[Lie Algebras] [group theory] [symbolic computations] [linear algebra] [history etc.] [TeX]

Algebra, Algebraic Geometry, Algebraic Topology

• Encyclopedia of Integer Sequences entries on a number of associative and nonassociative rings of a given (small) number of elements.
• There is no "natural" way to define a tensor product of two representations of an associative algebra.
• Gröbner bases and related algebraic geometry
• Gröbner bases bibliography
• The Frobenius Page by David Ben-Zvi (it's about x -> x^p)
• Course on cyclic homology by J.-L. Loday and M. Wodzicki.
• [!] A. Ranicki: books and collections of papers on Algebraic Topology, K-Theory, etc.
• [!] W. Crawley-Boevey, Lecture notes on various topics in representation theory of associative algebras.
• Sergei Arkhipov on 2-, 3- and n-structures à la Baez & Co.
• Rewriting systems and Diamond Lemma by Falcão.
• Everett Pitcher (talk by Don Davis outlining, among other, early steps in homological algebra).

numbers, functions, sequences, Classical Analysis

• [!] Encyclopedia of Integer Sequences
• Plouffe's invertor (identification of real numbers): [uqam.ca] [sfu.ca (older version)] [Maple interface]
• integrals.com (Wolfram)
• functions.wolfram.com (Wolfram)
• History of Approximation Theory (seminal papers, etc.)
• Fedina doska at Dept. of Math. Analysis, Leningrad Univ.
• A Bibliography of Bernoulli Numbers by Karl Dichler and Ilya Sh. Slavatskii.
• list of binomial identities by Matthew Hubbard and Tom Roby.

3x + 1

• The 3x+1 problem by Marc Chamberland.
• Computational verification of the 3x+1 conjecture by Tomás Oliveira e Silva.
• 3x+1 entry at Encyclopedia of Integer Sequences.

Differential Geometry, Differential Equations

• The World of Mathematical Equations by Andrei D. Polyanin.
• Diffiety Institute (symmetries and Spencer-like cohomology of differential equations)
• Matematika nelineinogo mira by A.M. Vinogradov.
• Modern Group Analysis VII
• [!] Richard Melrose: Index theorems and differential geometry.
• How to read about the Atiyah-Singer index theorem by sowa.

Logic, Category Theory, Graph Theory, Universal Algebra, Combinatorics

• categorical incanabula (list of all pre-1958 papers on category theory)
• Relationships between various basic mathematical structures by Max Tegmark.
• General Algebra and Lattice Theory links by Keith A. Kearnes.
• Some lists of finite structures by Peter Jipsen.
• Bibliography on n-Queens problem by Walter Kosters.
• Encyclopedia of Integer Sequences entry on numbers of solutions of n-queen problem.
• The Object Server (various combinatorial structures).
• The Foundations of Mathematics (FOM) mailing list archives.

N-body and dynamical systems

Probability and Statistics

(human language) dictionaries, style guidelines, etc.

• Math. English Usage by Jerzy Trzeciak.
• English-Hebrew Dictionary of Algebra Terminology by Moshe Jardin.
• English<->Icelandic math dictionary by Magnús Halldórsson.
• Some Hints on Mathematical Style by David Goss.
• The devil's guides by D.J. Bernstein
• S.S. Kutateladze, Russian - English in Writing: Advice to the Occasional Translator [EMIS] [Vivos Voco]