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Mathematics Resources

Miscellaneous

• Desert Vista Mathematics and Sciences Web Reference Pages
• Encyclopedia of Mathematics [European Mathematical Society]
• Encyclopedia of Mathematics [Springer]
• ExploreMath
• Mathematics Archives
• Interactive Mathematics on the Web
• Known Mathematics (Dave Rusin's essays on Mathematical Topics)
• The Mathematics Lair
• Mathematical Sciences Digital Library (MathDL)
• The Math Forum (Swarthmore) ( Math Forum Internet Mathematics Library)
• MathNet (University of Toronto)
• Math Resources on the Internet
• Millenium Prize Problems
• Mudd Math Fun Facts
• Mathematics Presentations (James Taylor)
• MathOverflow
• MathPages
• Mathworld, Eric Weisstein's World of Mathematics (Wolfram) (alt) (ScienceWorld) ( ... and CRC)
• Metamath Proof Explorer
• n-Lab
• PlanetMath
• ProofWiki
• The Wolfram Functions Site
• WWW Interactive Mathematics Server (WIMS)
• Xah Lee's Home Page ( A Visual Dictionary of Special Plane Curves) (Wallpaper Groups) ( Mathematics Graphics Gallery) ( Macintosh Math Programs) ( Mathematica Packages)
• Richard Zucker [fun math links]
  
  
• Art of Problem Solving
• Polymath Projects

History & Culture

• History of Mathematics Archives
• History of Mathematics Homepage
  
  
• Mathematical Problems of David Hilbert
  
  
• Earliest Known Users of Some of the Words of Mathematics
• Earliest Uses of Various Mathematical Symbols
• The Erdös Number Project
• Ethnomathematics
• The Americas (Mathematics and the Liberal Arts)
• Geometry from the Land of the Incas
• Indigenous American Mathematics (Mathematics and the Liberal Arts)
• Indigenous Mathematics of Central and South America (Mathematics and the Liberal Arts)
• Mathematicians of the African Diaspora
• Mathematical Fiction
• Mathematics in the Movies
• MathGuide: History and Biography Links
• Mathematical Quotation Server
• The Number Years (History of Mathematics Games)
• Pi Day
• Princeton Graduate Students' Guide to Generals
• Roman Numerals and Dates
• Women Mathematicians (Biographies)

People & Personalities

• Mathematics Genealogy Project [AMS] (AMS) (alt)
  
  
• Euler Archive
• Gower's Weblog
• The Grothendieck Circle ((A Truncated Manuscript))
• Terry Tao

Online Tools

• Digital Library of Mathematical Functions ( Handbook of Mathematical Functions) (Abramowitz & Stegun) (Abramowitz & Stegun — Google) (pdf) ( Numerical Recipes Version)
• Equation World
• integrals.com [The Integrator]
• Interactive Mathematics on the Web
• TILU (Table of Integrals Lookup) (old)
• Wolfram Functions Site (integrals)
  
  
• A random collection of integral tables appearing on the web:
  1. conway.math.unb.ca/sections/integrals
  2. library.thinkquest.org/16600/reference/calculus.shtml
  3. math.kwangwoon.ac.kr/Tables/integrals/tableof.htm
  4. www-ece2.engr.ucf.edu/~tomwu/course/eel4309/integral/integral.htm
  5. www.chembio.uoguelph.ca/educmat/chm386/INTEGRAL/INTEGRAL.HTM
  6. www.er.monroe.edu/academics/math/tables/tableof.htm
  7. www.hoxie.org/math/integrals/tableof.htm
  8. integrals.wolfram.com
  9. www.math.com/tables/integrals/tableof.htm
  10. www.math.psu.edu/sibley/IntegralTable
  11. www.newebgroup.com/academy/tables/tablints.htm
  12. www.sisweb.com/math/integrals/tableof.htm
  13. www.sosmath.com/tables/tables.html
  14. www.uacch.cc.ar.us/science/tableof.htm
  15. www.usaor.net/users/mustang/math/integrals/tableof.htm
  
  
  
• The Mathematics Retrieval Project
  
  
• Adium TeX Plugin
• MathTran [live TeX]
• Scriblink online whiteboard

Databases & Reference

• Handbook of Mathematical Functions — Abramowitx & Stegun Online (table of contents) (convertit.com) (page 1)
• Digital Library of Mathematical Functions
• Equation World
• factordb
• Gradshteyn & Ryzhik
• Mathematical Sciences Digital Library (MathDL)
• Mathematics Archives
• MathOverflow
• mathtable.com
• Metamath Proof Explorer
• Netlib
• Wolfram Functions Site
  
  
• LMFDB — The L-functions and Modular Forms Database
• Online Encyclopedia of Integer Sequences (old) ( What not to submit)

Education & Reference

• Lockhart's Lament
  
  
• Calculus@Internet
• Math Forum Internet Calculus Collection
• Mathematics Archives Calculus Resources Online
• SimCalc Project at U. Mass.
• TILU Table of Integrals Lookup
• The Integrator
• The Vanderbilt Calculus Toolkit
  
  
• Basic Algebra Help
• College Algebra Homepage
• The Most Common Errors in Undergraduate Mathematics
• Exercises in Math Readiness (EMR) (Logarithms)
• FLAG — Field-tested Learning Assessment Guide [calculus/math diagnostic]
• Glossary of Mathematical Mistakes
• High School Hub: Mathematics
• Mathematics Help Central (Graph Paper)
• The Math Forum (Teacher 2 Teacher)
• Natural Maths
• NRICH (alt) (alt)
• SOS Math (Trigonometry) (Logarithmic Functions)
• Web Resources
  
  
  
  
• Free Graph Paper Generator (old)
• Graph Papers (U. Illinois)
  
  
• Free Math Texts
• MathBookShelf
• MathWright Mathematics Instructional Library

Institutions & Organizations

• The Applied Math Group
• American Association of Mathematics Teachers
• American Mathematical Society
• Center for the Popularization of Mathematics
• Clay Mathematics Institute
• Consortium for Mathematics and Its Applications (COMAP)
• Mathematical Association of America
• National Science Foundation
• SciMathMN
• University of Minnesota Geometry Center [defunct]
  
  
• Mathematical Subject Classification
• Mathematical Subject Classification (Proposed)
  
  
• American Mathematical Monthly (JSTOR)
• Mathematical Sciences Digital Library (MathDL) ( Journal of Online Mathematics and its Applications (JOMA))
• MathSciNet

Visualization

• Desmos
  
  
• Galleries of Mathematical Objects
• Sloan Nota
  
  
• Algebraic Surface Home Page
• AMS — Mathematical Imagery
• Aviary
• Paul Bourke's Geometry Page
• Bill Casselman's Pythagoras Gallery
• The Gallery of Mathematics
• Tom Getty's Polyhedral Hyperpages
• George Hart's Pavilion of Polyhedrality
• David Hoffman's The Scientific Graphics Project
• Images and Mathematics
• IntuMath Graphing Calculator Mathematics Visualizations [Chris Young
• The MacTutor Famous Curves Index
• Geometry Center Topological Zoo
• Hyperseeing
• Ute Fuch's Gallery of Minimal Surfaces
• Gallery of Famous Surfaces (Xah Lee)
• Jorg Hahn and Konrad Polthier Calendars
• Ha Le's Gallery of Polyhedra
• Xah Lee's Home Page ( A Visual Dictionary of Special Plane Curves) (Wallpaper Groups) ( Mathematics Graphics Gallery) ( Macintosh Math Programs) ( Mathematica Packages)
• Manipula Math Java Applets
• Mathematica Graphics Gallery
• National Curve Bank — Index of Classic Plane Curves and Surfaces
• Torre Nordstrand's Gallery of ray-traced surfaces
• A Photographic Gallery of Helaman Ferguson Sculptures
• Robert Scharein's The KnotPlot Site
• two-dimensional curves
• Virtual Math Museum [3DExploreMath]
• Visual Dictionary of Special Plane Curves (Xah)

Special Functions

• Spherical Harmonics
• Associated Legendre Functions
• Functions
• Spherical Harmonics in molecular modelling
• Visualizations (alt)

Analysis

• Fourier Series Examples [java applet]
• Fourier Series Applet
• Fourier Series Examples

Fractals & Chaos

• Non-linear Science FAQ
  
  
• Chaos: A Mathematical Adventure
• Explore the Mandelbrot Set
• Malin Christersson [Fractals and non-Euclidean geoemtry]
• fractalforums.com
• A Fractals Lesson (Cynthia Lanius)
• Fractal Music Lab
• The Mandelbulb
• Mu-Ency — The Encyclopedia of the Madelbrot Set
• Sprott's Fractal Gallery ( Strange Attractors: Creating Patterns in Chaos [J.C. Sprott]) (fsh)

Knots

• Knots on the Web
• Mathematics and Knots
• Theory of Tie Knots

Geometry

• Acme Klein Bottle
• Bianchi Classification of 3-Geometries: Original Papers in Translation
• Dimensions
• Electronic Geometry Models
• Encyclopedia of Triangle Centers
• Euclid's Elements
• Flatland
• Fourth Dimension: Tetraspace
• Geometric Algebra (Tutorials) (Geometric Algebra for Computer Science)
• The Geometry of the Sphere
• Geometry Games (Jeff Weeks)
• geomview
• Hyperbolic Tesselations (applet)
• Horn Torus
• Hypercube applet (source) (author)
• The Knot Atlas
• The Manifold Atlas Project
• Non-Euclidean Geometry
• Pi-Base (topological counterexamples)
• Spherical Geometry Demo (Java)
• Tau Day
• Topology & Geometry Software [Jeff Weeks] ( Torus and Klein Bottle Games) ( Exploring the Shape of Space)
• Trigonometry Mnemonics
• Zach's Interdimensional Page

Numbers and Number Theory

• Googology — the Large Number Encyclopedia
• Integer Factoriztion Calculator
• The Natural Number Game
• The PrimePages (alt) (PrimeNumbers Crackpot Index)
• The Secret Lives of Numbers

Algebra & Group Theory

• Complex Polynomial Roots Toy
• Galois Theory
• Finite Mathematics and Applied Calculus Page [many tutorials]
• Linear Algebra Java Demos (alt)
• Linear Algebra 18.06 at MIT
• Linear Methods of Applied Mathematics [online textbook]
  
  
• Atlas of Finite Group Representations (Monster)
• Cohomology.com [Greg Landweber/LinearAlgebrator]
• GroupProps, the Group Properties Wiki

Statistics

• EntropyPool
• HotBits: Genuine random numbers, generated by radioactive decay
• Chronology of Calculating Pi
• Pi in Javascript
• A radio is tuned into a frequency where nobody is broadcasting
• Harnessing the power of Lava Lite lamps to generate truly random numbers since 1996
• random.org
  
  
• Electronic Statistics Textbook [StatSoft]
• Fathom
• R for Data Science
• Sysquake LE on the Web

Codes & Ciphers

• Enigma Emulator
• rot13

Computing, AI etc.

• cleverbot
• Eureqa
  
  
• Aristo Multilog Nr. 970 Simulator
• Derek's Virtual Slide Rules (Portable Version)
• Slide Rule Universe

Mathematica Resources

• Mathematica at UMM
  
  
• Wolfram Research
• MathSource
• Mathematica Information Center (Mathematica programs)
• Mathematica Graphics Gallery
• Mathworld, Eric Weisstein's World of Mathematics
• Mathematica Journal
• Wolfram Demonstrations Project
  
  
• Wolfram Macintosh Support Area
• Mathematica integration with OzTeX (Wolfram)
• Want to Use Mathematica Fonts with OzTeX 3.0?
  
  
• The Mathematica Tutorial HomePage (LANL)
• Online Introduction to Mathematica (dead link?)
• Introduction to Mathematica (PDF)
• Mathematica-related URL's
  
  
• comp.soft-sys.math.mathematica usenet newsgroup
  
  
• Download an "Introduction to Mathematica" Tutorial Notebook
  
  
• Cartan
• EinS (Mathematica Package for calculations with indexed objects)
• Gianluca Gorni
• Physics2001 (Mathematica Packages for Advanced Mathematics and Theoretical Physics) (alt) (alt) (nutty author's home)
• Riemannian Geometry and Tensor Calculus [Mathematica package]
• Exterior Differential Calculus ["]
  
  
• Mathematica in High School
  
  
• A New Kind of Science (Wired)
• A New Kind of Science (kurzweilAI)

Maple Resources

• Waterloo Maple
• Maplesoft
• MapleApps
• Maple Primes
• Maple Applications Center
• Maple User Group home (old)
• Maple User Group List Archive (Waterloo)
• Maple User Group Answers
• Maple on the Web
• Google Maple
  
  
• Maple bilingual
• Maple Essentials
• Maple Student Center
• Getting Started with Maple (Indiana Stat/Math Center Maple page)
• Maple: An Introduction
• Maple Lab Manual
• Maple Tutorial [Math 243, University of Delaware]
• Maple Examples
• A Short Introduction to the Maple Language ( Maple Handbook for Calculus Students)

Sage Resources

• SageMathCell

Applets & Multimedia

• Aviary
• Cut-the-knot Interactive Mathematics
• Fourier Series Examples [java applet]
• Fourier Series Applet
• Linear Algebra Java Demos (alt)
• MIT Mathlets
• National Library of Virtual Manipulatives (eNLVM)
• Mark Newbold's Java Geometry
• Wolfram Demonstrations Project

Other Mathematics Software & Computing Resources

• Putting Mathematics on the Web
• Tiddlywiki
• jsMath
• TiddlyjsMath
  
  
• Computers in Physics Internet Goldmine
• MacStats (old) (older)
• Mathtools.net
• Netlib
• OpenMath Society
• Science, Mathematics & Educational Technology Resources (Larry MacPhee, NAU)
  
  
• The Mathworks (MATLAB) (online) ( MATLAB repackaged for Mac OS X)
• Octave
• SciLab
• Waterloo Maple
  
  
• AquaTerm (gnuplot etc. GUI)
• Paul Bourke
• Calculator.net (free online calculators of all types)
• Cohomology.com [Greg Landweber/LinearAlgebrator]
• desmos free online graphing
• DPGraph (Dynamic Photorealistic Graphing)
• Eigenmath
• FiPy PDE Solver
• FreeMat
• GAP (Groups, Algorithms, and Programming — discrete algebra)
• Gephi
• Geogebra
• Geometer's Sketchpad
• Geometric Calculator
• Geometry Games (Jeff Weeks)
• geomview
• The GRACE Project
• GRACE (WYSIWYG plotting tool)
  
  
• Graphing Calculator (Pacific Tech) (Ron Avitzur's Blog) ( Yahoo! Groups Files Area)
• IntuMath [Chris Young]
  
  
• Graph-O-Matic (OpenGL)
• Create Your Own Graph Paper
• Graphviz
• LiveMath (alt)
• Macintosh Chaos and Fractals programs
• Macintosh Fractals programs AOL mirror archive
• Macintosh Mathematics Programs
• MathXpert
• Numerical Recipes
• Numerical Python
• R on the Mac (MacStats) (old)
• The R Project for Statistical Computing
• CRAN (Comprehensive R Archive Network)
• Stat/Transfer
• 3D-XplorMath (3D-XplorMath-J)
• Topology & Geometry Software
• yacas [yet another computer algebtra system]
  
  
• Leibnitz (Mathematica front-end/mathematical word processor) (old)
• MathMagic Equation Editor (Mac OS)
• MathType Equation Editor
• Scientific Assistant
• Theorist
  
  
• The Museum of HP Calculators
• Texas Instruments Calculators (including manuals)
• TI World (The Source for TI Programs) (old) (TI Calculators, the classroom, and the Macintosh)
• TI Graph Link