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
- 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:
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 underCombinatorics 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, and 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
- Complexity People at Uni Trier (Trier, Germany)
- 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).
- Computer Science Technical Reports Archive at Monash U (Clayton, VIC AU)
- Unified Computer Science TR Index at U Indiana (Indianapolis, IN USA). Marc VanHeyningen’s searchable index of documents
- On-line CS Techreports at Carnegie-Mellon U (Pittsburg, PA USA)
- TCS Virtual Address Book at the ACM, maintained by Ian Parberry (Denton, TX USA)
- The Free On-line Dictionary of Computing at Imperial College (London, UK)
- Electronic Colloquium on Computational Complexity Home Page at Uni Trier (Trier, Germany)
- The HOL (Higher Order Logic) Theorem Proving System at Brigham Young U (Provo, UT USA)
- 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.
- International Cryptography Page (Finland)
- 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
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, The Navy Center for Applied Research in Artificial Intelligence (Washington, DC)
Geometry
- Geometry Sites at U Tennessee Knoxsvile (Knoxsville, TN USA)
- 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
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
- 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
- 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 and under Strens Collection Database on MathSci.
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
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)
- 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.