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  • Elements of Abstract and Linear Algebra, by Edwin H. Connell   - Full online book, in 4 formats: Abode Acrobat, DVI, Postscript, and gzipped Postscript. Can be read with Abode's free Acrobat Reader.
  • Linear Algebra WebNotes by Dr. Mark Sapir   - Complete textbook based on class notes: includes examples of how to think up proofs. Also online access to Maple software through the Web, and a Webtester which always generates different questions. However, only the pre-linear-algebra Webtests are available to the public. [Requires free registration - only takes a few seconds.]
  • 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.
  • Algebra Online - offers free private tutoring, live chat, and a message board, among many other features, for all levels of mathematics (not just Algebra)! [Warning: Site does not seem to be working properly]
  • Algebra Review in Ten Lessons - A review of (high school) algebra in ten lessons. Written in TeX and converted to PDF.
  • Algebra.Help - Online resource for students/parents/teachers, includes lessons, tutorials, and calculators.
  • Finite Rank Torsion Free Modules over Dedekind Domains - An unfinished book by Lee Lady.
  • 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.
  • Instant solutions to math problems - This site is composed of many math "fill-in-forms" into which you can type the math problem you're working on. Linked to these forms is a powerful set of math-solvers, that can instantly analyze your problem, and when possible, provide you with a step-by-step solution, all online and instantly! You don't have to wait for an email response or post your question to an electronic bulletin board and hope someone will answer it. You can get the answer to your math problem right now!
  • Intro to Abstract Algebra - Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
  • Math 101 - Concepts of Modern Algebra. Outline of the text for an introductory Algebra course.
  • Semi-Simple Lie Algebras and their Representations - A book written by Robert Cahn, in Postscript.
  • 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.")

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