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Editor's Note: This growing directory is manually maintained and automatically tested for broken links once a month. Links which appear broken for three or more consecutive months are deleted.
Should there be anything wrong with an entry, let me know and I will be glad to correct it.
Note: an entry can appear in several categories.
INSTITUTIONS, Associations and Groups
For a more generic Directory, see the Stan's links to Science Institutions.
- International:
- International Mathematical Union ().
- International Mathematical Sciences Institutes list maintained by Fields Institute.
- ISI, the International Statistical Institute.
- Math-Net, an International Information and Communication System of the IMU.
- MSC 2010, the home site of the Mathematics Subject Classification.
- W3C MathML. Home of the Math Markup Language.
- Europe:
- Abel Prize web site.
- Center for Innovation in Mathematics Teaching (CIMT) at Uni Plymouth, UK.
- Center for the Popularization of Mathematics (CPM) at Uni Wales, Bangor, UK. Great!
- Czech Mathematical Society. Czechs, click here.
- European Mathematical Information Service (EMIS).
- European Mathematical Society (EMS). New website!
- Institute of Mathematics of the Czech Academy of Science in Prague.
- Isaac Newton Institute for Mathematical Sciences in Cambridge, UK.
- London Mathematical Society (LMS).
- USA:
- American Mathematical Society (AMS). Entry door to the expensive MathSciNet.
- Center for Mathematics and Science Education (CMSE) at North Carolina University.
- Clay Mathematics Institute in Massachussets. Supports mathematics and awards prizes.
- MAA, the Mathematical Association of America.
- MSRI, Mathematical Sciences Research Institute at University of Berkeley (California) and supported by NSF.
- Netlib Repository of mathematical software, papers, and databases.
There is also a netlib mirror at Sandia National Labs.
- NIST's Math pages. Excellent.
- NSF Mathematical Sciences Institutes, a list and an access portal to all 7+ of them.
- Elsewhere:
- Bhaskaracharya Institute of Mathematics in Pune, India.
- Fields Institute in Toronto, Ontario, Canada.
- Australian Mathematical Sciences Council (AMSC), Australia.
- Australian Mathematical Society (AustMS), Australia.
- Institute for Mathematical Sciences (IMS), Singapore.
- National Committee for the Mathematical Sciences (NCMS)
of the Australian Academy of Sciences.
- Statistical Society of Australia (SSA), Australia.
- WuHan Institute of Physics and Mathematics of the Chinese Academy of Scieces.
english version.
JOURNALS, e-Zines, Forums, Libraries and Blogs
- AMS Journals.
- Biometrica. Despite the name, this Journal covers most of applied statistics.
- Czech Digital Mathematics Library offers open access to Czechoslovak Mathematical Journal, Applications of Mathematics, Archivum Mathematicum, Commentationes Mathematicae Universitatis Carolinae, and the Bolzano Collection.
- Math journals. A list maintained by AMS n(with links).
- MathDL, the MAA Digital Library.
- Open Access Mathematics Journals. Last count: 150.
- Plus Magazine ... living mathematics. A popularization initiative.
- Scientific Computing.
- e-Zines and Forums
- Convergence, where mathematics, history and teaching interact. An MAA magazine.
- Math Forum, dedicated to math teaching. Drexel University, Philadelphia.
- Math Forum library, a nice online resource.
- Mathematics at About.com.
- Plus. A nice math e-zine.
- Topology Atlas, a publisher of information related to topology.
- Blogs and personal forums:
- Abstract and Linear Algebra Forum of Edwin Connell.
- Deb Russell's blog on About. Strong in teaching and social aspects.
- Gyre&Gimble, observations on math, language and other things by Charles Wells.
- Un blog di matematica di Maurizio Codogno (in italiano).
- Jiri Lebl's blog on Wordpess.
- Mathematics Journals blog of John Ewing. Great reflections about scientific publishing.
ENCYCLOPEDIAs, Dictionaries and Wikis
DATABASES, Directories and Reference lists
- ACM Digital Library Portal.
- Constants of Mathematics and Physics.
- Czech Digital Mathematics Library offers open access to the metadata and fulltext of mathematical journals, proceedings and books published throughout history in the Czech lands. Excellent!
- DADS. Dictionary of Algorithms and Data Structures at NIST.
- Handbook of Mathematical Functions by M.Abramowitz, A.Stegun, Editors.
- Math at arXive, math articles at arXive. Huge and free.
See also Front for arXive.
- Mathematics Articles on Wikipedia, an extensive index.
- Mathematics Subject Classification, MSC (from AMS).
- National Curve Bank at California State University,
managed by Shirley Gray, Stewart Venit, and Russ Abbott. There is much more than just famous curves. Amazing.
- Sloane's database of integer sequences. 127289 entries !!!
- Statistics articles repository at arXive. Free.
- Wolfram MathWorld constants on the Eric Weissstein's site.
- Link Directories:
- BUBL Link. An amazing collection of math links, each with a brief description.
- Infinite Exponentials and Tetration. Collection of links.
- Math and Reading Help for Kids, a nice directory of math-education articles, games, etc.
- Math Forum library, a nice online resource (links).
- Math Help for all Grades, a nice directory of math-education articles.
- Math Journals. A list of Journals maintained by AMS n(with links).
- Math-Net Links to the mathematical world.
- Number Theory Web. Vancouver, Rome, Cmbridge, Tokyo.
- Platonic Solids links collected by Dan Radin.
- Webring of Mathematics.
- Books lists and similar resources:
- Alex Stefanov's list, modified and updated at the Trillia Group site. original version is still accessible at 100MB.
- AMS Books Online. Many are free or at least there are freely dowloadable Chapters.
- Cornell University Library Historical Math Monographs. Open-access resource. Excellent.
- EMS Publishing House.
- Free Online Books on Mathematics.
- Free Online Textbooks, Lecture Notes, Tutorials, and Videos on Mathematics.
Great and serious.
- FreeScience directory of free, online mathematics books.
Very valuable resource, thought it counts as books also courses and scripta.
- Math Forum library, a nice online resource (links).
- Math at the MIT Open CourseWare initiative. Free courses and books.
- Mathematics Books, a list compiled and maintained by Stan Sykora.
- Mathematics books on eKnigu in PDF and DjVu fomats. Hundreds of items.
- MSRI books on the Mathematical Sciences Research Institute site.
These are thematic collections of articles available both online and in print.
- Online Mathematics Books. List of free Math books on the web edited by Stan Sykora.
- Online Mathematics Textbooks, links to 65 on-line math texts collected by George Cain.
- Open source Mathematics Textbooks at Textbook Revolution.
- Online math books by R.B.Ash (Uni Illinois). Seven free www books and Courses.
- Textbooks in Mathematics, collected by Alex Stefanov.
A list of links to free, online math textbooks.
- Reference lists:
- Numbers, constants and computation by X.Gourdon and P.Sebah. 223 references. Nice.
- Papers by James Milne. Elliptic curves, groups,fields, cohomology, ...
- Papers by C.Pomerance. Number theory, prime numbers. 135 entries.
PRIZES and Pioneers
- Fields Medal, considered the highest award in Mathematics.
- IMU Medals. Prizes awarded by the International Mathematical Union.
- Pioneers:
HISTORY
SOCIAL aspects
EDUCATION and Fun
- A list of free online mathematics books, courses and theses
- Abstract Math website, managed by Charles Wells. Excellent.
- Ad Astra Ltd and Early History of Gravity Engineering by S.Sykora
is an amusing example of applied variational calculus.
- AP Statistics Review App for iPod/iPhone.
- Art of Problem Solving for students and their parents and teachers.
- Center for the Popularization of Mathematics (CPM) at Uni Wales, Bangor, UK.
Great, especially on knots and sculpture.
- Complex Analysis Project for undergraduates by John H.Mathews.
See the modules.
- Encyclopedia of Mathematics by E.Weisstein.
- Geometry in Action on the site of David Eppstein. Amazing and useful.
- Home site of Erich Friedman. Amazing excellent educational site.
- Home site of David E. Joyce.
- Khan Academy, open-source Math and Science videos and lessons. Amazing!. See also.
- Learn Math Online, a very nice and free resource for math teachers and students
from kindergarten to high school.
- Math Forum library, a nice online resource (links).
- Math at the MIT Open CourseWare initiative. Free courses and books.
- Math Help for all Grades, a nice directory of math-education articles.
- Math Online, a nice Gallery of college-level applets, puzzles, ... at Uni Wien, Austria.
Also im Deutch (the German version is much more complete).
- Math Planet, nice lectures and free short videos for kids.
- Math Playground, lots of stuff for kids aged 5-14.
- Mathematical Means and Averages: Basic Properties, a primer by Stan Sykora.
- MathCS, resources for anyone interested in Mathematics, Statistics, Java Programming, or Robotics.
- Mathematics Articles on Wikipedia, an extensive index.
- MIT Open Courses in Mathematics. Free.
- National Curve Bank managed by S.Gray, S.Venit, and R.Abbott at California State University,
There is much more than just famous curves. Amazing.
- Numerical Analysis Project for undergraduates by John H.Mathews.
See the modules.
- Numericana of G.P.Michon. An excellent educational site.
- Polygons and Polyhedra of Bob Alanson. Nice educational site.
- Precalculus Review App for iPod/iPhone.
- Taylor Traitor Functions an article on the dangers of Taylor expansions.
- Vasar Stats, a nice resource on statistics.
- Virtual Math Museum maintained by R.Palais. Amazing.
- Wikipedia entry on Mathematics.
- Fun:
- A simple solution to the Monty Hall problem by Jeffrey S.Rosenthal.
- Amusements in Mathematics, a shareware e-book by Henry E.Dudeney.
- Ananthapuri Mathematics jokes.
- Astounding Math Stories by Charles Wells.
- Books by Ian Stewart:
- Game, Set and Math: Enigmas and Conundrums
- Why Beauty Is Truth: A History of Symmetry
- How to Cut a Cake: And Other Mathematical Conundrums
- Math Hysteria: Fun and Games with Mathematics
- The Science of Discworld, I
- The Science of Discworld II: The Globe,
- The Science of Discworld III: Darwin's Watch
- Another Fine Math You've Got Me Into ...
- Nature's Numbers: The Unreal Reality Of Mathematics
- Does God Play Dice? The New Mathematics of Chaos
- From here to Infinity
- Letters to a Young Mathematician (Art of Mentoring)
- FunFacts at Harvey Mudd College. Excellent!
- Inverse Graphing Calculator on the nice edu site of Sam Alexander.
- Math humor at Uni Utah.
- Math puzzles made or collected by David E. Joyce:
Dave's Square Dissection puzzles,
Dudeney's Catching the Mice puzzle,
Shasha's Surprizing Strings puzzle,
Hickerson's Prime Maze puzzle.
- Mathematical Art at the Virtual Math Museum. Amazing.
- Mathematics and Sex; a book by Clio Cresswell.
- Platonic Solids site of Dan Radin. Great.
- Recreational Math, collected and created by David Eppstein.
- Some Math Quotes collected by S.Bilaniuk.
- Sheppard software. They make learning fun. Online games!
- The Geometry Junkyard, collected by David Eppstein.
- XKCD comics.
- Famous and/or Unsolved math Problems
- Mathematical Problems by David Hilbert, the famous Lecture delivered before the International Congress of Mathematicians at Paris in 1900,
edited for the web by David E. Joyce.
- Unsolved problems at MathWorld.
INFORMATION Sources, Libraries, Articles, ...
- Arithmetic Duality Theorems by James S.Milne.
Available also in printed form.
- Cornell University Library Historical Math Monographs. Open-access resource. Excellent.
- Essential Mathematica for Students of Science. A Tutorial Approach to Mastery of Mathematica by James J.Kelly.
- Geometry, Surfaces, Curves, Polyhedra at the site of Paul Bourke. Amazing.
- Handbook of Mathematical Functions by Abramowitz M., Stegun A., Editors.
- Home site of Sam Alexander is a mix of fun and education.
- Home site of John Baez.
- Home site of Ioannis Galidakis.
- Home site of Jim Hefferon at Saint Michaels' College. Very useful.
- Home site of David Joyce.
- Home site of Jiri Lebl.
- Home site of late J.F.MacDonnell with its nice treatement of the hyperpower function.
- Home site of J.Peter May. A great source on topology.
- Home site of James Milne (Ann Arbor, New Zealand). Elliptic curves, groups,fields, cohomology, ...
- Home site of Hans D.Mittelmann. A treasure trove on numerical math and optimization methods.
- IEEE 754. Floating point format.
- Infinite Ink. The continuum hypotheses.
- Interactive Mathematics. Math pages at Ngee Ann Polytechnic in Singapore.
- Math at arXive, math articles at arXive. Huge and Free.
See also Front for arXive.
- Math Topics.
- Mathematical Illustrations by Bill Casselman. Very good.
- Mathematical Constants by Steven Finch, plus a lot more. Many PDF's. Excellent.
- Mathematics Genealogy Project at North Dakota State University.
- Numbers, constants and computation by X.Gourdon and P.Sebah. Nice.
- Numericana of G.P.Michon. A rich source of information from magnificient to mundane.
- On-Line Encyclopedia of Integer Sequences by N.J.A.Sloane et al. 127289 entries !!!
- Online mathematics books. List of free Math books on the web.
- RGMIA, Research Group in Mathematical Inequalities at Victoria University.
- Wolfram MathWorld. The web's most extensive mathematics resource, at Wolfram Research.
- Libraries:
- Stan's Library section on mathematics.
- Reprints in Theory and Applications of Categories. 18 free articles and books.
- Virtual Math Library. Very useful!
- Some interesting articles:
- Approximations of Ellipse Perimeters. A Review with further references and links.
- Articles by Albert Tarantola:
= Popper, Bayes and the Inverse Problem,
= Probabilistic Approach to Inverse Problems (with Klaus Mosegaard)
= Mathematical Basis for Physical Inference (with Klaus Mosegaard)
= Monte Carlo Sampling of Solutions to Inverse Problems (with Klaus Mosegaard)
= Generalized Nonlinear Inverse Problems Solved using the Least Squares Criterion (with B.Valette)
= Three-Dimensional Inversion Without Blocks (with Alexandre Nercessian)
= Noninformative Probability Density for the Elastic Tensor
and more ...
- Binary Iterated Powers. Novel concept.
- Comparison of computer algebra systems, an useful article on Wiki Slice. Lots of up-to-date links.
- Mathematics Articles on Wikipedia, an extensive index.
- MSRI books on the Mathematical Sciences Research Institute site.
These are thematic collections of articles available both online and in print.
- Numerical methods for the inversion of the Laplace transform,
a very nice page maintained by Peter Valkó.
- Surface Integrals over n-Dimensional Spheres.
- Volume Integrals over n-Dimensional Ellipsoids.
SPECIAL Topics
- Wavelets:
- Wavelets - all there is to know about them. Do not miss this resource!
- Wavelets, a 50-page paper (almost a book) by Ronald DeVore and Bradley Lucier.
SOFTWARE
- Free, open source and low-cost:
- Computing and a lot of other stuff by G.Urroz.
- Free Online Textbooks, Lecture Notes, Tutorials, and Videos on Mathematics.
See the Software section.
- Mathematical Software review on Wiki Slice. Very informative.
- MathPlayer. Plugin for Internet Explorer to read MathML. Free.
- Netlib Repository of mathematical software, papers, and databases.
There is also a netlib mirror at Sandia National Labs.
- NTL: A Library for doing Number Theory by Victor Shoup.
- PARI/GP algebraic computing system (particularly number theory).
See also a PARI/GP tutorial by Robert B. Ash.
- R Project; free environment for statistical computing. Unix, Windows, MacOS.
- S-Plus from Insightful (expensive).
- SAGE, a free mathematics software system licensed under the GPL. Uses Python.
- SCILAB, a free and good competitor of MATLAB.
- StatLib. Data, Software and News from the Statistics Community.
- Vasar Stats: Excellent website for statistical computation (by R.Lowry).
- Commercial software:
- Mathematica home (Wolfram Research). An expensive symbolic-math jewel - plus a great, free math database.
- MAGMA home. A major computational algebra system. Expensiv
- Maple home. Another major software packege to do Math. Expensive.
- MathType home. Professional version of Microsoft's Equation Editor.
- Matlab home (MathSoft). We all use it at least sometimes, of course. Expensive.
COMPANIES
EVENTS: Conferences, Meetings, ...
- ICM. Next International Congress of Mathematicians.
- Fields Institute calendar of events.
- Isaac Newton Institute for Mathematical Sciences workshops and events list.
- NSF Mathematical Sciences Institutes' list of upcoming events.
- Future events in chronological order:
- Past events in reverse chronological order:
- 5-th European Congress of Mathematics
was held July 14-18, 2008, in Amsterdam, Netherlands.
- SAC 2008, the 23th Annual ACM Symposium on Applied Computing,
was held March 16-20, 2008, in Fortaleza, Brazil.
- SAC 2009, the 24th Annual ACM Symposium on Applied Computing,
will be held March 8-12, 2008, in Honolulu, Hawaii, USA.
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