(Calculators, Applets, Spreadsheets, and where Applicable includes: Courses, Manuals, Handbooks, Simulations, Animations, Videos, etc.) 
NUMBER THEORY, ALGEBRAIC NUMBER THEORY, ANALYTIC NUMBER THEORY,
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Undergraduate Number Theory Courses, Textbooks, Lectures, etc.
Examples of “Elementary Number Theory” Course Lectures include
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Examples of “Elementary Number Theory” Textbook Chapters & Subchapters include
For more information see Graduate Algebraic Number Theory Courses, Textbooks, Lectures, etc.
Examples of Graduate “Algebraic Number Theory” Course Chapters include
For more information see
Algebraic Number Theory
Examples of Graduate “Algebraic Number Theory” Course Chapters include
For more information see Graduate Analytic Number Theory Courses, Textbooks, Lectures, etc.
Examples of “Introduction to Analytic Number Theory” Course Chapters include
For more information see Graduate Topics in Number Theory: Iwasawa Theory Courses, Textbooks, Lectures, etc.
Click on “Introduction to Iwasawa Theory”. Examples of “Introduction to Iwasawa Theory” Course (PDF, 102 Pages) Chapters include
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For more information see
NUMBER THEORY CALCULATORS & APPLETS
KANT/KASH: Computational Algebraic Number Theory
KANT/KASH: Computational Algebraic Number Theory includes Calculations for
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SAGE
MAGMA Computational Algebra System Calculator is a
MAGMA Computational Algebra System includes Calculations for
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Big Number Scientific Calculator is a
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Complex Number Calculator:
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Gaussian Primes Calculator
Factorization using the Elliptic Curve Method Calculator
Sum of Squares Calculator
Number Theory Calculator Subject Categories include:
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Chapter 5: Solving Linear Congruences Calculators include:
Chapter 8: Multiplicative Orders Calculators include:
Chapter 12: Representation Problems Calculators include:
Number Theory Calculators include:
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NUMERICAL ANALYSIS COURSES, TEXTBOOKS, LECTURES, ETC. Undergraduate Numberical Analysis Courses
Examples of “Numerical Analysis” Course Chapters include
For more information see NUMERICAL METHODS COURSES & TEXTBOOKS Graduate Numerical Methods Courses
Introduction to Numerical Methods
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Examples of “Numerical Methods for Partial Differential Equations” Lecture include
For more information see NUMERICAL ANALYSIS CALCULATORS & APPLETS
Examples of Java Programs for Numberical Analysis include
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Operations Research & Logistics
FOR MORE OPERATIONS RESEARCH CALCULATORS & APPLETS SEE Operations Research Undergraduate Courses, Textbooks, Lectures, etc.
Examples of “Decision Science, Management Science & Operations Research” Course Chapters include
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Practical Optimization: A Gentle Introduction
Examples of “Practical Optimization: A Gentle Introduction” Course Chapters include
Examples of “Algorithm Animations” Subject Categories include
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Examples of “Advanced Operations Research Techniques” Course Lectures include
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Examples from over “25” “Computation in Operations Research” Course Lectures include
For more information see Operations Research Graduate Courses, Textbooks, Lectures, etc.
Optimization Methods in Management Science
For more information see the Linear Programming Graduate Courses, Textbooks, Lectures, etc.
Examples of “Linear Programming: Foundations and Extension” Course Lectures include
For more information see Nonlinear Programming Graduate Courses, Textbooks, Lectures, etc.
Nonlinear Programming Course
Examples of “Nonlinear Programming” Course Video Lectures include
Examples of “Nonlinear Programming” Course Lectures include
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PMEDIAN CALCULATORS & APPLETS PMedian Solver
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xSortLab Applet
For more information see TRAVELING SALESMAN CALCULATORS & APPLETS Traveling Salesman Probem – Approximation Algorithms
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Traveling Salesman Calculator
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PARAMETRIC EQUATIONS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Parametric Spline Curves
For more information see Parametric Equations Applet
For more information see PENDULUM CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Examples of “Pendulum” Lectures include
Oscillations and Resonances
Nonlinear Dynamics
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Pendulum Calculator explores
For more information see FINITE DIMENSIONAL MECHANICAL SYSTEMS CALCULATORS & APPLETS
Lagrange Calculator
Other Pendulum Calculators & Applets include:
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POISSON CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
FOR RELATED POISSON CALCULATORS & APPLETS SEE
The Poisson process
Examples of Poisson Lessons & Calculators include
Poisson Calculators include:
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Poisson Calculator
For more information see PRIME NUMBER LESSONS WITH CALCULATORS & APPLETS
PRIME NUMBER CALCULATORS & APPLETS
Factorization using the Elliptic Curve Method Calculator
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Prime Curios
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Prime Numbers Calculator
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Prime Number Calculator
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Prime Machine Calculator
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The Nth Prime Page Calculator
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Also includes:
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RELATED CENTERS FOR MORE ADVANCED MATHEMATICAL FINANCE, BUSINESS, MANAGEMENT, CORPORATE FINANCE, ETC. COURSES, CALCULATORS, SPREADSHEETS, ETC. SEE THE QUANTITATIVE FINANCE COURSES
Examples of “Term Structure Models” Course Chapters include
Term Structure Model Spreadsheets include:
For more information see QUANTITATIVE FINANCE COURSES, TEXTBOOKS, LECTURES, LESSONS, ETC.
Examples of “Options” Lessons include
For more information see QUANTITATIVE FINANCE CALCULATORS, APPLETS & SPREADSHEETS (XLS)
ASX Calculators & Tools
Examples from over “20” Calculators & Tools include
SFE Calculators
Bond Calculators; Warrants Calculator; etc. For more information see
Examples from over “10” Options Pricing & Probability Calculators include:
Hoadley Derivatives Addin for Excel
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Trinomial Tree Option Calculator INPUT Values include:
BlackScholes/Binomial Convergence Analysis Calculator INPUT Values include:
Trading Tools include
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Click on Tools & Resources and then Click on Options Calculator or Covered Call Calculator For more information see

RANDOM NUMBER CALCULATORS, APPLETS, ANIMATIONS, SIMULATIONS, ETC. ANU Quantum Random Number Server
For more information see the
Random Numbers
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Random Numbers – Random Integers
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Random Number Generator
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Random Numbers Generator
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REAL ANALYSIS COURSES & TEXTBOOKS Undergraduate Real Analysis Courses & Textbooks
Interactive Real Analysis is
Examples of “Real Analysis” Course Chapters include
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Continuity Checker Calculator
Examples of “Advanced Real Analysis” Course Chapters include
For more information see Graduate Real Analysis Courses & Textbooks
Examples From over “13” “Real Analysis: Part I” Course Chapters include
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Examples From over “10” “Real Analysis: Part II” Course Chapters include
For more information see REAL FUNCTIONS COURSES, TEXTBOOKS, ETC.
Click on “Theory of Functions of a Real Variable”. Examples of “Theory of Functions of a Real Variable” Course (Book) Chapters include
For more information see REAL NUMBERS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS INVERSE SYMBOLIC CALCULATORS & APPLETS Inverse Symbolic Calculator Plus
For more information see REPRESENTATION THEORY COURSES, TEXTBOOKS, ETC. Representation Theory Courses, Textbooks, etc.
Examples of “Representation Theory” Course Chapters include
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Introduction to Representation Theory
Examples of “Introduction to Representation Theory” Course Chapters include
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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
For more information see Representations of Finite Groups and Invariant Theory
Lectures on Representations of Finite Groups and Invariant Theory Chapters include
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SANDPILE CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
SINGING DUNES: THE MOTION OF SAND GRAINS
The Song of the Dunes as a SelfOrganized Instrument
For more information see SOAP FILM CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Soap Film Interferenct Thickness Calculator
For more information see SOAP FILM CALCULATORS & APPLETS
Deformation Retract Soap Film Calculator
For more information see SOAP FILM CALCULATORS & APPLETS
Soap Film Cones
For more information see SOAP FILM CALCULATORS & APPLETS
Soap Films on Knots
For more information see SPHERICAL HARMONICS COURSES, LECTURES, TECHNICAL REPORTS, ETC. Visual Effects Industry (VFX Industry), Rendering & Computer Graphics
Importance Sampling Spherical Harmonics
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The Science of Spherical Harmonics at Weta Digital
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SPHERICAL HARMONICS CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Particle on a Sphere – Spherical Harmonics Applet
For more information see Examples of “Spherical Harmonics Y_{LM} Explorer” Input Values include
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SPLINES CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS
Cubic Spline Interpolation Utility
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Explicit Spline Curves Calculators include:
BSpline Curves Calculators include:

STATISTICAL MECHANICS COURSES, LECTURES & TEXTBOOKS Statistical Mechanics Textbooks
Click on PDF. Statistical Mechanics: Entropy, Order Parameters, and Complexity
Examples of “Statistical Mechanics: Entropy, Order Parameters, and Complexity” Textbook Chapters include
For more information see Statistical Mechanics Courses & Lectures
Introduction to Statistical Mechanics
Examples of “Introduction to Statistical Mechanics” Lectures include
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Examples of “Thermodynamics and Statistical Mechanics” Course Chapters include
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Examples of “Advanced Statistical Mechanics” Course Lectures include
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Examples from over “18” “Advanced Statistical Mechanics – Statistical Mechanics II” Course Lectures include
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STOCHASTIC PROCESSES RELATED CENTERS FOR STOCHASTIC PROCESSES RELATED COURSES, CALCULATORS, ETC. SEE THE STOCHASTIC PROCESSES COURSES, TEXTBOOKS, ETC.
Examples of “Stochastic Processes” Course (PDF, 131 Pages) Chapters include
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Examples of “Almost None of the Theory of Stochastic Processes” Course Sections include
For more information see LARGE DEVIATIONS COURSES, TEXTBOOKS, ETC.
Examples of “Large Deviations” Course Chapters include
For more information see SUDOKU CALCULATORS & APPLETS
Sudoku Hints
INVERSE SYMBOLIC CALCULATORS & APPLETS Inverse Symbolic Calculator Plus
For more information see GENERAL RELATIVITY, DIFFERENTIAL GEOMETRY, ETC. COURSES, TEXTBOOKS, ETC.
Relativity Lectures (Einstein Light) include
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Examples of “General Relativity” Course Chapters include
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Examples of “Introduction to Differential Geometry and General Relativity” Course Chapters include
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Examples of “Differential Geometry – Volume I: Curves and Surfaces” Course Lectures include
Examples of “Differential Geometry – Volume II: Manifolds” Course Lectures include
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Examples of “Differential Geometry” Course Parts & Sections include
Part II (PDF, 77 Pages)
Part III (PDF, 72 Pages)
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Geometry of Manifolds Course
Examples from over “22” “Geometry of Manifolds” Course Lectures include
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Geometry of Manifolds Course is
Examples of “Geometry of Manifolds” Graduate Course Lectures include
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Click on “SemiRiemann Geometry and General Relativity”. Examples of “SemiRiemann Geometry and General Relativity” Course (Book) Chapters include
For more information see DIFFERENTIAL GEOMETRY CALCULATIONS
GRTensorII
Demonstrations of GRTensorII currently available are in the areas of:
For more information see RELATIVITY CALCULATORS, APPLETS, ANIMATIONS & SIMULATIONS Relativity Calculator
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Relativity Calculator Options include:
For more information see RELATIVISTIC ACCELERATION CALCULATORS & APPLETS
Constant ProperAcceleration Calculator
For more information see GENERAL RELATIVITY COURSES, CALCULATORS & APPLETS
Special Relativity Calcaultor
Special Relativity Calculator Options include:
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