Mathematics

on the Mathematics by Topic

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Math on the Web > Mathematics by Topic [Updated: May 23, 2011]

Mathematics by Topic lists some topic keywords in the Table of Contents. In each section are links to
electronic journals, preprints, Web sites and pages, databases and other pertinent material in the
corresponding field. There is also a page of Materials Organized by Mathematical Subject Classification.

Table of Topics
Actuarial Mathematics Knot Theory
Algebra Linear Programming
Calculus Resources Logic
Cellular Automata Mathematics and Art
Chaos Mathematical Life Sciences
Combinatorics Mathematical Physics
Complex Variables Mathematical Puzzles
See also Several Complex Variables Multidimensional Analysis
Complexity and Complex Systems Nonlinear Dynamics
Computational Fluid Dynamics Nonlinear Programming
Computational Science Numbers
Cryptology Numerical Analysis
Differential Equations Origami
See Ordinary Differential Equations or Partial Pedagogy
Differential Equations Operator Algebras
Dynamical Systems Operations Research
Fermat's Last Theorem Optimization
Finite Elements Probability
See Numerical Analysis Quantum Computing
Fractals Random Number Generation
General Exposition Real Analysis
General Relativity Semigroups
Genetic Algorithms Several Complex Variables
Geometry Statistics
Graphical Images Topology
Harmonic Maps Unsolved Prolems
History Wavelets

Actuarial mathematics

Department of Actuarial Mathematics and Statistics, Heriot-Watt University (UK)

Balducci's Actuarial Home Page (Calgary, CA)
South African Actuarial Site
Berry List of Actuarial Resources
City University's list of links (London, UK)
International Actuarial Association (UK); its page of links
The Mother of all Actuarial Glossaries

Algebra

A Brief History of Algebra and Computing:

An Eclectic Oxonian View by Jonathan P. Bowen (Oxford, UK)
Catalogue of Algebraic Systems (University of San Francisco)
Discrete Structures (Universität Bayreuth)
Solving the Quintic (Wolfram Research Inc.)
[Look also for items listed by classification under:
General algebraic systems 08,
Field theory and polynomials 12,
Commutative rings and algebras 13,
Linear and multilinear algebra,; matrix theory 15,
Associative rings and algebras 16,
Nonassociative rings and algebras 17,
Category theory, homological algebra 18,
K-theory 19
Group theory 20 ]

Calculus Resources

Calculus Resources at the Math Archive

Interactive Learning in Calculus and Differential Equations with Applications

Cellular Automata

Primordial Soup Kitchen (University of Wisconsin)

Tutorials (Complex Systems Information Network)

Chaos

Applications of Chaos to Sound and Music

Chaos Under Control
Chaos at Maryland
[Look also for items listed by classification under:
Global Analysis, analysis on manifolds 58 ]
Combinatorics

World Combinatorics Exchange (Georgia Institute of Technology)

Combinatorics (Universität Bayreuth)
[Look also for items listed by classification under:
Combinatorics 05 ]

Complex Variables

[Look also under:

Several Complex Variables ]
Dynamical Systems and Technology Project (Boston University)
Limit Sets of Kleinian Groups (Oklahoma State University)
Julia and Mandelbrot Set Explorer (Clark U)
The relevant section of Modern Analysis Online (King's College, London, UK)
[Look also for items listed by classification under:
Functions of a complex variable 30,
Several complex variables and analytic spaces 32 ]

Complexity and Complex Systems

Complexity On-Line (ANU, Canberra, Australia)

Computational Fluid Dynamics (CFD)

CFD Resources Online (CFD Online, Sweden)

Computational Fluid Dynamics (R. Chong / W. Christopher)
Computational Fluid Dynamics and Combustion Modelling (Cranfield University, UK)

Computational Science

Computational Science Education at NHSE (National HPCC Software

Exchange) [as of 20140527 seems to have gone down]
at netlib.org [High Performance Computing and Communications
(HPCC)]
Development of the NHSE is being carried out by the Center for Research
on Parallel Computation (CRPC) at Rice U (Houston, TX USA).
 Tulane maintains links to the home pages of groups and individual
researchers in areas relating to programming semantics and its
mathematical underpinnings.
Complexity People at Uni Trier (Trier, Germany)
Over 40 people's Home Pages [23 Oct 1995].
Home Page for: The Most Complex Machine: A Survey of Computers and Computing
by David Eck at Hobart and William Smith Colleges (Geneva, NY USA).
[Unable to connect to remote system, 15AUG97]
Computer Science Technical Reports Archive at Monash U (Clayton, VIC AU)
more than 280 sites, and information on more than 10,000 reports, of
which 2,800 downloadable [23 October 1995].
Unified Computer Science TR Index at U Indiana (Indianapolis, IN USA)
Marc VanHeyningen's searchable index of documents (11094
documents form 185 sites [23 Oct 1995]) and its list of ftp sites.
On-line CS Techreports at Carnegie-Mellon U (Pittsburg, PA USA)
There are currently [23 Oct 1995] 260 sites here, some of which are ftp
sites, some are html.
TCS Virtual Address Book at the ACM, maintained by Ian Parberry (Denton, TX
USA)
The SIGACT TCS Virtual Rolodex lists the URLs of 492 theoretical
computer scientists on the Web.
The Free On-line Dictionary of Computing at Imperial College (London, UK)
23 Sep 1995: Joost van der Schaaf became the four hundredth
contributor to FOLDOC.
Electronic Colloquium on Computational Complexity Home Page at Uni Trier (Trier,
Germany)
Formal Methods (EINET)
Includes Petri Nets; Formal Methods; The Z notation ; SRI International
Computer Science Formal Methods and Dependable Systems
Laboratory; TM - Formal Database Specification Language; The
Automated Reasoning Project (at the Australian National University) [23
Oct 1995].
The HOL Theorem Proving System at Brigham Young U (Provo, UT USA)
(HOL = Higher Order Logic)
The TCS Genealogy at U North Texas (Denton, TX USA)
The SIGACT Theoretical Computer Science Genealogy, which lists
information on earned doctoral degrees (adviser, university, and year) of
theoretical computer scientists worldwide.
[Look also for items listed by classification under:
Computer Science 68 ]
Computer Algebra

CAIN - Computer Algebra Information Network

SymbolicNet - Symbolic Mathematical Computation Information (Kent State
University)
[Look also for items listed by classification under:
Computer Science 68 ]

Cryptology

Quadralay Cryptography Archive

Clipper; Crypto-Anarchists; Cypherpunks; Digital Encryption Standard
(DES); Digital Telephony; Dolphin Encrypt; Export Issues; General;
International Cryptography Pages; Kerberos; Law; Macintosh
Cryptography Interface Project National Security Agency (NSA); PGP
(Pretty Good Privacy); RIPEM; RSA; Sternlight, David; Tempest (23 Oct
1995)
International Cryptography Page (Finland)
Including algorithm descriptions
Oxford (England) ftp site
"Implementations of the Data Encryption Standard, cryptanalysis, some
toy ciphers, real products like MD5 and RC4, distribution kits, interfaces,
utilities for Pretty Good Privacy"
[Look also for items listed by classification under:
Computer Science 68 ]

Differential Equations

[Look under:
Ordinary Differential Equations or
Partial Differential Equations ]
[Look also for items listed by classification under:
Ordinary Differential Equations 34,
Partial Differential Equations 35 ]

Dynamical Systems

[Look also under:

Nonlinear Dynamics ]
SIAM Activity Group on Dynamical Systems
Center for Nonlinear Studies, Los Alamos National Lab
UK Nonlinear and Dynamical Systems Groups
Centre for Nonlinear Dynamics and its Applications at University College (London,
UK)
Control and Dynamical Systems at Caltech (Pasadena CA, USA)
Who Is Who Handbook of Nonlinear Dynamics (Munich, Germany)
Nonlinear Dynamics Group, University of Mainz, Germany
[Look also for items listed by classification under:
Ordinary Differential Equations 34,
Global Analysis, Analysis on Manifolds 58 ]

Fermat's Last Theorem (FLT)

Fermat List at University of Cambridge, UK

Fermat List at SUNY Albany.
[Look also for items listed by classification under:
Number Theory 11 ]

Fractals

Fractal Sites and materials at the Math Archives

Julia and Mandelbrot Set Explorer (Clark U)
sci.fractals FAQ by Michael C. Taylor (a current fractals FAQ)
Waterloo Fractal FAQ (Last update Dec 1995 as of 26 Nov 96)
Fractal Explorer Kit by Tom Harrington
Introduction to Fractal Explorer by Fabio Cesari
Spanky Fractal Database at TRIUMF

General Exposition

Math Awareness Month

And its interactive poster for April 2000
World Mathematical Year 2000

General Relativity

Mathematical Relativity (ANU, Canberra, AUS)

Hyperspace-
 Queen Mary and Westfield College UK
University of British Columbia CA
University of New Brunswick CA
[Look also for items listed by classification under:
Relativity and gravitational theory 83 ]

Genetic Algorithms

Genetic Algorithms at George Mason University

The Genetic Algorithms Archive
at The Navy Center for Applied Research in Artificial Intelligence (Washington,
DC USA)

Geometry

Geometry Sites at U Tennessee Knoxsvile (Knoxsville, TN USA)

[from which many items below were taken]
The Center for Geometry, Analysis, Numerics, and Graphics (GANG) at U
Massachusetts, Amherst (Amherst, MA USA)
An interdisciplinary differential geometry research team which publishes
its Preprints and Software. The GANG Geometry Archive contains
a Gallery of Constant Mean Curvature Surfaces and a Gallery of Minimal
Surfaces as well as a poster and a video production.
Differential Geometry and Quantum Physics at T. Universität Berlin (Berlin,
Germany) [Unable to connect to remote system, 15AUG97]
Geometry Center, at the University of Minnesota
A National Science Foundation - Graphics and Visualization Center dedicated
to the computation and visualization of geometric structures. An
important part of their mission is to facilitate communication, both
among mathematicians and between mathematicians and the public at
large. (Brown U, Providence RI, USA)
The Math Forum
Used to be at Swarthmore College, and is now commercial as
a WebCT Community.
Geometry Sender [Document not found, 15AUG97] at Keio University (Japan)
A Network File System dedicated to the distribution of geometric
structures.
A laboratory without walls coordinating the activities of research projects
at the University of Helsinki, University of Joensuu and the Helsinki
University of Technology. CAM laboratory collaborates with the CSC
 Inc. Activities of the CAM laboratory center around the SAMPO project
in computational conformal geometry.
The Pavilion of Polyhedreality by George W. Hart (Hoftsra U)
A display of polyhedra, list of sites, and a multimedia experiment "For
your maximal synesthetic enjoyment, I have chosen short musical
selections to go with each picture. If your web viewer is set up to play
MIDI music files, just click on any of the red notes before selecting a
picture, and you can listen to a J.S. Bach piece as background music
while each image is transferring." There are also dozens of links to
things polyhedral.
The relevant section of Modern Analysis Online (King's College, London, UK)
[Look also for items listed by classification under:
Geometry 51,
Convex and discrete geometry 52,
Differential geometry 53 ]

Graphical Images

Graphical Gallery at the Geometry Center (U Minnesota)

History

History of Mathematics at Clark University

Biographies of Women Mathematicians
Fields Medal (University of Toronto)
Fields Medals and Nevanlinna Prizes (ZIB, Berlin)
MacTutor History of Mathematics (St. Andrews)
Princeton's Fine Hall in the Early 60's
[Look also for items listed by classification under:
History and biography 01, ]

Knot Theory

Knot Theory - Claremont High School

KnotPlot (University of British Columbia, CA)
Knots on the Web collection by Peter Suber (Earlham College IN)
[Look also for items listed by classification under:
Manifolds and cell complexes 57 ]
Linear Programming

Linear Programming FAQ

This list is maintained by Robert Fourer (4er@iems.nwu.edu) and the
Optimization Technology Center of Northwestern University and
Argonne National Laboratory.

Logic

Finite Model Theory References

Mathematical Life Sciences

Archives at U Tennessee, Knoxville (Knoxsville, TN USA)

Organized with NSF support.
Ecological modelling at U Adelaide (Adelaide, SA UA)
[Look also for items listed by classification under:
Biology and other natural sciences, behavioural sciences 92 ]

Mathematical and Art

International Society for the Arts, Mathematics and Architecture

Links to many interesting sites
ArtFuture
World of Escher Homage to the work of the Dutch artist Maurits Escher
See also the AMS list of Museums and Exhibitions.

Mathematical Physics

John Baez's This Week's Finds in Mathematical Physics

Weekly newsletter explaining new developments of interest to the
author at U California Riverside.
Archive of earlier issues

Mathematical Puzzles

[Look also under:

Strens Collection Database on MathSci]
Archives of the newsgroup rec.puzzles (MIT)
List of locations of the Archives of the newsgroup rec.puzzles
[Look also for items listed by classification under:
General 00 ]

Multidimensional Analysis

Multidimensional Analysis, a book by George W. Hart at Columbia U (New York,

NY USA)

Nonlinear Dynamics

[Look also under:

Dynamical Systems ]
Nonlinear Dynamics Sites at U Tennessee, Knoxville (Knoxsville, TN USA)
[Look also for items listed by classification under:
Global analysis and analysis on manifolds 58 ]

Nonlinear Programming

FAQ
This list is maintained by Robert Fourer (4er@iems.nwu.edu) and the
Optimization Technology Center of Northwestern University and
Argonne National Laboratory.

Numbers

Numbers at U Tennessee, Knoxville (Knoxsville, TN USA)

Data Powers of Ten; Egyptian fractions; Favorite Mathematical
Constants ; The Fibonacci Numbers; Googoolplex; Integer Sequences;
Inverse Symbolic Calculator; Largest Known Primes; Number Field
Tables; Number World; PI; PI, again; Sci.Math FAQ - Sections on
Numbers; The Uselessness of Pi and its irrational friends [23 Oct 1995].
N. J. A. Sloane's Integer Sequence Encyclopedia and programs
Superseeker description
Favorite Mathematical Constants, by Steven Finch
An online book and extensive collection of the author's "favorite" special
numbers.
Simon Plouffe's Tables of Mathematical Constants
 Often to millions of decimal places.

Numerical Analysis

Finite element mesh generation

Finite Element Resources
Numerical methods for 1 D compressible flows
Project Hermite
Multigrid Algorithm Library
Now maintained as part of the German Scientific Computing Pages at the
University of Erlangen (Germany)
Multivariate polynomial interpolation
Interval Computations
[Look also for items listed by classification under:
Numerical analysis 65 ]

Origami

Origami Mathematics Page

Thomas Hull (Merrimack College, North Andover MA)

Pedagogy

CTI - Mathematics, Computers in Teaching Initiative (U Birmingham, England)

Operator Algebras

Operator Algebra Resources (U Oregon, OR USA; N. Christopher Phillips)

The relevant section of Modern Analysis Online (King's College, London, UK) [or
just generally functional analysis]
[Look also for items listed by classification under:
Functional analysis 46 ]

Operations Research

Michael Trick's Operations Research page (Carnegie-Mellon U, Pittsburgh PA))

[Look also for items listed by classification under:
Economics, operations research, programming, games 90 ]
Optimization

Mathematische Optimierung (Technische Universität Braunschweig)

[Look also for items listed by classification under:
Calculus of variations and optimal control; optimization 49 ]

Ordinary Differential Equations

Boston University Differential Equation Project

C*ODE*E - Consortium of ODE Experiments
Dynamical Systems and Technology Project
Interactive Learning in Calculus and Differential Equations with Applications
The relevant section of Modern Analysis Online (King's College, London, UK)
[Look also for items listed by classification under:
Ordinary differential equations 34 ]

Partial Differential Equations

Eigenmodes of isospectral drums by Tobin Driscoll (University of Delaware)

Finite element mesh generation (Technische Hochschule Aachen)
Finite Element Resources (University of Saskatchewan, CA)
The relevant section of Modern Analysis Online (King's College, London, UK)
[Look also for items listed by classification under:
Partial differential equations 35 ]

Probability

Three Door Puzzle (Monty Hall Puzzle)

The relevant section of Modern Analysis Online (King's College, London, UK)
[Look also for items listed by classification under:
Probability theory and stochastic processes 60 ]

Quantum Computing

Home of the Home Pages in quantum computing by Wim Van Dam (UC Santa
Barbara, CA USA)
Institute for Quantum Information (Caltech, Pasadena, CA USA)
John Preskill's Course Notes on quantum computing (Caltech, Pasadena, CA
USA)
Laboratoire d'Informatique Théorique et Quantique (U. de Montréal, PQ CA)
Oxford Centre for Quantum Computation (Oxford, UK)
Quantum Computing at IBM Research (Watson Research Lab, Yorktown, NY
USA)
SQUINT: The Stanford-Berkeley-MIT-IBM NMR Quantum Computation Project
(MIT, Cambridge, MA USA)

Random Number Generation

Theoretical and empirical aspects , at U Salzburg (Austria)

World Wide Web Random Number Generator at Indian Skeptic (Germany)
Downloadable random number tables based on a physical noise source
World Wide Web Random Number Generator at Trinity College (Dublin, Eire)

Real Analysis

Interactive Real Analysis

The relevant section of Modern Analysis Online (King's College, London, UK)
[Look also for items listed by classification under:
Real analysis 26 ]

Semigroups

Semigroups at U Southampton (Southampton, UK)

Home pages of semigroup theorists and links.
Semigroup Forum at Tulane U (New Orleans, LA USA)
Home page of the journal of this name.
The relevant section of Modern Analysis Online (King's College, London, UK) [i.e.,
semigroups pf operators]
[Look also for items listed by classification under:
Group theory and generalizations 20
Topological groups, Lie groups 22 ]

Several Complex Variables

[Look also for items listed by classification under:

 Several complex variables and analytic spaces 32 ]

Statistics

Graphical Data Analysis Course (Montana State University)

Splus Tutorial
Originally by Annie Dupuis of Dalhousie University, this is a revised
version, with additional services, at the Working Group "Statistical Analysis
Systems" of the Medical Faculty of the University of Munich, Germany.
Statistical resources on the Web (U Michigan, Ann Arbor MI)
StatLib (Carnegie-Mellon University)
StatLib, a system for distributing statistical software, datasets, and
information by electronic mail, FTP, gopher, and WWW. StatLib started
out as an e-mail service and some of the organisation still reflects that
heritage.
[Look also for items listed by classification under:
Statistics 62 ]

Topology

The Topology Atlas (U Ninpissing, North Bay, ON CA)

[Look also for items listed by classification under:
General topology 54 or Algebraic topology 55]

Unsolved Problems

A list of unsolved problems of mathematics (on a UK site devoted to playing Bingo)

Jeff Erickson's collection at UIUC
Steven Finch's Collection of Unsolved Problems and links to such (MathSoft,
Cambridge MA, USA) has disappeared

Wavelets

Wavelets, (Salzburg, AU)

The Wave Center (U Delaware)
Wavelets Code and Papers, (Yale U, New Haven CT)
Wavelets Information (South Carolina)
Wavelets Site (Salzburg, AU)
X Wavelet Packet Laboratory, (Yale U, New Haven CT)
[Look also for items listed by classification under:
Fourier analysis 42 ]

The first page here was developed in 1996 from one prepared at the University of
Tennessee, Knoxville Math Archives.
Return to the Table of Contents.

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