Science - Math - Algebra

Science - Math - Algebra

Home Page of J. S. Milne - Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.
Linear Algebra WebNotes by Dr. Mark Sapir - Complete textbook based on class notes. Includes examples of how to do proofs. Gives online access to Maple software. A tester generates different questions, but only the pre-linear algebra tester software is available to the public. Must register to use.
Abstract Algebra Online - Contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. Intended for undergraduate students taking an abstract algebra class at the junior/senior level, as well as for students taking their first graduate algebra course.
Intro to Abstract Algebra - Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
Finite Rank Torsion Free Modules over Dedekind Domains - An unfinished book by Lee Lady.
Elements of Abstract and Linear Algebra, by Edwin H. Connell - Full online book on abstract algebra with emphasis on linear algebra. Format: DVI, PDF, PS and gzipped-PS.
Algebra Bibliography - Available by FTP in BibTeX format.
Octonions and Sedenions - Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that we take as granted do not always hold.
IDA: Algebra Interactive - An HTML-based book by Arjeh M. Cohen, Hans Cuypers and Hans Sterk. It focuses on an algorithmic approach to algebraic structures. Many of these tools and examples use the computer algebra package GAP. Site has samples and errata.
Algebraic Areas of Mathematics - Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
A Catalogue of Lattices - By Gabriele Nebe and Neil Sloane.
Abstract Algebra - Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.
Macdonald Polynomials and the n! Conjecture - Manuscripts and Publications.
Quantum Lie Algebras - Current status of research on Quantum Lie algebras and bibliography. Includes Mathematica notebooks for calculations and animations of quantum root systems.
Robbins Algebras Are Boolean - A web text by William McCune describing the solution of this problem by a theorem-proving program, with input files and the proofs.
Center for Commutative Algebra - A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
Algebra Links - From Spartanburg County School District Two.
Dave's Short Course on Complex Numbers - An introduction with math and a little history intended for those having a familiarity with ordinary real numbers and algebra.
Abstract Algebra: The Basic Graduate Year - A downloadable text in abstract algebra at the beginning graduate level by Robert Ash.
Homogeneous Transformation Matrices - Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
Algebra Universalis List of Researchers - Compiled by G. Gratzer.
Lecture Notes in Algebra and Number Theory - Andrew Baker, University of Glasgow.
Groupoid Home Page - Maintained by Birant Ramazan at the Institute of Mathematics of the Romanian Academy.
Univalg Mailing List - Mailing list for use by the Universal Algebra community. Universal Algebra is a technical branch of mathematics related to algebra and model theory.
Cohomology of Modules over the Mod 2 Steenrod Algebra - Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
Catalogue of Algebraic Systems. - Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, categories, etc.
Math Forum: Algebra Problem of the Week - A weekly interactive project for algebra on the Internet. Challenging problems are posted and solutions appear on the Web.
Grassmann Algebra - A draft text by John Browne: Exploring applications of extended vector algebra with Mathematica. PDF.
FDLIST - Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
Real Reductive Lie Groups - Notes for lectures by Amer Habib at the Mehta Research Institute in 1997-98. DVI, PS.
Abstract and Linear Algebra - A forum for students on abstract algebra and linear algebra.
Arxiv: AC Commutative Algebra - Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
Macdonald Polynomial Page - Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory.
An Introduction to the Algebraic Specification of Abstract Data Types - Jean Baillie, Department of Computer Science, University of Hertfordshire.
GB and FGB - Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial systems.
Macaulay 2 - A new software system devoted to supporting research in algebraic geometry and commutative algebra.
Computer Algebra and Problem Solving Environments - Abstract for Stanly Steinberg's article in "Comparative CAS Reviews and Philosophy", suggesting 6 ways in which computer algebra systems could be improved.
Mathscribe - Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included.
Symmetrica - A collection of routines, written in C, for computing in the representation theory of classical and symmetric groups, and related areas. Public domain.
Groups and Graphs - A software package for graphs, digraphs, combinatorial designs, and their automorphism groups.
CLICAL - A calculator type computer program for vectors, complex numbers, quaternions, bivectors, spinors, and multivectors in Clifford algebras.
CoCoA - A special-purpose system for computations in Commutative Algebra.
Fermat - Computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. Free download. Documentation.
Comparison of Polynomial-Oriented Computer Algebra Systems - By Robert H. Lewis and Michael Wester. Presented as a poster to the 1999 ISSAC Conference.
Algebra Problem Solver - Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.
Macaulay - Macaulay is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations.
CMAT - A matrix calculator program, written in C. Calculations can be performed on matrices with complex rational coefficients using exact arithmetic routines, as well as on matrices with elements mod p.
Sheafhom - Tools for computation in the category of combinatorial sheaves. It is intended for research involving complexes of sheaves and the derived category.
GiNaC - An open framework for symbolic computation within the C++ programming language. The name GiNaC is an iterated and recursive abbreviation for "GiNaC is Not a CAS", where CAS stands for Computer Algebra System. Its design is revolutionary in a sense that contrary to other CAS it does not try to provide extensive algebraic capabilities and a simple programming language but instead accepts a given language (C++) and extends it by a set of algebraic capabilities. It is published under the GNU Public License (GPL).
FRISCO - A Framework for Integrated Symbolic/Numeric Computation - The FRISCO project aims to develop highly efficient, versatile polynomial solvers for industrial users.
LAPACK -- Linear Algebra PACKage - written in Fortran77; provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems.
SymbolicNet - Directory of links on Symbolic Algebraic Computation: Frequently Asked Questions, Live Demos, software for download, events, bibliography, research groups, and researcher directory.
Aldor - Originally an extension to Axiom, now a separate product. Binaries are available free for non-profit use, with documentation, tips, projects and links.
Online Gröbner Basis Calculations - Online computation of reduced ideal bases.
Algebra Word Problem Tutor:Miss Lindquist - The world's first web-delivered self-improving intelligent tutoring system able to tutor students in writing expressions for algebra word problems.
KAN - Rings and Computer algebra software, part of OpenXM.
LAPACK++: Linear Algebra Package in C++ - (v. 1.1a) a software library for numerical linear algebra; however, it does not include all of the capabilities of original f77 LAPACK.
SINGULAR - Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
Felix - Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix.
AXIOM - Symbolic solver complete with a high-level interactive language, user extensible library and visualisation tool for the manipulation of graphical output. For Unix and Windows. No longer produced: support ceases at the end of 2001.
WinCoCoA Home Page - A version of CoCoA for Windows.
Combinatorial Representation Theory (CREP) - CREP is designed to deal with categories whose morphism spaces are finite-dimensional over a field k. The main example of a category with this property is the category of finite-dimensional representations of an associative unital k-algebra.
Vector Enumerator - A program by Steve Linton which constructs finitely-presented modules for finitely-presented algebras over certain fields and rings.
HartMath - An experimental computer algebra system written in Java and available free under GPL.
A Tutorial Introduction To AXIOM - By Martin N. Dunstan.
MathPad - Scientific Matrices Calculator - Java applet based online Matrix calculation program for analyzing various simultaneous equations.
Computer Algebra Benchmarks - Collated by Computer Algebra Fachgruppe, Mannheim.
Computer Algebra Pages and Servers - A collection of links.
GIAC - Is A Computer algebra system. A semi-classical CAS by Bernard Parisse, available for Windows, Linux.
MAS - The Modula-2 Algebra System - MAS is an experimental computer algebra system with algebraic specification capabilities for the design and study of algebraic algorithms. Downloads, documentation.
JACAL - An interactive symbolic mathematics program. JACAL can manipulate and simplify equations, scalars, vectors, and matrices of single and multiple valued algebraic expressions containing numbers, variables, radicals, and algebraic differential, and holonomic functions. Linux RPM distribution.
Math Forum - Algebra Software - Algebra software resources compiled by The Math Forum.
Matrix Expression Templates (MET) - C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.
Math::MatrixReal - A Perl module for manipulating NxN real matrices.
ZEN - A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.
GAP - Groups, Algorithms and Programming - A free system for computational discrete algebra.
Edu2000 Visual Algebra - Designed to ease the difficulties many students experience during the transition from arithmetic into the world of algebra using visualization. Covers linear and quadratic equations.
Algebra Cheat - Program solves variable equations and gives explanations of steps used.
Schur - A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.
LOWX - Parallel "low-index subgroups algorithm" software for finding all subgroups up to given index in a finitely-presented group. Download documentation and binary distribution for the Linux/i386 and Sparc/Solaris platforms.
Yet Another Computer Algebra System - A general purpose easy program for It is built on top of its own programming language designed for symbolic manipulation of math symbols. Includes information on how to use the software.
Math Symbolic Library - Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression. [OpenSource]
Software for Computing Primitive Polynomials. - Free C software for computing primitive polynomials of degree n modulo p for p^n up to about 2^60.
REDUCE IDE - Integrated Development Environment for the REDUCE computer algebra system within the GNU Emacs editor. Free download, documentation.
Codemist REDUCE - Distribution information for the REDUCE computer algebra package.
REDUCE - Program for general algebraic computations of interest to mathematicians, scientists and engineers. Over 20 years old. Comes with full source code. Site even lets you run REDUCE remotely on their machine, to test it out.
The Reduce Computer Algebra System - An interactive program designed for general algebraic computations of interest to mathematicians, scientists and engineers.
The Electronic Journal of Linear Algebra - Published by the International Linear Algebra Society (ILAS). A refereed all-electronic journal. Full text, free.
Journal of Lie Theory - Full text, free.
Journal of Algebra and Its Applications - (World Scientific) This new journal will publish papers both on theoretical and on applied aspects of Algebra. Author, subscriber information. Contents available by email.
Journal of Algebra - Contents, abstracts from vol.154 (1993). Text to subscribers only.
Linear and Multilinear Algebra - Table of contents from volume 1.
Semigroup Forum - Editor's page: author information.
International Journal of Algebra and Computation (IJAC) - World Scientific. Contents, abstracts from vol.10 (2000). Full text to institutional subscribers.
Representation Theory - Contents, abstracts from vol.1 (1997). Full text to subscribers.
Algebras and Representation Theory - (Kluwer) Contents and abstracts, all volumes. Full text to subscribers.
Discussiones Mathematicae - General Algebra and Applications - Contents and abstracts from vol.15 (1995) on.
Linear Algebra and Its Applications - (Elsevier) Abstracts from vol.214 (1995), full text to subscribers.
Finite Fields and Their Applications - (Academic Press) Abstracts of all volumes. Full text to subscribers.
Journal of Group Theory - (de Gruyter) Table of contents of all volumes, full text to registered subscribers.
International Journal of Commutative Rings - (Nova) Author and contact information.
Journal of Pure and Applied Algebra - Editor's page. Contents of latest issues, author and subscription information.
Algebra Colloquium - (Springer) A quarterly journal of the Chinese Academy of Sciences, Beijing. Table of contents, abstracts and text for vol.7 (2000) only.
Applicable Algebra in Engineering, Communication and Computing - (Springer) Tables of contents and abstracts from vol.6.4/5 (1995) on. Full text to subscribers from vol.8 (1997) on.
Journal of Pure and Applied Algebra - (Elsevier) Tables of contents from vol.91 (1994) on. Full text to subscribers.
Semigroup Forum - (Springer) Tables of contents from vol.55 (1997) on. Full text to subscribers via LINK.
Adams, William W. - University of Maryland. Groebner bases; Computer algebra.
Hanaki, Akihide - Shinshu University. Representation Theory of Finite Groups; Algebraic Combinatorics; Computational Algebra.
Holt, Derek - University of Warwick. Group theory.
Prasad, Amritanshu. - Automorphic forms for function fields, representation theory of groups over non-archimedean local fields.
Weibel, Charles - Rutgers. Algebraic K-theory, homological algebra. On-line texts and notes in algebra, history; journal information.
Bergeron, François - Department of Mathematics. University of Quebec at Montreal. Research interests include Macdonald polynomials and computer algebra.
ArXiv Front: GR Group Theory - Group theory section of the mathematics e-print arXiv.
New York Group Theory Cooperative - Software (Magnus), preprints, meetings, links. Magnus - a graphically-oriented system for computational group theory - allows one to explore and experiment with abstract groups without the need for learning yet another programming language. Magnus is freely available software (GPL) based on Tcl/Tk.
Group Pub Forum Home Page - These are the community pages for Group Theory, the mathematics of symmetry. Group Theory is a branch of algebra, but has strong connections with almost all parts of mathematics.
Symmetric Presentations - Some presentations of groups (symmetric or otherwise).
People in Geometric Group Theory - List of scholars in the field of Geometric Group Theory.
Topological Methods in Group Theory - Table of contents only; draft chapters can be downloaded by arrangement.
Coxeter/Weyl Tutorial - A Tutorial Introduction to the Coxeter and Weyl Packages, a pair of Maple packages for working with root systems, finite Coxeter groups and Weyl characters
Symmetry Groups in Maple V - A worksheet by W.D. Joyner.
International Society for Group Theory in Cognitive Science - Group theory in: Robotics, Problem-Solving, Planning, Learning, Language, Perception, Art, Design, Engineering, Manufacturing, Epistemology, Measurement, Computation, Neuroscience, Anthropology, Semiotics.
Mod-2 Cohomology of 2-Groups - Computer calculation of the mod-2 cohomology of groups of order 8, 16, 32 and 64.
GAP - Groups, Algorithms and Programming - GAP is a free system for computational discrete algebra.
The Moonshine Page - Bibliography, meetings.
Permutation Group Problems - Compiled by Peter Cameron.
Semigroup Theory - Directory of home pages and conferences maintained at Southampton University.
Symmetry - The main point group symmetries of interest to defect physics by operation (reflection, rotations etc) and classification (trigonal, cubic etc). Most point groups also have the associated character table on-line.
Permutation Groups Resources - Web-based resources for permutation groups and related areas in group theory and combinatorics.
The North British Quantum Groups Collective - The North British Quantum Groups Collective meets regularly to discuss research in quantum groups, with the aim of disseminating recent results and exchanging ideas and information on the subject.
Introduction to Group Theory - A fairly easy to understand tutorial. Fourteen sections, including groups, Cayley tables, subgroups, cosets, Lagrange's theorem, cyclic groups and subgroups, permutations, and Rubik's cube.
Papers by R. E. Borcherds - Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
Trinomials with Interesting Galois Groups - Parametrisation of trinomials with Galois groups contained in the simple group G168.
What is Moonshine? by Richard Borcherds - A multimedia web seminar: slides and audio.
Binary Coordinate Systems - Article by Steven H. Cullinane. Defines "Cartesian" coordinate systems for small finite geometries over the two-element field, and discusses geometrically simple generators for affine group actions.
Why Are Braids Orderable? - An evolving text by Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen, and Bert Wiest: describing the techniques used to prove that Artin's braid groups enjoy a left-invariant linear ordering. Comments and contributions are welcomed. PS/PDF.
PARGAP - Parallel GAP/MPI (ParGAP/MPI), a share package for GAP. UNIX (or Cygwin/Windows). Download source and documentation by FTP.
Open Problems in Group Theory - Part of the Magnus project. Contains over 150 problems in group theory, both well known and relatively new.
Group Action Forum - Association for the study of the theory of transformation groups and related topics. Members, news, events, publications.
ATLAS of Finite Group Representations - Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups. Available by FTP in alternative formats: Meataxe ASCII, Meataxe binary, and GAP.
Character Tables for Chemically Important Point Groups - By Achim Gelessus, Mainz.
Groups of Small Order - A list of isomorphism classes and further information on groups of order up to 30, by John Pedersen, University of South Florida.
Numbers of Small Groups - The good people at GAP, in particular Hans-Ulrich Besche and Bettina Eick have produced an explicit GAP catalogue of all the groups of order up to 1000 (with the exception of the orders 512 and 768). This table simply gives the number of groups contained in their catalogue, so you can quickly figure out how difficult your task is likely to be.
Collapsed Adjacency Matrices, Character Tables and Ramanujan Graphs - A database of character tables of endomorphism rings.
Notes on Linear Algebra - By Lee Lady: available in PDF, PS or DVI.
Linalg.org - Exact linear algebra computation tools and downloads.
Linear and Multilinear Algebra, Matrix Theory - An informative description of the subject of linear algebra and all of its subfields from the Mathematical Atlas.
Linear Algebra and Applications Textbook - Online text, each page is a GIF format image.
Elements of Abstract and Linear Algebra - An online textbook on abstract algebra with emphasis on linear algebra.
Linear Algebra Textbook - By Jim Hefferon. Free for downloading: covers the material of an undergraduate first linear algebra course.
Linear and Multilinear Algebra - Includes information on subscription, paper submission, and table of contents.
Elementary Linear Algebra - Online Lecture Notes (PostScript) by Keith Matthews, 1991.
Abstract Linear Spaces - From the History of Mathematics project.
Linear Algebra Toolkit - Step by step solutions of problems such as Gauss-Jordan reduction, calculating the determinant, and finding a basis of a space spanned by given vectors.
Matrix Multiplication - An interactive micro-course for beginners, by Hans Lundmark. (Uses JavaScript.)
Topics in Linear Algebra - An approach unifying the notions of system of equations, matrix inversion, and linear programming.
Lyryx Interactive Linear Algebra - Contains narrated and animated lessons, interactive exploration and computational tools, and an assessment system providing feedback to guide student learning.
Counterexamples in Clifford Algebras - Pertti Lounesto refutes propositions in the recent literature on Clifford algebras, spinors, spin groups and exterior algebra.
International Clifford Algebra Society - Includes an abstracts mailing list, information on events and back copies of the journal "Advances in Applied Clifford Algebras".
Geometric Algebra and its Applications in Mathematical Physics - C.J.L. Doran's thesis on applications of Clifford algebras. Downloadable in PostScript format.
Advances in Applied Clifford Algebras - This journal publishes research papers and notes, expository and survey articles, book reviews, reproduces abstracts and also reports on conferences and workshops in the area of Clifford Algebras and their applications to other branches of mathematics and physics, and in certain cognate areas.
Cinderella - A series of Java applets for illustrating principles of this formalism.
CLICAL for Clifford Algebra Calculations - Includes an introduction and examples of how to solve problems using this Maple package, as well as downloads of the software.
Clifford - A Maple package for computations in Clifford algebras of an arbitrary bilinear form. Includes documentations of new features and installation information, as well as downloads of the software.
Clifford Research Group -- University of Gent - Includes contact details and a list of publications.
The CLU Project - Aims to produce tools for use with Clifford algebra. Includes information on the visualisation libraries and calculators produced, as well as downloads.
GABLE: A Matlab Geometric Algebra Tutorial - Includes downloads of the program and tutorial text, as well as slides of a presentation.
Gaigen - A program for generating implementations of this mathematical formalism. Includes an introduction, documentation and downloads.
Geometric Calculus Research and Development - Includes a brief introduction, articles and book chapters on the subject, as well as references to further information.
Maths for (Games) Programmers: Multivector Methods - An introduction on this formalism and its applications in space-time.
University of Cambridge: Geometric Algebra Research Group - Includes a list of group members, links to relevant articles and a set of course materials, list of publications and links to relevant conferences and other sites.
Advances in Applied Clifford Algebras - Publishes original research papers and also notes, expository and survery articles, book reviews, reproduces abstracts and also reports on conferences and workshops in the area of Clifford Algebras and their applications. All papers pass through a refereeing system; in case of doubt of controversy, a second opinion is sought.
Category Theory - This expository article is an entry in the Stanford Encyclopedia of Philosophy.
Paul Taylor's Home Page - Includes papers on category theory.
Categories, Quantization, and Much More - Introductory article by John Baez.
Applied and Computational Category Theory - A brief description of category theory, and some useful links.
The Computational Category Theory Project - The aim of the project is the development of software on a wide variety of platforms for computing with mathematical categories and associated algebraic structures.
Category Theory and Homological Algebra - In the "known maths" series.
A Gentle Introduction to Category Theory - Lecture notes by Maarten M. Fokkinga introducing some important notions from category theory, in particular adjunctions. Proofs are given in a calculational style, and the (few) examples are taken from algorithmics. The text is a long PostScript file.
Categorical Geometry Homepage - This site contains online books and research papers on the subjects of categorical algebra, categorical logic, categorical geometry, lattice theory, universal algebra, algebraic geometry.
Structures Directory - Email directory of logicians, algebraists, and programming linguists working primarily on structural problems in mathematics and computer science.
Category Theory - Directory and resource site.
Toposes, Triples and Theories - By Michael Barr and Charles Wells, 1983. A revised and corrected version is now available free for downloading. Formats: DVI, PDF, PostScript.
Descent and Category Theory Connections - Maintained by M. Alsani.
Open Problems on Model Categories - Problems on model categories listed by Mark Hovey at Wesleyan University.
Computational Category Theory Project - The aim of this project is the development of software on a wide variety of platforms for computing with mathematical categories and associated algebraic structures.
Categories Home Page - Web page for the category theory mailing list.
Categorical Myths and Legends - An archive of stories about category theorists.
CT Category Theory - Section of the e-print arXiv dealing with category theory, including such topics as: enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
PSSL71 - Peripatetic Seminar on Sheaves and Logic. UCL, Louvain-la-Neuve, Belgium; 16--17 October 1999.
CatMAT 2000 - Categorical Methods in Algebra and Topology - Commemorating 25 years of Category Theory in Bremen. University of Bremen, Germany; 21--25 August 2000.
CT99 - University of Coimbra, Portugal; 19--24 July 1999.
School on Category Theory and Applications - University of Coimbra, Portugal; 13--17 July 1999.
CT95 - Canadian Mathematical Society Annual Seminar. Dalhousie University, Halifax, Canada; 9--15 July 1995.
CTCS'97 - 7th conference on Category Theory and Computer Science. S. Margherita Ligure, Italy; 4--6 September 1997.
CTCS'99 - 8th conference on Category Theory and Computer Science. Edinburgh, Scotland, UK; 10--12 September 1999.
Applications of Category Theory to Computer Science - Mount Allison University, Sackville, NB, Canada; 8--12 June 1998.
Category Theory OctoberFest - McGill University, Montreal, Canada; 16--17 October 1999.
CT2000 - Villa Olmo, Como, Italy; 16--22 July 2000.
Union College Conference on Algebraic Topology and Category Theory - Union College, Schenectady, NY, USA; 29--30 September 2001.
Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories - Workshop, Fields Institute, Toronto, Canada; 23--28 September 2002.
CTCS'02 - Category Theory and Computer Science. University of Ottawa, Ontario, Canada; 15--17 August 2002.
Applied Categorical Structures - Contents from vol.3 (1995).
Theory and Applications of Categories (TAC) - An electronic journal of category theory. Full text, free.
(South Africa) Cape Town Research Group - Universities of Cape Town, Stellenbosch and the Western Cape. Members, activities, outputs, links.
(Canada) Atlantic Category Theory Seminar - ATCAT - Dalhousie University, Halifax. Weekly meetings.
(Australia) University of Sydney - Catacomb - Categories and Combinatorics Group.
Australian Category Seminar - Alternates between Sydney University and Macquarie University.
(Portugal) University of Coimbra - Categories at Coimbra. Members, meetings, reports, resources.
(Canada) McGill University - Category Theory Research Centre. Announcements of weekly seminars, conferences, and other research activities in category theory.
(Germany) University of Bremen - Katmat. Research Group on Categorical Methods in Algebra and Topology. German/English site.
(Canada) Category Theory Research Center Montréal - Timetable.
(EU) Linear Logic in Computer Science - European TMR research network.
(Canada) University of Calgary - Calgary Peripatetic Research Group in Logic and Category Theory - alternates between departments of mathematics, philocophy, and computer science; meets weekly.
Commutative Algebra - A year-long programme at the Mathematical Sciences Research Institute, Berkeley, California, USA; 19 August 2002 to 16 May 2003.
International Algebraic Conference - IV International Algebraic Conference. Lviv, Ukraine; 4--9 August 2003.
International Conference on Group Theory - Combinatorial, geometric, and dynamical aspects of infinite groups. Gaeta, Italy; 1--6 June 2003.
Loops '03 - Prague, Czech Republic; 10--17 August 2003.
Finite Groups 2003 - An international conference on Finite Group Theory and related topics in honour of Professor John G. Thompson's 70th year. University of Florida, USA; 10--16 March 2003.
2003 SIAM Conference on Applied Linear Algebra (LA'03) - The College of William and Mary, Williamsburg, VA; 15--19 July 2003.
Algebras, Modules and Rings - In memory of Professor António Almeida Costa, on the centenary of his birth. Lisboa, Portugal; 14--18 July 2003.
Lattices, Universal Algebra and Applications - Lisbon, Portugal; 28--30 May 2003.
Alfred Goldie 80th Birthday Conference - A one day conference to celebrate the 80th birthday of Professor A.W. Goldie and review some recent developments in noncommutative noetherian ring theory. Mathematics Department, University of Glasgow; Monday 9th April 2001.
Conference on Groebner Bases - Guanajuato, Mexico; 8--12 February 1999.
Mid-Atlantic Algebra Conference - Topics: Down-Up Algebras; Extended Affine Lie Algebras. Virginia Tech, Blacksburg; 10--11 March 2001.
3rd Postgraduate Group Theory Conference - Department of Mathematics, Imperial College, London; 18--20 April 2001.
Sixth International Conference on Finite Fields and Applications (Fq6) - Oaxaca, Mexico; 21--25 May 2001.
AIAD2001 - All Ireland Algebra Days 2001 - Focus on interrelations and interfaces within Algebra. Queens University, Belfast; 16--19 May 2001.
5th Budapest--Chemnitz--Praha--Torun Conference in Algebra - Budapest, Hungary, June 14-16, 2001.
Antalya Cebir Gunleri III - Antalya Algebra Days III - The third in a sequence of annual conferences organized in Antalya whose aim is to increase interactions between Turkish mathematicians working in various fields of Algebra, and in particular to create relations between Turkish Mathematicians and mathematicians from other countries. Bilkent Hotel, Kemer, Antalya; 16-20 May 2001.
Fifth International Conference on Finite Fields and Applications - University of Augsburg, Germany; 2--6 August 1999.
Second Honolulu Conference on Abelian Groups and Modules - University of Hawaii, Honolulu; 25 July -- 1 August 2001.
AAA62 - 62nd Workshop on General Algebra. Linz, Austria; 14--17 June 2001.
9th International Conference on Groups and Group Rings - Bialystok, Poland; 18--23 June 2001.
Algebraic Groups in Vogue - Fakultät für Mathematik, Universität Bielefeld, Germany; 19 -- 21 June 2001.
North German Group Theory Colloquium - Fachbereich für Mathematik und Informatik, Universität Kassel, Germany; 22--23 June 2001.
3rd Algebraic Conference in Ukraine - 2 to 8 July 2001 in Sumy.
Finitely-presented Groups: Questions and Algorithms - Department of Mathematics, University of Trento, Italy; 23--26 July 2001.
Semigroups, Algorithms, Automata and Languages - Thematic term. Coimbra, Portugal; May--July 2001.
Fourth SIAM Conference on Linear Algebra in Signals, Systems and Control - Boston, MA, USA; 13--15 August 2001.
Algebra and Discrete Mathematics - A Euresco conference on the interplay between model theory, infinite combinatorics and various subfields of algebra. Hattingen, Germany; 18 -- 23 August 2001.
ACMMPC - Mathematics for Information Technology Summer School and Workshop on Algebraic and Coalgebraic Methods in the Mathematics of Program Construction. Lincoln College, Oxford, UK; 10--14 April 2000.
Homological Invariants in Representation Theory - University of Ioannina, Greece; 16-20 March 1999. Abstracts.
Groups St Andrews 2001 in Oxford - Oxford, UK; 5--18 August 2001.
AAA61 - 61st Workshop on General Algebra (Arbeitstagung Allgemeine Algebra). Darmstadt, Germany; 2--4 February 2001.
Homological Conjectures for Finite-dimensional Algebras - Summer School. Nordfjordeid, Norway; 12--19 August 2001.
A Course in Tame Congruence Theory - Budapest, Hungary; 2--13 July 2001. Photos.
Intermediate Problems of Model Theory and Universal Algebra - Erlogol, NSTU, Novosibirsk, Russia; 24--30 June, 2001.
Arbeitstagung Allgemeine Algebra - (Workshop on General Algebra). List of past conferences.
General Algebra and Ordered Sets - Summer School. Stara Lesna, Slovakia; 2--8 September 2001.
Conferences of Young Algebraists - Organised by the Potsdam group of algebraists. Dates, photos.
ESSGT 2001 - The 11th European Summer School in Group Theory. CIRM, Marseille-Luminy, France; 2--13 July 2001.
Galois Connections - Potsdam, Germany; 15--18 March 2001.
Mal'tsev Meeting 2001 - Novosibirsk, Russia; 21--23 November 2001.
Instructional School On Linear Algebra - Harish-Chandra Research Institute, Allahabad, India; 3--15 December 2001.
LAQ'2001 - 2001 Annual Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations. University of Auckland, New Zealand; 7--10 December 2001.
Twente Conference on Lie Groups - University of Twente, Enschede, The Netherlands; 17--19 December 2001.
Combinatorial Matrix Theory - POSTECH, Pohang, Korea; 14--17 January 2002.
AAA63 / CYA17 - 63rd Workshop on General Algebra (Arbeitstagung Allgemeine Algebra) combined with 17th Conference for Young Algebraists. University of Kaiserslautern, Germany; 22--24 February 2002.
ICAA2002 - International Conference on Algebra and its Applications. Chulalongkorn University, Bangkok, Thailand; 18--20 March 2002.
ACACSE'99 - Applied Clifford Algebra in Cybernetics, Robotics, Image Processing and Engineering International Workshop. A Special Parallel Session of the 5th International Conference on Clifford Algebras and their Applications in Mathematical Physics. Ixtapa, Zihuatanejo, Mexico; 27 June -- 4 July 1999.
Workshop on Rings - University of Warwick, UK; 7 April 2002.
Applied Geometrical Algebras in Computer Science and Engineering - Geometrical (Clifford) algebras and their applications. Newnham College, Cambridge, UK; 9--13 July 2001.
CGG III - Workshop on Discrete Groups and Geometric Structures (Crystallographic Groups and their Generalisations III). Kortrijk, Belgium; 22--24 May 2002.
International Conference on Modern Algebra - Vanderbilt University, Nashville, TN, USA; 21--24 May 2002.
Lie and Jordan Algebras, their Representations and Applications - Guaruja, São Paulo, Brazil; 13--18 May 2002.
Linear Algebraic Groups and Related Topics - Bernoulli Institute, Lausanne, Switzerland; 29 April -- 3 May 2002.
6th International Conference on Clifford Algebras - Tennessee Technological University, Cookeville, Tennessee, USA; 20--25 May 2002.
4th Panhellenic Conference on Algebra and Number Theory - University of Patras, Greece; 30 May -- 2 June 2002. On-line registration.
Algebra Venezia 2002 - Venice International University, Island of San Servolo, Venice, Italy; 3--8 June 2002.
LAW´02 - 3rd Linear Algebra Workshop, Bled 2002. Hotel Golf, Bled, Slovenia; 4--13 June 2002.
10th ILAS Conference 2002 - The Tenth Conference of the International Linear Algebra Society: the theme is "Challenges in Matrix Theory", encompassing all branches of linear algebra and matrix theory. Auburn, Alabama, USA; 10--13 June 2002.
Seventh Meeting on Computer Algebra and Applications (EACA-2001) - The main goal of this series of Meetings on Computer Algebra and Applications (EACA) is to provide a forum for researchers on Computer Algebra as well as for researchers who essentially use these techniques in their investigations. Ezcaray, La Rioja, Spain; 12--14 September 2001.
Universal Algebra and Lattice Theory - Dedicated to the 70th Birthday of Béla Csákány. Szeged, Hungary; 22--26 July 2002.
ICRA-X - International Conference on Representations of Algebras and Related Topics. Fields Institute, Toronto, Canada; 15 July -- 10 August 2002.
Groups, Representations and Cohomology - AMS - IMS- SIAM Joint Summer Research Conference. Mount Holyoke College, South Hadley, Massachusetts, USA; 6--14 June 2002.
Constructive Galois Theory - MSRI, Berkeley, CA, USA; 4--8 October 1999. Streaming video and lecture notes.
Linear Algebra and Applications (LAA 2002) - 3rd WSEAS International Conference. Miedzyzdroje, Wolin Island, Poland; 1--5 September 2002.
Introductory Workshop in Commutative Algebra - MSRI, Berkeley, CA, USA; 9--13 September 2002.
Topics in Linear Algebra - Iowa State University, USA; 13--14 September 2002.
Polynomial Identities in Algebras - St. Johns, Newfoundland, Canada ; 29 August -- 3 September 2002.
Applied Algebra and Combinatorics - Fourth annual Mt. Baldy Mathematics Conference. Harvey Mudd College, Claremont, CA, USA; 2 November 2002.
Galois Theory - Conference in honor of John Thompson's 70th birthday. University of Florida, Gainesville, FL, USA; 4--8 November 2002.
Groupoidfest 2002 - Eighth annual workshop on Groupoids and their Applications to C* Algebras, Geometry, and Physics. University of Nevada, Reno, USA; 9--10 November 2002.
Twenty Years of Tilting Theory - Fraueninsel, Germany; 18--22 November 2002.
Commutative Algebra: Local and Birational Theory - MSRI, Berkeley, CA, USA; 2--6 December 2002.
Semigroups and Languages - Lisboa, Portugal; 27--29 November 2002.
Representation Theory of Algebras - Information about meetings, maintained by the BIREP group, University of Bielefeld.
Commutative Algebra Conferences - Announcements of forthcoming conferences, listed at the Center for Commutative Algebra.
Group Theory Conference Information - Forthcoming conferences and gatherings of possible interest are listed in chronological order.
(Belgium) Limburgs Universitair Centrum - LUC Algebra Group. Major areas of research include: Non-commutative geometry; Invariant theory; Group algebras and Schur algebras; Lie algebra; Maximal orders.
(EU) Invariants and Representations of Algebras - European research network involving IUA Antwerp, Bielefeld-Chemnitz, Essen, Leeds, Paris VI and Trondheim; Edinburgh-Glasgow, Ioannina, Murcia and Torun.
(UK) University of Leeds - Algebra Seminar.
(Austria) Johannes Kepler Universität Linz - Applied Algebra Group in the Department of Algebra, Stochastics and Knowledge-based Mathematical Systems. There is a particular emphasis on near-rings.
(UK) University of Oxford - Algebra Research Group.
(USA) University of Wisconsin-Milwaukee - Algebra Group. People, research areas, seminars.
(UK) B L O C - The Bristol Leicester Oxford Colloquium encourages research collaboration in the Representation Theory of Algebras between mathematicians at Bristol, Leeds, Leicester, Liverpool, Oxford and Sheffield.
(Germany) Bielefeld BIREP - Representations of Finite Dimensional Algebras and Quantum Groups.
(UK) Workshop on Rings - Workshop on Rings is a seminar involving the Universities of Bristol, Leeds, Sheffield and Warwick and supported by a London Mathematical Society Scheme 3 grant.
(Portugal) Universidade de Lisboa - Centro de Álgebra. Events, members, projects, links.
(Netherlands) University of Nijmegen - Subfaculty of Mathematics, Department of Algebra. Research groups: symbolic algebra, K-theory, polynomial mappings.
(India) Indian Institute of Technology, Bombay - Commutative Algebra Seminar. Meetings.
(Germany) Dresden University - Institute of Algebra.
(USA) Capital Region Algebra/Number Theory Seminar (CRANTS) - A regional seminar for the greater Capital District of New York (the area of Albany, Saratoga Springs, Schenectady, and Troy) devoted to number theory, algebra, and related topics in mathematics.
(UK) Workshop on Rings - A seminar involving the Universities of Bristol, Leeds, Sheffield and Warwick.
(UK) LOW Study Group - The Leicester Oxford Warwick Study Group in Algebraic Lie Theory. Meetings.
(UK) University of Warwick - Algebra Research Area. Members, specialist topics, meetings.
(Norway) University of Science and Technology, Trondheim - Department of Mathematics Sciences, Representation Theory of Algebras group. A member of the EU network "Invariants and Representations of Algebras". Members, preprints, resources.
Field Theory -- from MathWorld - Directory of articles on Field Theory.
Field Arithmetic Archive - This archive stores electronic preprints on the arithmetic of fields, Galois theory, model theory of fields, and related topics.
Field Theory and Polynomials - Section 12 of the Mathematical Atlas by Dave Rusin.
Galois Theory - Lecture notes and glossary by Gavin Wraith.
Math Forum - Fields - A catalogue of Web sites and Web pages relating to Fields.
Solving the Quintic by Iteration - Peter Doyle and Curt McMullen. Web text chatracterising equations that can be solved using iterated rational maps: the Galois group must be within A5 of soluble.
The Solution to the Quartic Equation - This site has the general algebraic solution to the quartic equation. It also has an example on how to solve the equation that Lodovico Ferrari solved (Ferrari discovered the solution).
Solving the Quintic with Mathematica - Methods to solve algebraically several quintic equations. Though quintics cannot generally be solved in terms of finite sums of radicals, they can be solved as infinite series, for example. (Designed as an "on-line poster.")
The Valuation Theory Home Page - A forum for all mathematicians who work in or use valuation theory. Directory of people, meetings, preprints, bibliography, open problems and news.
Galois Field Package - Allows the use of many Mathematica functions over finite fields without any modification; e.g solving linear equations, inverses, determinants, derivations, resultants. By Ryoh Fuji-Hara, University of Tsukuba. Package and documentation are available for download.
Two Gauss Sums on Galois Fields - Results, examples and a conjecture by Stephen Wynn.
Group Photographs from Noncommutative Ring Theory Meetings - Taken by Tim Hodges.
arXiv Front: RA Rings and Algebras - Rings and algebras section of the mathematics e-print arxiv.
Associative Rings and Algebras - Section 16 of Dave Rusin's archive of known mathematics.
Basic Books on Rings and Modules - A reading list by Lee Lady, University of Hawaii.
Nonassociative Rings and Algebras - Section 17 in Dave Rusin's Mathematical Atlas.
The Commutative Ring Theory Webring Home Page - A webring devoted to pages concerning commutative ring theory.
Ring Theory Resources - Compiled by A.D. Bell.
Educational - The Math Courses are completely online with interactive lessons. Courses offered are: Basic Math/Pre Algebra, Elementary Algebra, Intermediate Algebra, Geometry, Test Prep Course, (ELM, GRE, SAT, etc), and Adult/Reentry Student Prep Course.
WebMath - A set of tutorials on various topics in introductory mathematics, as well as free software.
Algebra Review in Ten Lessons - Review of (high school) algebra. Acrobat Reader required.
Stroh MathPage - Organized, easy to understand, help with math, specifically algebra
Purplemath - Includes illustrated tutorials, categorized links, homework guidelines, and a study skills survey.
Algebra - Mathematical Abstraction from Concrete Experience - An explanation of how the Montessori student learns algebra while interacting with manipulatives, physical objects, represented by expressions incorporating the numerals and variables of mathematics.
Algebra Wizard - Free e-zine, Algebra Times, helps students, teachers and homeschoolers with algebra.
MathDork - Math, Algebra interactive turtorials - Unique learning experience using animation to make math more intuitive and fun. Animated images, sounds create a visually appealing experience that draws the student into the material.
Algebra Online Learning Sites - Algebra and math site links in a table to help you find various math subjects from algebra to calculus, algebra games to quizzes.
Algebra Help - Free and easy to understand.
Virginia Algebra Resource Center - Provides teachers and students with resources and activities to support the Algebra I curriculum.
Algebra Homework Help, Online Solvers - Interactive homework problems. Topics include Pre-Algebra, linear Algebra and other college Algebra.
MathTV - Digital video lessons, some online or purchase on CD.
Algebra - A listing of equations and definitions in introductory algebra.
The Algebra Page - Includes lessons, calculators and worksheets.
Vector Multiplication - Calculates dot and cross products of two vectors and the angle between them.
TI-83 Graphing Calculator Help - Precalculus algebra on a TI-83 graphing calculator.
Test Yourself Algebra Flash Cards - Study system that helps the student determine which topics are not yet understood and then how to master them. On-line demonstration and ordering.
IB Math Studies: Functions 1 - Site on Functions and Relations from the IB Mathematical Studies textbook.
An Introduction to Basic Algebra - An Introduction to Basic Algebra-- from numbers to quadratic equations
Algebra Story and Word Problems - For K-12 curriculum.
Systems Of Equations Tutor - Java Applets for solving systems of 2 and 3 equations in 2 or 3 unknowns using both the elimination and determinant methods. Site also has static tutorials and a drill and practice subsystem.
Algebra Lessons - Introduction to basic concepts of algebra: the lesson, an assignment, answer key.
Theorem of Pythagoras - Demonstration of theorem of Pythagoras.
Algebra Is Arithmetic Backwards - A personal view of algebra and its relationship to economics.
VectorLand - An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.
Quadratic Equation Solver - Solves a quadratic equation in standard form to obtain real and complex roots.
Algebra Answers From Allexperts - Volunteer experts give one-on-one tutoring to help solve algebra problems. Free.
Algebra II for the Algebraically Challenged. - Algebra 2 and Trigonometry; Web page to help Algebra II students everywhere.
Speed Math - Introduction to the system of math discovered by Jakov Trachtenberg. Basic formulae are presented along with background and proofs.
Algebra Notes - Covers basic algebra laws and rules, as well as how to solve certain types of equations. Includes some area formulas.
Miss Lindquist: The Online Algebra Tutor for Word Problems - An intelligent tutoring system funded through a grant from the National Science Foundation to build software that is more like human tutors. This program will tutor students presenting them with progressivly harder problems and will help me when needed.
Algebra Story Problems - A collection of simple Word Problems illustrating concept-based problem solving.
Eck - way - tions - Covers linear, quadratic, simultaneous, cubic and X^X equations.
Irrationality of the Square Root of Two - Presents the classical proof, together with a shorter one due to Richard Palais of Brandeis University.
Fundamental Theorem of Arithmetic - Article in the Platonic Realms.
Solving Story Problems - Article in the Platonic Realms.
Algebra - One On One - An educational game for those wanting a fun way to learn and practice algebra.
Understanding Algebra by James Brennan - Covers the order of operations, working with plus and negative signs, solving for unknowns, straight line and polynomial functions, cartesian coordinates and simultaneous equations. Includes topical navigation, illustrations and charts.

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