikolov, Department of Mathematics, Northeastern University VERY EXTENSIVE. Surfaces Calculator
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, 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
THE GENERALISED LAMBDA DISTRIBUTION (JAVA APPLET) - R. King, Faculty of Environmental Sciences, Griffith University, Australia Generalised Lambda Distribution 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
Examples of 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 AND INTEGRATION COURSES, TEXTBOOKS & LECTURES
Examples of Measure Theory and Integration Course Lectures include
Integration; Product Spaces; Diļ¬erentiation Theory; etc..." 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..." Level Set Methods
Fast Marching Methods and Level Set Methods
"...Level Set Method: An Act of Violence..."
Soap Bubbles; Medical Scans; Rising Bubble; Microchip Manufacturing; etc..."
Limits of Mathematics & Information Theory
Available in English & Japanese. Information Theory and the Limits of Formal Reasoning Course
LIMITS OF MATHEMATICS CALCULATORS & APPLETS
LISP interpreter for The Limits of Mathematics, The Unknowable, Exploring Randomness Calculator
INFORMATION THEORY CALCULATORS & APPLETS
Shannon's Experiment to Calculate the Entropy of English
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A GENTLE INTRODUCTION PRACTICAL OPTIMIZATION - J.W. Chinneck, Department of Systems & Computer Engineering, Carleton University, Canada Multimedia Practical Optimization Course (Text, Images & Animations). VERY VERY VERY...EXTENSIVE. Practical Optimization
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, Undergraduate Lectures, Graduate Lectures, Exercises, etc. (Text, Images & Applets). VERY VERY VERY...EXTENSIVE. Examples of Linear Programming Course Lectures include
Degeneracy; Efficiency; Duality; Self-Dual Simplex Method; Parametric Simplex Method; etc..."
Convex Analysis; Network Flows-Theory; 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
DISTRIBUTED ALOGRITHMS CALCULATORS & APPLETS
Distributed Alogrithms Calculators
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
NONLINEAR EQUATIONS CALCULATOR - 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 & S.R. Costenoble, 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 & S.R. Costenoble, Department of Mathematics, Hofstra University VERY EXTENSIVE. Simplex Method Calculator allows you to
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Discrete Logarithm Calculator
LOGARITHMIC AND TRIGONMETRIC 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 & Abstract Mathematics
GATEWAY TO LOGIC (JAVA APPLETS) - C. Gottschall, Wien, Austria VERY VERY VERY...EXTENSIVE. Gateway to Logic is
Server-side Processing Calculator operates
Client-side Processing Calculator Client-side Processing Calculator
Lemmon-style Proof Builder Lemmon-style Proof Builder
Proof Checker Proof Checker
Examples from over "10" Logic Calculators include
Syllogism Calculator; Truth Functions Calculator; Truth Tables; Proof Checker; Modus Ponens; Modus Tolens; Disjunctive Syllogism Calculator; Constructive Dilemma Calculator; etc..." INTRODUCTION & INTERMEDIATE ABSTRACT MATHEMATICS APPLETS
Metamath Solitaire Calculator
Metamath Proof Explorer Metamath Proof Explorer
Hilbert Space Explorer Hilbert Space Explorer
INTERMEDIATE & ADVANCE LOGIC & ABSTRACT ALGEBRA APPLETS
Logic Tools include:
Simple World Evaluator Calculator; Frog World Evaluator Calculator; John Halleck's Logic Calculator; etc..."
Son of Birdbrain is
Lattice Theory; Boolean Algebras; The Robbings Problem; Combinatory Logic; Equivalential Calculus..." QUANTUM LOGIC CALCULATORS & APPLETS
Quantum Logic
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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 - NSF Mathematical Sciences Institutes Multidisciplinary Math Workshops
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 Math Video Lectures (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Includes over "500" Math Video Lectures in Various Disciplines including:
Mathematics of Proteins Lecture Videos; Mathematics of DNA Structure, Function, and Interactions Lecture Videos; Mathematics of Nucleic Acids Lecture Videos; Non-Linear Computational Geometry Lecture Videos; Optimization and Control Lecture Videos; Algebraic Algorithms in Optimization Lecture Videos; Algebraic Geometric Methods in Engineering Lecture Videos; The Mathematics and Art of Film Editing and Restoration Lecture Videos; etc..." MSRI: VMATH, THE NEXT GENERATION FOR MATH LECTURES: MATHEMATICS VIDEO LECTURES (QUICKTIME) - Mathematical Sciences Research Institute (MSRI), a NSF Mathematical Sciences Institute and located at Berkeley, CA Multimedia Math Video Lectures (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Includes over "1,000" Math Video Lectures in Various Disciplines including:
Representation Theory of Finite Groups Lecture Videos; Lie Theory Lecture Videos; Combinatorial Representation Theory Lecture Videos; Homological Methods in Representation Theory Lecture Videos; Exterior Differential Systems and the Method of Equivalence Lecture Videos; Contact structures, dynamics and the Seiberg-Witten equations in dimension 3 Lecture Videos; Continuous Optimization and Applications Lecture Videos; Deformation Theory and Moduli in Algebraic Geometry Lecture Videos; Introduction to Teichmuller Theory and Kleinian Groups Lecture Videos; etc..." Mathematical Player
Free but Registration Required. 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.
LATEX EQUATION EDITOR - Sitmo LaTeX Equation 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 "
CONSTANTS - TCAEP.co.uk, J. Stott VERY VERY EXTENSIVE. Mathematical Constants includes:
Mathematical Formulas MATHEMATICAL FUNCTIONS: THE WOLFRAM FUNCTIONS SITE - Wolfram Research, Inc Multimedia Mathematical Functions Dictionary (Text & Images). VERY VERY VERY...EXTENSIVE. Mathematical Functions 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..." Mathematical Symbols SYMBOLS - TCAEP.co.uk, J. Stott Multimedia Symbols Glossary (Text & Images). VERY VERY EXTENSIVE. Symbols Glossary includes:
Pi CALCULATORS & APPLETS
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
LNSC CASCADE CORRELATION SIMULATOR APPLET - F. Dandurand, F. Rivest, M. Stolle & T. Shultz, Laboratory for Natural and Simulated Cognition, McGill University, Canada Cascade-correlation Simulator is
MATHEMATICAL COGNITIVE TOOLS (JAVA APPLETS) - J. Morey, Cognitive Engineering Lab, Department of Computer Science, University of Western Ontario, London, Ontario, Canada VERY VERY EXTENSIVE. Mathematical Cognitive Simulations include:
Polyvise; 3D Lattice Viewer; TileLand; PolygonRnD..."
3DLattice Viewer is
Polyvise Polyvise is
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 ENGINEERS I (REAL PLAYER) - Gilbert Strang, Department of Mathematics & the MIT OpenCourseWare, MIT Multimedia Computational Science and Engineers I Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. Computational Science and Engineers 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 Subject Categories 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. 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..." METHODS OF MATHEMATICAL PHYSICS I - M. Trodden, Department of Physics, Syracuse University Multimedia Methods of Mathematical Physics Course (Text & Images). VERY VERY EXTENSIVE. Examples of Methods of Mathematical Physics I Course Lectures include
Exact and Approximate Evaluation of Sums and Integral; Solution of Ordinary Differential Equations; Transform Calculus; Sturm-Liouville Theory; etc..." QUANTUM FIELD THEORY COURSES
Geometry and Quantum Field Theory Course is
The Steepest Descent and Stationary Phase Formulas; Feynman Calculus; The Euler Characteristic of the Moduli Space of Curves; Matrix Integrals and Counting Planar Diagrams; Quantum Mechanics; Operator Approach to Quantum Mechanics; Quantum Mechanics for Fermions; etc..." QUANTUM FIELD THEORY I - J. Collins, Department of Physics, Pennsylvania State University Multimedia Quantum Field Theory I Course (Text & Images). VERY VERY EXTENSIVE. Examples of Quantum Field Theory I Course Lectures include
Quantization with First-order Lagrangians; Gell-Mann-Low Formula; Wick's Theorem; Perturbation Theory; 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
WebMathematica & LiveGraphics3D in Optics Subject Categories include:
Seidel Aberrations; Fraunhofer Diffraction; Fresnel Diffractions; etc..."
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
Maximum Entropy
MOMENT+ OUTPUT - Centre for Experimental & Constructive Mathematics, Simon Fraser University, British, Columbia, Canada VERY VERY EXTENSIVE. MomEnt+ Output
"...allows one to reconstruct any given number of moments of a user supplied input function. There are a number of types of entropy to chose from. Uniform or Gaussian noise can be added to the recontruction problem and Newton, Conjugate Gradient or Barzilai-Borwein numerical methods can be selected for the computations..." |
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Mathematics Center Calculators On-Line Center ~ Home Page |