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Top > Science > Math > Algebra 


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 gzippedPS. Algebra Online  Free private tutoring, live chat, and a message board, for all levels of mathematics (not just Algebra). International Clifford Algebra Society  Abstracts, events, reviews. 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. Math 101  Concepts of Modern Algebra. Outline of the text for an introductory Algebra course. Algebra II for the Algebraically Challenged.  Algebra 2 and Trigonometry; Web page to help Algebra II students everywhere. 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 "online poster.") 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. SemiSimple Lie Algebras and their Representations  A book written by Robert Cahn, in Postscript. 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 HTMLbased 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  The algebraic areas of mathematics developed from abstracting key observations about our counting, arithmetic, algebraic manipulations, and symmetry. Typically these fields define their objects of study by just a few axioms, then consider examples, structure, and application of these objects. We have included here the combinatorial topics and number theory, each of which is arguably a distinctive area of mathematics; the MathMap suggests that these parts of mathematics (in shades of red) share definite affinities. Centre for Computer Algebra  A scientific institution of the departments of Mathematics , Computer Science , and Electrical Engineering at the University of Kaiserslautern. The goal of the centre is to advance and to support the use of Computer Algebra in industry, research, and teaching. A Catalogue of Lattices  By Gabriele Nebe and Neil Sloane. Ontario Research Centre for Computer Algebra (ORCCA)  Carries out fundamental research in and development of mathematical software, focusing on Computer Algebra (CA). 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. Group Photographs from Noncommutative Ring Theory Meetings  Taken by Tim Hodges. 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). Algebra Math Tutorials Interactive Animation  Mathdork to the rescue! Algebra tutorials, quizzes and games using wacky interactive animation. Get quick, success satisfaction by taking online quizzes. Site is fun and easy to use. Matrix Market  A visual repository of test data for use in comparative studies of algorithms for numerical linear algebra, featuring nearly 500 sparse matrices from a variety of applications, as well as matrix generation tools and services. Speed Math  Introduction to the system of math discovered by Jakov Trachtenberg. Basic formulae are presented along with background and proofs. Macdonald Polynomial Web Page  A collection of links to sites with information on Macdonald polynomials. 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. arXiv Front: RA Rings and Algebras  Rings and algebras section of the mathematics eprint arxiv. The Commutative Ring Theory Webring Home Page  A webring devoted to pages concerning commutative ring theory. Abstract Algebra: The Basic Graduate Year  A downloadable text in abstract algebra at the beginning graduate level by Robert Ash. Homogeneous Transformation Matrices  Explicit ndimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations. Algebra Universalis List of Researchers  Compiled by G. Gratzer. An Introduction to the Algebraic Specification of Abstract Data Types  Jean Baillie, Department of Computer Science, University of Hertfordshire. 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. Ring Theory Resources  Compiled by A.D. Bell. Algebra Answers From Allexperts  Volunteer experts give you oneonone tutoring to help you solve your algebra problems for free! Groebner Bases  Definitions and examples, with Java applet. Counterexamples in Clifford Algebras  Pertti Lounesto refutes propositions in the recent literature on Clifford algebras, spinors, spin groups and exterior algebra. Quantum Lie Algebras  Current status of the research on Quantum Lie algebras and bibliography. Mathematica notebooks for calculations with quantum Lie algebras and animations of quantum root systems.

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