Math on the Web: Mathematics by Topics

Computational Science Education at NHSE (National HPCC Software Exchange): 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 ]

[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 list of Online 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

Steven Finch's Collection of Unsolved Problems and links to such (MathSoft, Cambridge MA, USA)

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.
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