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Topia!: Science: Math: Algebra (376)
See Also:  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. 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, and categories. 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. 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.
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