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:

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.

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 Classes

00 General

Mathematical Awareness Month

Math in the Media [Monthly magazine from the AMS]

AMS Feature Column [Monthly essay from the AMS]

MAA Online Columns Collection [Peterson, Devlin, Colm, Bressoud, Adams and Narayan, Sandifer, Morgan, Bogomolny, Peterson, Pegg]

Frequently Asked Questions (FAQ) about Mathematics (The Sci.Math FAQ Team)

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 to millions of decimal places.

The Erdos Component Page at Oakland U (Rochester, MI USA) – Information on the graph of collaboration in mathematics (J. Grossman)

John Baez’s “This week’s finds in mathematical physics”

Math for Poets, Understanding Mathematics, and Gödel, Escher, Bach (J. Lawler, U Michigan)

International Congress of Mathematicians — ICM 2002 Beijing Announcements

International Congress of Mathematicians — ICM 1998 Berlin Proceedings

International Congress of Mathematicians — ICM 1994 Zürich Abstracts

International Congress of Mathematicians — Dates and locations of previous ICM (1897-1998)

Electronic journals:

Searchable index of mathematical resources:

MathSearch (J. Richardson, University of Sydney)

Newsgroups

• sci.math
• sci.math.research

01 History and biography

Web sites and pages:

• History of Mathematics Page, (D.E. Joyce, Clark University)
• Fields Medals and Nevanlinna Prizes
• Eric’s Treasure Trove of Scientific Biography
• Princeton’s Fine Hall in the Early 60’s

03 Mathematical logic and foundations

Bibliographies

• Finite Model Theory References

04 Set theory

Classification RETIRED in 2000

05 Combinatorics

Electronic journals:

• Electronic Journal of Combinatorics

Preprints:

• Combinatorics (Front, XXX Math Archive)

Other material:

• World Combinatorics Exchange (Georgia Institute of Technology)
• Links to Combinatorial Conferences (at UIUC, IL, USA)
• Combinatorics Conferences (at Combinatorics Net from W. Chen)
• Open Problems in Graph Theory and Combinatorics

06 Order, lattices, ordered algebraic structures

08 General algebraic systems

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

11 Number theory

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Preprints:

• Algebraic Number Theory (Urbana)

Bibliographies:

• Hilbert’s Tenth Problem BibTeX files (MIT)

Databases:

• Number fields database at the University of Bordeaux

12 Field theory and polynomials

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

13 Commutative rings and algebras

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Preprints:

• Commutative Algebra (North Dakota)

14 Algebraic geometry

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

15 Linear and multilinear algebra; matrix theory

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

16 Associative rings and algebras

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

17 Nonassociative rings and algebras

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

18 Category theory, homological algebra

Electronic journals:

• Theory and Applications of Categories
• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Preprints:

• Representation Theory and Cohomology (Dave Benson, University of Georgia, Athens)

19 K-theory

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Preprints:

• K-theory (Urbana)

20 Group theory and generalizations

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Preprints:

• Representation Theory and Cohomology (Dave Benson, University of Georgia, Athens)

Bibliography:

• Group Theory BibTeX files (ANU)

22 Topological groups, Lie groups

26 Real functions

28 Measure and integration

• The relevant section of Modern Analysis Online (King’s College, London, UK)

30 Functions of a complex variable

Preprints:

• Functions of a complex variable (Front for the Mathematics ArXiV)

Information Sites

• Julia and Mandelbrot Set Explorer by David E. Joyce [1994] (Clark U, Worcester, MA USA)
• Graphics for complex analysis by Douglas E. Arnold [1997-2000; May 2008 addditions] (Institute for Mathematics and its Application, Minneapolis, MN USA)
• Dynamics in One Complex Variable: Introductory Lectures by John Milnor [1990 preprint] (Institute for Mathematical Sciences, SUNY Stonybrook, NY USA)
• Local Connectivity of Julia Sets: Expository Lectures by John Milnor [1992 preprint] (Institute for Mathematical Sciences, SUNY Stonybrook, NY USA)
• Local Connectivity of Julia Sets: Expository Lectures by John Milnor [1992 preprint] (Institute for Mathematical Sciences, SUNY Stonybrook, NY USA)
• Table of Conformal Mappings Using Continuous Coloring by George Abod and Paul Godfrey [1999] (Florida Institute of Technology, Melbournbe, FL USA)
• The relevant section of Modern Analysis Online (King’s College, London, UK)

31 Potential theory

32 Several complex variables and analytic spaces

33 Special functions

Preprints:

• SIAM Activity Group on Orthogonal Polynomials and Special Functions (NIST, Gaithersburg, USA)

34 Ordinary differential equations

Electronic journals:

• C*ODE*E : Newsletter of the Consortium for Ordinary Differential Equation Experimentation (Harvey Mudd College, Claremont CA)
• Electronic Journal of Differential Equations
• The relevant section of Modern Analysis Online (King’s College, London, UK)

Information Site:

• Consortium for Ordinary Differential Equation Experimentation (Harvey Mudd College, Claremont, CA USA)
• The relevant section of Modern Analysis Online (King’s College, London, UK)
• The relevant section of The Mathematical Atlas by Dave Rusin [2000] (Northern Illinois University, DeKalb, IL USA)

35 Partial differential equations

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)

Electronic journals:

• Electronic Journal of Differential Equations

Preprints:

• Conservation Laws Preprint Server (Norwegian University of Science and Technology, Trondheim, Norway)

37 Dynamical systems and ergodic theory

Information Site:

• SIAM Activity Group on Dynamical Systems (George Mason U, Fairfax VA)

39 Finite differences and functional equations

40 Sequences, series, summability

41 Approximations and expansions

42 Fourier analysis

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)

Other material:

• Wavelets, (Salzburg, AU)
• Center for the Mathematics of Waves (U Delaware)
• Wavelets Code and Papers, (Yale U, New Haven CT)
• X Wavelet Packet Laboratory, (Yale U, New Haven CT)

43 Abstract harmonic analysis

Information Site:

• Harmonic Analysis and Related Problems 2002-2006 IHP Network (Wroclaw University)

44 Integral transforms, operational calculus

45 Integral equations

46 Functional analysis

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)
• Also algebras of operators at Modern Analysis Online (King’s College, London, UK)
• The relevant section of The Mathematical Atlas by Dave Rusin [2000] (Northern Illinois University, DeKalb, IL USA)

Preprints:

• Banach Spaces & Functional Analysis preprint service (Oklahoma State)
• Lecture notes on functional analysis by Douglas E. Arnold [1997] (Institute for Mathematics and its Application, Minneapolis, MN USA)

Web sites:

• Operator Algebra Resources (U Oregon, OR USA; N. Christopher Phillips) [a comprehensive list of pointers]

47 Operator theory

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)
• Also semigroups of operators at Modern Analysis Online (King’s College, London, UK)

49 Calculus of variations and optimal control

51 Geometry

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Web sites and pages:

• The Geometry Center, University of Minnesota
• Center for Geometry Analysis Numerics and Graphics (GANG), U Massachusetts Amherst
• The Geometry Forum, Swarthmore College

Newsgroups:

• Geometry Newsgroup

52 Convex and discrete geometry

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Newsgroups:

• Geometry Newsgroup

53 Differential geometry

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)

Electronic journals:

• Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

Bibliographies:

• Harmonic Maps Bibliography (Bath)
• Harmonic Maps (Florida)

Newsgroups:

• Geometry Newsgroup

54 General topology

Preprints:

• The Topology Atlas (U Nipissing, North Bay, ON CA)

55 Algebraic topology

Preprints:

• Algebraic Topology (Purdue)
• Representation Theory and Cohomology (Dave Benson, University of Georgia, Athens)

57 Manifolds and cell complexes

58 Global analysis, analysis on manifolds

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)

Electronic journals:

• Complexity International

Preprints:

• Dynamics (esp. Complex Dynamics) (SUNY Stony Brook)
• Complexity On-line (ANU)

Newsgroups:

• sci.nonlinear
• Geometry Newsgroup

60 Probability theory and stochastic processes

Information Site:

• The relevant section of Modern Analysis Online (King’s College, London, UK)

Abstracts:

• Probability Abstract Service

62 Statistics

Virtual library of statistical information, maintained at the University of Florida.

Other Sources:

• pLab – Theoretical and Practical Aspects of Random Number Generation (Salzburg, AU)
• Applied Statistics, University of Reading UK
• Statistics , The University of Liverpool UK
• Statistics, UCLA
• Statistics, University of Chicago
• Department of Mathematics and Statistics, University of Melbourne, Australia
• Statistics Dept., University of Washington
• Statistics Finland
• Statistical Laboratory, University of Canbridge UK

65 Numerical analysis

Electronic journals:

• Electronic Transactions on Numerical Analysis

Preprints:

• Computational Mathematics (SEL-HPC)
• Conservation Laws Preprint Server (Norwegian University of Science and Technology, Trondheim, Norway)

Databases:

• NETLIB Repository (University of Tennessee, Knoxville)

Newsgroups:

• sci.math.num-analysis

68 Computer science

Societies:

• ACM, Association for Computing Machinery (New York NY, USA)
• JSSAC Japan Society for Symbolic and Algebraic Computation (Nara, Japan)

Preprints:

• Computer Science (Hypatia, QMW, London)

70 Mechanics of particles and systems

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

• Mathematical Physics (mp_arc, U. of Texas, Austin)

73 Mechanics of solids

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

• Mathematical Physics (mp_arc, U. of Texas, Austin)

76 Fluid mechanics

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

• Conservation Laws Preprint Server (Norwegian University of Science and Technology, Trondheim, Norway)
• Mathematical Physics (mp_arc, U. of Texas, Austin)

78 Optics, electromagnetic theory

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

• Mathematical Physics (mp_arc, U. of Texas, Austin)

80 Classical thermodynamics, heat transfer

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

• Mathematical Physics (mp_arc, U. of Texas, Austin)

81 Quantum Theory

Electronic journals:

• Mathematical Physics Electronic Journal

• Introduction to Topological Quantum Field Theory, Ruth J. Lawrence (University of Michigan, Ann Arbor MI, USA)
• Quantum Topology Project, Virginia Polytechnic and State University (Blacksburg VA, USA)
• Research Group on Topological Quantum Field Theory and Knots (Zürich/Milan/Stony Brook/Novara)
• Topological Quantum Field Theory Club, Instituto Superior Técnico (Lisbon, Portugal)
• Topological Geometrodynamics

Preprints:

• • Lie-groepen in de fysica by M. Veltman, B. De Wit & G. ’t Hooft [2003, PDF, Dutch, 73 pages] (Institute for Theoretical Physics, Utrecht, NL)
    • Opgaven behorende bij het college Liegroepen 2003 by G. ’t Hooft [2003, PDF, Dutch, 12 pages] (Institute for Theoretical Physics, Utrecht, NL)
    • Mathematical Physics (mp_arc, U. of Texas, Austin)

82 Statistical mechanics, structure of matter

Electronic journals:

• • • Mathematical Physics Electronic Journal

Preprints:

• • • Mathematical Physics (mp_arc, U. of Texas, Austin)

83 Relativity and gravitational theory

Electronic journals:

• • • Mathematical Physics Electronic Journal

Sites

Preprints:

• • • Introduction to General Relativity by Gerard ’t Hooft [8/4/2002, PDF, 59 pages] (Spinoza Institute, Utrecht, NL)
    • Mathematical Physics (mp_arc, U. of Texas, Austin)

85 Astronomy and astrophysics

86 Geophysics

90 Operations research, mathematical programming

Institutions:

• • • List of all German-speaking institutes related to operations research

Newsgroups:

• • • sci.op-research

91 Game theory, economics, social and behavioral sciences [includes parts of older 90 and 92]

Organizations:

Preprints:

92 Biology and other natural sciences

Organizations:

• • • Society for Mathematical Biology

Preprints:

• • • Complexity On-line (ANU)

93 Systems theory; control

94 Information and communication, circuits

Sites

• IMAGERS, UCLA Image processing Group (UCLA, Los Angeles, CA USA)

97 Mathematics education [section added in 2000]

Organizations:

Preprints:

This first page of this type was a list at Trinity College Dublin made by D.R. Wilkins.
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