MARTINDALE'S
CALCULATORS ONLINE CENTER MATHEMATICS CENTER: NZ (Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.) 
IWASAWA THEORY, pADIC DIFFERENTIAL EQUATIONS, ETC. COURSES, TEXTBOOKS, LECTURES, ETC.
ELEMENTARY NUMBER THEORY  B. Ikenaga, Department of Mathematics, School of Science and Mathematics, Millersiville University, Millersville, PA Multimedia Elementary Number Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Elementary Number Theory" Course Lectures include
Divisibility and the Division Algorithm; The Extended Euclidean Algorithm; Elementary Factoring Methods; Fermat Factorization; Congruences and Modular Arithmetic; The Chinese Remainder Theorem; Wilson's Theorem and Fermat's Theorem; Euler's Theorem; the Euler phi Function; Perfect Numbers and Mersenne primes; Quadratic Residues; etc..." ELEMENTARY NUMBER THEORY  W. Stein, Department of Mathematics, University of Washington Multimedia Elementary Number Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Elementary Number Theory" Course Chapters include
The Ring of Integers Modulo n; PublicKey Cryptography; Quadratic Reciprocity; etc..." ELEMENTARY NUMBER THEORY  Jim Hefferon; Department of Mathematics, Saint Michael's College, Colchester, Vermont Multimedia Elementary Number Theory  PDF, 82 Pages (Text & Images). VERY VERY EXTENSIVE. Examples of "Elementary Number Theory" Textbook Chapters & Subchapters include
Bezout’s Lemma; The Fundamental Theorem; Distribution of Primes; Congruence; Residue Classes; etc..." Graduate Algebraic Number Theory Courses, Textbooks, Lectures, etc. ALGEBRAIC NUMBER THEORY  R.B. Ash (Emeritus), Department of Mathematics, University of Illinois, Urbana, Illinois Multimedia Algebraic Number Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of Graduate "Algebraic Number Theory" Course Chapters include
Dedekind Domains; Factoring of Prime Ideals in Extensions; The Ideal Class Group; The Dirichlet Unit Theorem; Cyclotomic Extensions; Factoring of Prime Ideals in Galois Extensions; Local Fields..." ALGEBRAIC NUMBER THEORY  J.S. Milne, Professor Emeritus, Department of Mathematics, College of Literature, Science & Arts, University of Michigan Multimedia Algebraic Number Theory  PDF, 163 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Algebraic Number Theory
Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Global Fields; etc..." Graduate Analytic Number Theory Courses, Textbooks, Lectures, etc. ANALYTIC NUMBER THEORY  K.S. Kedlaya, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Analytic Number Theory (Text & Images). VERY VERY VERY...EXTENSIVE. Analytic Number Theory
Primes in arithmetic progressions; The functional equation for the Riemann zeta function; von Mangoldt's formula; Revisiting the sieve of Eratosthenes; The Selberg sieve; Introduction to large sieve inequalities; The BombieriVinogradov theorem (proof); etc..." INTRODUCTION TO ANALYTIC NUMBER THEORY (MATH 531)  A.J. Hildebrand, Department of Mathematics, University of Illinois, UrbanaChampaign, Illinois Multimedia Introduction to Analytic Number Theory Course  PDF, 197 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Introduction to Analytic Number Theory" Course Chapters include
Arithmetic functions I: Elementary theory; Arithmetic functions II: Asymptotic estimates; Arithmetic functions III: Dirichlet series and Euler products; Distribution of primes II: Proof of the Prime Number Theorem; Primes in arithmetic progressions: Dirichlet's Theorem; etc..." Graduate Topics in Number Theory: Iwasawa Theory Courses, Textbooks, Lectures, etc. INTRODUCTION TO IWASAWA THEORY  J.L. Brown, Department of Mathematical Sciences, College of Engineering and Science, Clemson University Multimedia Introduction to Iwasawa Theory Course (Text & Images). Click on "Introduction to Iwasawa Theory". Examples of "Introduction to Iwasawa Theory" Course (PDF, 102 Pages) Chapters include
Some Results on the Sizes of Class Groups; Zp extensions; The Iwasawa Main Conjecture; etc..." NUMBER THEORY CALCULATORS & APPLETS
KANT/KASH: Computational Algebraic Number Theory
Ideals in number fields; Relative extensions of number fields; Computations in class field theory; Galois groups; Lattices; Diophantine equations; Algebraic function fields over finite fields, Q or number fields; etc..." SAGE & SAGE NOTEBOOK  Sage VERY VERY VERY...EXTENSIVE. SAGE
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..." BIG NUMBER SCIENTIFIC CALCULATOR  D.A. Alpern, Buenos Aires, Argentina VERY VERY VERY...EXTENSIVE. Big Number Scientific Calculator is a
COMPLEX NUMBER CALCULATOR  D.A. Alpern, Buenos Aires, Argentina VERY VERY VERY...EXTENSIVE. Complex Number Calculator:
Gaussian Primes Calculator
Factorization using the Elliptic Curve Method Calculator Factorization using the Elliptic Curve Method Calculator
Sum of Squares Calculator Sum of Squares Calculator
Number Theory Calculator Subject Categories include:
The Euclidean Algorithm and Linear Diophantine Equations Calculators; Congruences Calculators; Applications of Congruences Calculators; Solving Linear Congruences Calculators; Primes of Special Forms Calculators; Chinese Remainder Theorem Calculators; Multiplicative Orders Calculators; The Euler phifunction Calculators; Primitive Roots Calculators; Quadratic Congruences Calculators; Representation Problems Calculators; Continued Fractions Calculators; etc..."
Chapter 1: Divisibility and Factorization Calculators include:
Divisors and Factorization Calculator; GCDs and Factorization Calculator; The Division Algorithm Calculator; etc..." Chapter 5: Solving Linear Congruences Calculators Chapter 5: Solving Linear Congruences Calculators include:
Multiplicative Inverses Calculator; Linear Congruence Equations Calculator; Cryptanalysis Calculator; etc..." Chapter 8: Multiplicative Orders Calculators Chapter 8: Multiplicative Orders Calculators include:
Fermat and Euler Calculator; etc..." Chapter 12: Representation Problems Calculators Chapter 12: Representation Problems Calculators include:
Pythagorean Triples Calculator; Sums of Many Squares Calculator; etc..." Number Theory Calculators include:
The Euler Totient Function Calculator; The Carmichael Function Calculator; The Graph of the Riemann zeta function Calculator; Rieman Hypothesis Calculator; etc..." 
NUMERICAL ANALYSIS  P. Olver, School of Mathematics, College of Science & Engineering, University of Minnesota Multimedia Numerical Analysis Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Numerical Analysis" Course Chapters include
Review of Matrix Algebra; Gaussian Elimination; Inner Products and Norms; Eigenvalues and Singular Values; Iterative Methods for Linear Systems; Numerical Computation of Eigenvalues; Numerical Solution of Algebraic Systems; Numerical Solution of Ordinary Differential Equations; Numerical Solution of the Heat and Wave Equations; etc..." Mathematics of Wavelets INTRODUCTION TO THE MATHEMATICS OF WAVELETS  W. Miller, Program in Applied, Computational & Industrial Mathematics and the Institute for Mathematics and its Applications, School of Mathematics, University of Minnesota Multimedia Introduction to the Mathematics of Wavelets Course  PDF, 294 Pages (Text & Images). Click on "Lecture Notes and Supplementary Notes for the Course". Examples of "Introduction to the Mathematics of Wavelets" Course Chapters include
Fourier Series; The Fourier Transform; Discrete Fourier Transform; Linear Filters; Multiresolution Analysis; Wavelet Theory; The Windowed Fourier transform and the Wavelet Transform; etc..."
INTRODUCTION TO NUMERICAL METHODS  S.G. Johnson, Applied Mathematics Research, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Introduction to Numerical Methods Course (Text & Images). VERY VERY VERY...EXTENSIVE. Introduction to Numerical Methods
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS  Benjamin Seibold, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Numerical Methods for Partial Differential Equations (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Numerical Methods for Partial Differential Equations" Lecture include
Heat Equation, Transport Equation, Wave Equation; Elliptic Equations and Errors, Stability, Lax Equivalence Theorem; Elliptic Equations and Linear Systems; Ordinary Differential Equations; Advection Equation; Conservation Laws; Systems of IVP, wave equation, leapfrog, staggered grids; etc..."
Examples of Java Programs for Numberical Analysis include
Interpolation Applet; Trapezoid and Simpson's Rules Applet; etc..." 
Operations Research Undergraduate Courses, Textbooks, Lectures, etc. DECISION SCIENCE  MANAGEMENT SCIENCE  OPERATIONS RESEARCH  H. Arsham, Division of Economics, Finance and Management Science, Merrick School of Business, University of Baltimore Multimedia Decision Science, Management Science & Operations Research Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Decision Science, Management Science & Operations Research" Course Chapters include
Integer Optimization and the Network Models; Tools for LP Modeling Validation; Time Series Analysis and Forecasting; Linear Algebra and LP Connections; Construction of the Sensitivity Region for LP Models; Zero Sagas in Four Dimensions; Systems Simulation; etc..." 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..." ADVANCED OPERATIONS RESEARCH TECHNIQUES (IE 316)  T. Ralphs, Computational Optimization Research at Lehigh, Department of Industrial & Systems Engineering, P.C. Rossin College of Engineering and Applied Science, Lehigh University Multimedia Advanced Operations Research Techniques Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Advanced Operations Research Techniques" Course Lectures include
The Tableau Method; Modeling Languages; The Dual Simplex Method; The Recession Cone, Extreme Rays, and Representation of Polyhedra; Global Sensitivity Analysis; Introduction to Network Flow Problems; The Negative Cost Cycle Algorithm and Maximum Flows; Assignments, Shortest Paths, and Minimum Spanning Trees; Branch and Bound Methods; etc..." COMPUTATION IN OPERATIONS RESEARCH (IE 495)  T. Ralphs, Computational Optimization Research at Lehigh, Department of Industrial & Systems Engineering, P.C. Rossin College of Engineering and Applied Science, Lehigh University Multimedia Computation in Operations Research Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from over "25" "Computation in Operations Research" Course Lectures include
Analyzing Parallel Algorithms; Communication Protocols; Union Find and Hash Tables; Matroid; Introduction to Numerical Algorithms; Solving Systems of Equations; Scaling, Iterative Improvement, and Sparse Systems; etc..." Operations Research Graduate Courses, Textbooks, Lectures, etc. OPTIMIZATION METHODS IN MANAGEMENT SCIENCE J.B. Orlin, Operations Research Center, Sloan School of Management, & the MIT OpenCourseWare, MIT Multimedia Optimization Methods in Management Science Course (Text & Images). VERY VERY VERY...EXTENSIVE. Optimization Methods in Management Science
Linear Programming Graduate Courses, Textbooks, Lectures, etc. 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; SelfDual Simplex Method; Parametric Simplex Method; etc..." Nonlinear Programming Graduate Courses, Textbooks, Lectures, etc. NONLINEAR PROGRAMMING (REAL PLAYER)  R.M. Freund, Sloan School of Management, & the MIT OpenCourseWare, MIT Multimedia Nonlinear Programming Course (Text, Images, Videos/Movies & Audio/Sound). VERY VERY VERY...EXTENSIVE. 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; InteriorPoint Methods for Linear Optimization; Analysis of Convex Sets; etc..." OPERATIONS RESEARCH CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
JAVA APPLETS ILLUSTRATING ALGORITHMS FOR OPTIMIZATION  R.J. Vanderbei, Department of Operations Research and Financial Engineering, School of Engineering and Applied Science (SEAS), Princeton Universtiy VERY VERY EXTENSIVE. For more information see Robert J. Vanderbei's Home Page or the Department of Operations Research and Financial Engineering TUTOR: OPERATIONS RESEARCH  Author: Moshe Sniedovich, Retired, but still Affiliated with the Department of Mathematics & Statistics, The University of Melbourne, Australia VERY VERY EXTENSIVE. For more information see Moshe Sniedovich Place or the Department of Mathematics & Statistics
Operations Research & Operations Management Applet Categories include:
Forecasting; Inventory; Statistical Process Control..."
PMEDIAN CALCULATORS & APPLETS
PMedian Solver
SORTING CALCULATORS & APPLETS
xSortLab Applet
TRAVELING SALESMAN CALCULATORS & APPLETS
Traveling Salesman Probem  Approximation Algorithms
TRAVELING SALESMAN SOLVER (TSP) (JAVA APPLET)  T. Pederson, Department of Computing Science, Umeå University, Sweden VERY EXTENSIVE. Traveling Salesman Calculator

PARAMETRIC CURVE PLOTTER APPLET  P. Kirby VERY EXTENSIVE. For more information see Vector Land or Paul Kirby's Home Page PARMETRIC EQUATIONS  Asian Technology Conference in Mathematics (ATCM) For more information see Calculus; Manipula Math with Java or Math Education and Technology PARAMETRIC FUNCTION GRAPH  Asian Technology Conference in Mathematics (ATCM) For more information see Calculus; Manipula Math with Java or Math Education and Technology PARAMETRIC SPLINE CURVES  D. Gillies, Department of Computing, Imperial College London, U.K. VERY EXTENSIVE. Parametric Spline Curves
THE PARAMETRIC EQUATIONS APPLET: GRAPHING PARAMETRIC CURVES  R. Miech (Emeritus), Number Theory and Combinatorics, Department of Mathematics, UCLA Parametric Equations Applet
Pendulums
Examples of "Pendulum" Lectures include
The equations of motion of damped and driven pendula; The linearized equations of motion..."
Nonlinear resonance; Parametric resonance..."
Pendulum Calculator explores
FINITE DIMENSIONAL MECHANICAL SYSTEMS CALCULATORS & APPLETS
Lagrange Calculator
Double Spring Applet Spring Pendulum Applet..." 
FOR RELATED POISSON CALCULATORS & APPLETS SEE STATISTICS CALCULATOR CENTER POISSON PROCESS  K. Siegrist & J. York, Department of Mathematical Sciences, University of Alabama Multimedia Poisson Lessons & Calculators (Text & Applets). VERY VERY EXTENSIVE. The Poisson process
The Gamma Distribution; The Poisson Distribution; Splitting a Poisson Process; Bernoulli Trials and the Poisson Process; Higher Dimensional Poisson Processes..."
Poisson Experiment Calculator; TwoType Poisson Experiment Calculator; TwoDimensional Poisson Process Calculator..." THE POISSON CALCULATOR  The Poisson Pit, C. Anesi Poisson Calculator
Prime Numbers
PRIME NUMBER CALCULATORS & APPLETS
Factorization using the Elliptic Curve Method Calculator
PRIME CURIOS!: A PRIMALITY TEST  CALCULATOR  C. Caldwell, Department of Mathematics and Statistics, College of Engineering and Natural Sciences, University of Tennessee, Martin, Tennessee VERY VERY EXTENSIVE. Prime Curios
PRIME NUMBERS, MERSENNE PRIMES, PERFECT NUMBERS, ETC.  L.C. Noll VERY VERY VERY...EXTENSIVE. For more information see Landon Curt Noll's Home Page or isthe.com PRIME NUMBERS  FACTORIS (ENGLISH) OR FACTORIS (FRANÇAIS)  Xiao Gang, Laboratoire J.A. Dieudonné, Université de Nice, Nice, France English & Français. VERY VERY EXTENSIVE. Prime Numbers Calculator
PRIME NUMBER CALCULATOR  A. Schulman, Santa Rosa, CA VERY EXTENSIVE. Prime Number Calculator
THE PRIME MACHINE CALCULATOR (JAVA APPLET)  P. Alfeld, Department of Mathematics, University of Utah VERY VERY EXTENSIVE. Prime Machine Calculator
THE Nth PRIME PAGE (JAVA APPLET)  Author: A. Booker, and hosted by Chris Caldwell's 'The Prime Pages' VERY VERY EXTENSIVE. The Nth Prime Page Calculator

Examples of "Term Structure Models" Course Chapters include
Stochastic Calculus; ShortRate Models; Monte Carlo Methods for ShortRate Models; HeathJarrowMorton Models; Market Models..."
QUANTITATIVE FINANCE COURSES, TEXTBOOKS, LECTURES, LESSONS, ETC.
Examples of "Options" Lessons include
Call option; Cliquet; Covered call; Exotic option; Naked call; Naked put; Straddle; Strike price; etc..." QUANTITATIVE FINANCE CALCULATORS, APPLETS & SPREADSHEETS (XLS)
ASX Calculators & Tools
Covered Call Calculator; Margin Estimator Calculator; etc..."
90 Day Bank Bill Strip Calculator; 30 Day Interbank Cash Rate Strip Calculator..." Warrants Calculator; etc. FOREX CALCULATORS  Oz Forex Foreign Exchange, Australia VERY VERY EXTENSIVE. FOREX Calculators include:
Principal; Start Date; etc...
HOADLEY'S ONLINE OPTIONS PRICING ANALYSIS CALCULATORS  P. Hoadley VERY VERY VERY...EXTENSIVE. Examples from over "10" Options Pricing & Probability Calculators include:
BlackScholes Pricing Analysis Option Calculator Trinomial Tree Graphical Option Calculator; Barrier Option Calculator Using Trinomial Lattice Calculator BlackScholes/Binomial Convergence Analysis Option Calculator Dividend Impact Analysis & American & European Option Pricing Comparison Calculator; Stock Price lognormal Distribution Analysis Calculator; Stock Price Probability Calculator..."
Cox, Ross & Rubinstein: Binomial Tree Option Calculator INPUT Values include:
Days to Expiration; Dividend; etc..." Trinomial Tree Option Calculator Trinomial Tree Option Calculator INPUT Values include:
Days to Expiration; Dividend; etc..." BlackScholes/Binomial Convergence Analysis BlackScholes/Binomial Convergence Analysis Calculator INPUT Values include:
Days to Expiration; Option Type; etc..." Trading Tools include
OPTIONS CALCULATOR & COVERED CALL CALCULATOR  The Options Industry Council VERY VERY VERY...EXTENSIVE. Click on Tools & Resources and then Click on Options Calculator or Covered Call Calculator For more information see The Options Industry Council 
ANU Quantum Random Number Server
HOTBITS: GENUINE RANDOM NUMBERS, GENERATED BY RADIOACTIVE DECAY  J. Walker, Fourmilab, Switzerland VERY VERY VERY...EXTENSIVE. Random Numbers
RANDOM NUMBER (RANDOM INTEGERS) GENERATOR  M. Haahr, Distributed Systems Group, Department of Computer Science, Trinity College, Dublin, Ireland VERY VERY VERY...EXTENSIVE. Random Numbers  Random Integers
Random Number Generator
RANDOM NUMBERS GENERATOR (JAVA APPLET)  Author: J. Beaver & Hosted by K. Pruhs, Department of Computer Science, University of Pittsburgh VERY EXTENSIVE. Random Numbers Generator
Real Analysis
INTERACTIVE REAL ANALYSIS & JAVA TOOLS (JAVA APPLETS)  B.G. Wachsmuth, Department of Mathematics and Computer Science, Seaton Hall University Multimedia Real Analysis Course (Text & Images). VERY VERY VERY...EXTENSIVE. Interactive Real Analysis is
Infinity and Induction; Sequences of Numbers; Series of Numbers; Topology; Continuity and Differentiation; The Intergral; Sequences of Functions; Metric Spaces..."
Sequencer Calculator
Continuity Checker Calculator Continuity Checker Calculator
Examples of "Advanced Real Analysis" Course Chapters include
Distributions; Fourier Transforms; Elliptic Equations; The Prime Number Theorem; Banach Algebras; Operator Algebras and the Spectral Theorem; Ergodic Theory..." Graduate Real Analysis Courses & Textbooks REAL ANALYSIS: PART I  W.G. Faris, Department of Mathematics, University of Arizona Multimedia "Real Analysis: Part I" Course  PDF, 150 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples From over "13" "Real Analysis: Part I" Course Chapters include
Sets; Relations, Functions, Dynamical Systems; Functions, Cardinal Number; Ordered Sets and Completeness; Metric Spaces; Measurable Functions; Integrals and Measures; Fubini’s Theorem; etc..." REAL ANALYSIS: PART II  W.G. Faris, Department of Mathematics, University of Arizona Multimedia "Real Analysis: Part II" Course  PDF, 119 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples From over "10" "Real Analysis: Part II" Course Chapters include
Differentiation; Conditional Expectation; Fourier Series; Topology; Radon Measures; etc..." Real Functions
THEORY OF FUNCTIONS OF A REAL VARIABLE  S. Sternberg, Department of Mathematics, Faculty of Arts and Sciences, Harvard University Multimedia Theory of Functions of a Real Variable Course (Book)  PDF, 393 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Click on "Theory of Functions of a Real Variable". Examples of "Theory of Functions of a Real Variable" Course (Book) Chapters include
Hilbert Spaces and Compact operators; The Fourier Transform; Measure theory; The Lebesgue integral; The Daniell integral; Wiener measure, Brownian motion and white noise; Haar measure; The spectral theorem; Stone’s theorem; etc..." Real Numbers
Inverse Symbolic Calculator Plus
"...The lookup tables include a substantial data set compiled by S. Plouffe both before and during his period as an employee at CECM..." Representation Theory
REPRESENTATION THEORY  C. Teleman, Department of Mathematics, College of Letters & Science, University of California, Berkeley Multimedia Representation Theory Course  PDF, 60 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Representation Theory" Course Chapters include
Representations of a Cyclic Group; Complete Reducibility and Unitarity; Schur’s Lemma; Isotypical Decomposition; The Character of a Representation; The Regular Representation; Integrality in the Group Algebra; The Unitary Group; etc..." INTRODUCTION TO REPRESENTATION THEORY  P. Etingof, Department of Mathematics, & the MIT OpenCourseWare, MIT Multimedia Introduction to Representation Theory Course (Text & Images). VERY VERY VERY...EXTENSIVE. Introduction to Representation Theory
General Results of Representation Theory; Representations of Finite Groups: Basic Results; etc..." REPRESENTATION THEORY  FINITE GROUP REPRESENTATIONS FOR THE PURE MATHEMATICIAN  P. Webb, School of Mathematics, University of Minnesota Multimedia Representation Theory Book  Finite Group Representations for the Pure Mathematician (Text & Imags). VERY VERY VERY...EXTENSIVE. Chapters 1 thru 8  PDF, 105 Pages; Chapters 9 to Appendix  PDF, 82 Pages Examples of "Representation Theory Book  Finite Group Representations for the Pure Mathematician" Chapters include
The structure of algebras for which every module is semisimple; The construction of modules and characters; Pro jective modules for group algebras; Changing the ground ring: splitting ﬁelds and the decomposition map; Changing the ground ring: splitting ﬁelds and the decomposition map; Brauer characters; Indecomposable modules; etc..." Representations of Finite Groups and Invariant Theory REPRESENTATION THEORY: REPRESENTATIONS OF FINITE GROUPS AND INVARIANT THEORY  D.I. Panyushev, Mathematical College, Independent University of Moscow; and the Institute for Information Transmission Problems, oscow, Russia Multimedia Lectures on Representations of Finite Groups and Invariant Theory  PDF, 49 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Lectures on Representations of Finite Groups and Invariant Theory Chapters include
Invariant theory of ﬁnite groups..." 
BAKTANGWIESENFELD (BTW) SANDPILE MODEL (JAVA APPLET)  S. Maslov & A. Zheludev, Physics Department, Brookhaven National Laboratory (BNL) VERY EXTENSIVE. BTW Sandpile Calculator  Sandpile Applet
CELLULAR AUTOMATA SAND PILE MODEL CALCULATORS & APPLETS
Cellular Automata Sand Pile Model  Sandpile Calculator  Sandpile Applet
SINGING DUNES: THE MOTION OF SAND GRAINS
The Song of the Dunes as a SelfOrganized Instrument
Soap Film & Bubbles
SOAP FILM INTERFERENCE THICKNESS CALCULATOR  C.R. Nave, Department of Physics & Astronomy, College of Arts & Sciences, Georgia State University VERY EXTENSIVE. Soap Film Interferenct Thickness Calculator
SOAP FILM CALCULATORS & APPLETS
J.F. ADAMS' DEFORMATION RETRACT (JAVA APPLET)  Author: K.A. Brakke, Department of Mathematical Sciences, Susquehanna University & EGModels, Germany Deformation Retract Soap Film Calculator
SOAP FILM CALCULATORS & APPLETS
SOAP FILM CONES  K. Brakke, Department of Mathematical Sciences, Susquehanna University, Selinsgrove, PA Soap Film Cones
SOAP FILM CALCULATORS & APPLETS
SOAP FILMS ON KNOTS  K. Brakke, Department of Mathematical Sciences, Susquehanna University, Selinsgrove, PA Soap Films on Knots
Spherical Harmonics
A USER'S GUIDE TO SPHERICAL HARMONICS  M.J. Mohlenkamp, Department of Mathematics, College of Arts & Sciences, Ohio University Multimedia A User's Guide to Spherical Harmonics  PDF, 14 Pages (Text & Images). VERY EXTENSIVE. Examples of "A User's Guide to Spherical Harmonics" Chapters include
Understanding the Spherical Harmonics; Computing with Spherical Harmonics; etc..." Visual Effects Industry (VFX Industry), Rendering & Computer Graphics IMPORTANCE SAMPLING SPHERICAL HARMONICS (SH)  W.Jarosz, N.S. Carr & H.W. Jensen, Eurographics, Volume 28 (2009), Number 2, The Eurographics Association and Blackwell Publishing Ltd.; Department of Computer Science, Dartmouth University & Disney Research, Zürich, The Walt Disney Company (Switzerland) GmbH, The Walt Disney Company Multimedia Importance Sampling Spherical Harmonics (Text & Images). VERY VERY EXTENSIVE. Importance Sampling Spherical Harmonics
THE SCIENCE OF SPHERICAL HARMONICS AT WETA DIGITAL  M. Seymour, Weta Digital Ltd., Wellington, New Zealand; Hosted by fxguide.com Multimedia The Science of Spherical Harmonics at Weta Digital (Text & Images). VERY VERY EXTENSIVE. The Science of Spherical Harmonics at Weta Digital
Particle on a Sphere  Spherical Harmonics Applet
SPHERICAL HARMONICS Y_{LM} EXPLORER  Martin Kraus; Department of Architecture, Design and Media Technology, Aalborg University, Denmark; Hosted by the Institut für Visualisierung und Interaktive Systeme (VIS), University of Stuttgar, Germany VERY EXTENSIVE. Examples of "Spherical Harmonics Y_{LM} Explorer" Input Values include
(component) M; R polar resolution; etc..." Splines, Spline Curves & Spline Surfaces
SPLINE SURFACES CALCULATORS & APPLETS  ALL INCLUSIVE CUBIC SPLINE INTERPOLATION UTILITY  AKiTi.ca, David Binner, Vancouver, British Columbia, Canada VERY EXTENSIVE. Cubic Spline Interpolation Utility
SPLINES: AN INTERACTIVE INTRODUCTION TO SPLINES (JAVA APPLETS)  E. Demidov, Department of Semiconductor Physics, Institute for Physics of Microstructures (IPM), Russian Academy of Sciences (RAS), Russia VERY VERY VERY...EXTENSIVE. In English & Russian. For more information see Enotes
Explicit Spline Curves Calculators include:
Quadratic Curve Calculator..." BSpline Curves Calculators BSpline Curves Calculators include:
Free BSpline Calculator; BSpline with Clamped Ends Calculator..." Bézier Surfaces Curve Applets include:
De Boor's Applet; Spline Division Applet; BSpline Rendering Applet; etc..." 
STATISTICAL MECHANICS: ENTROPY, ORDER PARAMETERS, AND COMPLEXITY (PDF)  James P. Sethna, Laboratory of Atomic and Solid State Physics, Department of Physics, Cornell University & Published by Claredon Press, Oxford, 2008 Multimedia Statistical Mechanics: Entropy, Order Parameters, and Complexity Textbook  371 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Click on PDF. Statistical Mechanics: Entropy, Order Parameters, and Complexity
Temperature and equilibrium; Entropy; Free energies; Quantum statistical mechanics; Order parameters, broken symmetry, and topology; Abrupt phase transitions; etc..." Statistical Mechanics Courses & Lectures INTRODUCTION TO STATISTICAL MECHANICS (ME 334)  W. Cai, Mechanics and Computation Group, Department of Mechanical Engineering, School of Engineering, Stanford University Multimedia Introduction to Statistical Mechanics (Text & Images). VERY VERY VERY...EXTENSIVE. Introduction to Statistical Mechanics
Probability; Classical Mechanics; Microcanonical Ensemble; Thermodynamics Entropy; NPT and Grand Canonical Ensembles; Applications to Solids; etc..." THERMODYNAMICS AND STATISTICAL MECHANICS  D. Arovas, Department of Physics, Division of Physical Sciences, University of California, San Diego Multimedia Lecture Notes on Thermodynamics and Statistical Mechanics  PDF, 485 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Thermodynamics and Statistical Mechanics" Course Chapters include
Statistical Ensembles; Noninteracting Quantum Systems; Interacting Systems; Mean Field Theory of Phase Transitions; Nonequilibrium Phenomena; etc..." ADVANCED STATISTICAL MECHANICS (PHYSICS 220)  L. Balents, Department of Physics, University of California, Santa Barbara Multimedia Advanced Statistical Mechanics (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Advanced Statistical Mechanics" Course Lectures include
Critical phenomena. Scaling. Continuum field theory; Monte Carlo; Finish Coldea experiment. Begin frustrated magnets and ice; Spin ice. Spin liquid and correlations; Finish spin ice. Begin order by disorder; Quantum critical points in metals  introduction; Hertz theory. Upper critical dimension; etc..." ADVANCED STATISTICAL MECHANICS  STATISTICAL MECHANICS II  Mark E. Tuckerman, Department of Chemistry and the Courant Institute of Mathematical Sciences, New York University Multimedia Advanced Statistical Mechanics  Statistical Mechanics II Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples from over "18" "Advanced Statistical Mechanics  Statistical Mechanics II" Course Lectures include
Characterizing the structure of liquids; Perturbation theory and the van der Waals equation; Discretized and continuous path integrals; Expansion about the classical path and stationary phase; Calculation of spectra from perturbation theory; etc..." Stochastic Processes, Stochastic Analysis, etc.
Examples of "Stochastic Processes" Course (PDF, 131 Pages) Chapters include
Conditional expectation and Hilbert spaces; Stochastic Processes: general theory; Martingales and stopping times; Markov, Poisson and Jump processes; etc..." ALMOST NONE OF THE THEORY OF STOCHASTIC PROCESSES  C.R. Shalizi & A. Kontorovich, Department of Statistics, Marianna Brown Dietrich College of Humanities and Social Sciences (Dietrich College), Carnegie Mellon University Multimedia Almost None of the Theory of Stochastic Processes Course  PDF, 320 Page (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Almost None of the Theory of Stochastic Processes" Course Sections include
OneParameter Processes in General; Markov Processes; Diffusions and Stochastic Calculus; etc..." STOCHASTIC EVOLUTION EQUATIONS  J.M.A.M. van Neerven, Analysis Group, Applied Mathematics, Faculty Electrical Engineering, Mathematics and Computer Science, Delft University of Technology (TU Delft), The Netherlands Multimedia Stochastic Evolution Equations Course  PDF (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Stochastic Evolution Equations" Course Chapters include
Random Variables in Banach Spaces; Gaussian Random Variables; Stochastic Integration I the Wiener Integral; Linear Equations with Additive Noise I; Conditional Expectations and Martingales; UMDspaces; Applications to Stochastic PDE; etc..." LARGE DEVIATIONS COURSES, TEXTBOOKS, ETC.
Examples of "Large Deviations" Course Chapters include
The Finite Dimensional Case; General Principles; Sample Path Large Deviations; etc..." Sudoku
SUDOKU SOLVER  Department of Computer Science, Daimi, Faculty of Science, University of Aarhus, Denmark Multimedia Sudoku Solver (Text & Images). VERY EXTENSIVE. For more information see Martin Sponholtz's Home Page or the Department of Computer Science, Daimi SUDOKU SOLVER  SudokuWiki, Andrew Stuart Multimedia Sudoku Solver (Text & Images). VERY VERY EXTENSIVE. For more information see Strategy Families or SudokuWiki SUDOKU HINTS  SOLVER AND ONLINE PUZZLES  David J. Nixon Multimedia Sudoku Solver (Text & Images). VERY VERY EXTENSIVE. Sudoku Hints
Symbolic/Numberic & Inverse Symbolic
Tusanga Calculator
INVERSE SYMBOLIC CALCULATORS & APPLETS
Inverse Symbolic Calculator Plus
"...The lookup tables include a substantial data set compiled by S. Plouffe both before and during his period as an employee at CECM..." Tensors & Relativity
Relativity Lectures (Einstein Light) include
Maxwell: Electricity & Magnestism; Einstein: Relativity & Constant c; Time Dilation; E = mc^{2}; Beyond Relativity..." GENERAL RELATIVITY LECTURE NOTES  Matthias Blau, Gravity and String Theory Group, Albert Einstein Center for Fundamental Physics  Institute for Theoretical Physics, Université de Neuchâtel, Switzerland Multimedia General Relativity Course Lecture Notes  PDF  229 Pages (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "General Relativity" Course Chapters include
Tensor Algebra; Physics in a Gravitational Field; The Lie Derivative, Symmetries and Killing Vectors; The Schwarzschild Metric; Particle and Photon Orbits in the Schwarzschild Geometry; Linearised Gravity and Gravitational Waves; KaluzaKlein Theory; etc..." INTRODUCTION TO DIFFERENTIAL GEOMETRY AND GENERAL RELATIVITY  S. Waner (Emeritus), Department of Mathematics, Hofstra University Multimedia Differential Geometry and General Relativity Course (Text & Images). VERY VERY VERY...EXTENSIVE. Examples of "Introduction to Differential Geometry and General Relativity" Course Chapters include
Contravariant and Covariant Vector Fields; Riemannian Manifolds; Covariant Differentiation; Geodesics and Local Inertial Frames; The Riemann Curvature Tensor; The Stress Tensor and the Relativistic StressEnergy Tensor; Three Basic Premises of General Relativity; etc..." 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  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..." 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..." DIFFERENTIAL GEOMETRY CALCULATIONS
GRTensorII
Black Hole Perturbations; The GRJunction Package & Engineering Applications.." RELATIVITY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Relativity Calculator
RELATIVITY APPLET  T. Tao, Analysis Group, Department of Mathematics, Division of Physical Sciences, College of Letters and Science, UCLA VERY VERY EXTENSIVE. Relativity Calculator Options include:
An Inertial Object of Zero Length; A Noninertial Object of Zero Length; A Inertial Object of Nonzero Length; A Light Ray or An Event..." RELATIVISTIC ACCELERATION CALCULATORS & APPLETS
PROPERACCELERATION CALCULATOR CALCULATORS & APPLETS CONSTANT PROPERACCELERATION CALCULATOR  P. Fraundorf, Department of Physics & Astronomy, University of Missouri, St. Louis VERY VERY EXTENSIVE. Constant ProperAcceleration Calculator
GENERAL RELATIVITY COURSES, CALCULATORS & APPLETS
GENERAL RELATIVIEY & SPECIAL RELATIVITY  C.R. Nave, Department of Physics & Astronomy, College of Arts & Sciences, Georgia State University VERY VERY EXTENSIVE. Multimedia General Relativity & Special Relativity Course (Text, Images, Simulations & Calculators). For more information see HyperPhysics; Carl Rod Nave's Home Page or the Department of Physics & Astronomy SPECIAL RELATIVITY (JAVA APPLET)  Physics 1, Department of Physics, California Institute of Technology (CIT) VERY EXTENSIVE. Special Relativity Calcaultor
Experiment 2: Flying Clocks; Experiment 3: A Light Clock; Experiment 4: Moving MichelsonMorley; Experiment 5: Barn & Ladder Paradox; Experiment 6: Car Headlight Experiment;..." 
Mathematics Center Calculators OnLine Center ~ Home Page 