The Table of Contents lists the main sections of the Mathematics Subject Classification. Under each heading may be found some links to electronic journals, preprints, Web sites and pages, databases and other pertinent material. There is also a page of Materials Organized by Mathematical Topics.

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Table of Classes

00 General 01 History and biography 03 Mathematical logic and foundations 04 Set theory [Retired in 2000, see 03] 05 Combinatorics 06 Order, lattices, ordered algebraic structures 08 General algebraic systems 11 Number theory 12 Field theory and polynomials 13 Commutative rings and algebras 14 Algebraic geometry 15 Linear and multilinear algebra; matrix theory 16 Associative rings and algebras 17 Nonassociative rings and algebras 18 Category theory, homological algebra 19 K-theory 20 Group theory and generalizations 22 Topological groups, Lie groups 26 Real functions 28 Measure and integration 30 Functions of a complex variable 31 Potential theory 32 Several complex variables and analytic spaces 33 Special functions 34 Ordinary differential equations 35 Partial differential equations 37 Dynamical systems and ergodic theory 39 Finite differences and functional equations 40 Sequences, series, summability 41 Approximations and expansions 42 Fourier analysis 43 Abstract harmonic analysis 44 Integral transforms, operational calculus continued on the right

45 Integral equations 46 Functional analysis 47 Operator theory 49 Calculus of variations and optimal control 51 Geometry 52 Convex and discrete geometry 53 Differential geometry 54 General topology 55 Algebraic topology 57 Manifolds and cell complexes 58 Global analysis, analysis on manifolds 60 Probability theory and stochastic processes 62 Statistics 65 Numerical analysis 68 Computer science 70 Mechanics of particles and systems 73 Mechanics of solids 74 Mechanics of deformable solids [See 73] 76 Fluid mechanics 78 Optics, electromagnetic theory 80 Classical thermodynamics, heat transfer 81 Quantum Theory 82 Statistical mechanics, structure of matter 83 Relativity and gravitational theory 85 Astronomy and astrophysics 86 Geophysics 90 Operations research, mathematical programming 91 Game theory, economics, social and behavioral sciences 92 Biology and other natural sciences 93 Systems theory; control 94 Information and communication, circuits 97 Mathematics education

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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

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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

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03 Mathematical logic and foundations

Bibliographies

• Finite Model Theory References

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04 Set theory

Classification RETIRED in 2000

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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

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06 Order, lattices, ordered algebraic structures

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08 General algebraic systems

Electronic journals:

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

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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

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12 Field theory and polynomials

Electronic journals:

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

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13 Commutative rings and algebras

Electronic journals:

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

Preprints:

• Commutative Algebra (North Dakota)

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14 Algebraic geometry

Electronic journals:

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

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15 Linear and multilinear algebra; matrix theory

Electronic journals:

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

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16 Associative rings and algebras

Electronic journals:

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

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17 Nonassociative rings and algebras

Electronic journals:

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

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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)

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19 K-theory

Electronic journals:

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

Preprints:

• K-theory (Urbana)

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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)

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22 Topological groups, Lie groups

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26 Real functions

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28 Measure and integration

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

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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)

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31 Potential theory

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32 Several complex variables and analytic spaces

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33 Special functions

Preprints:

• SIAM Activity Group on Orthogonal Polynomials and Special Functions (York U, North York, ONT CA)

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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)

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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)

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37 Dynamical systems and ergodic theory

Information Site:

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

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39 Finite differences and functional equations

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40 Sequences, series, summability

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41 Approximations and expansions

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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)

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43 Abstract harmonic analysis

Information Site:

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

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44 Integral transforms, operational calculus

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45 Integral equations

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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]

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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)

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49 Calculus of variations and optimal control

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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

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52 Convex and discrete geometry

Electronic journals:

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

Newsgroups:

• Geometry Newsgroup

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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

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54 General topology

Preprints:

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

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55 Algebraic topology

Preprints:

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

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57 Manifolds and cell complexes

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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

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60 Probability theory and stochastic processes

Information Site:

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

Abstracts:

• Probability Abstract Service

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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

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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

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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)

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70 Mechanics of particles and systems

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

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

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73 Mechanics of solids

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

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

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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)

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78 Optics, electromagnetic theory

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

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

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80 Classical thermodynamics, heat transfer

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

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

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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)

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82 Statistical mechanics, structure of matter

Electronic journals:

• Mathematical Physics Electronic Journal

Preprints:

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

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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)

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85 Astronomy and astrophysics

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86 Geophysics

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90 Operations research, mathematical programming

Institutions:

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

Newsgroups:

• sci.op-research

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

Organizations:

Preprints:

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92 Biology and other natural sciences

Organizations:

• Society for Mathematical Biology

Preprints:

• Complexity On-line (ANU)

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93 Systems theory; control

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94 Information and communication, circuits

Sites

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

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97 Mathematics education [section added in 2000]

Organizations:

Preprints:

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This first page of this type was a list at Trinity College Dublin made by D.R. Wilkins.
Return to the Table of Contents.