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Algebra is a branch of mathematics that uses letters or other symbols to represent unknown quantities, called variables. These variables and number values are combined to form equations. The rules of these equations follow the exact same rules as arithmetic, such as the commutative and associative laws for addition and multiplication. Functions are a special type of equation, where one variable can be uniquely defined in terms of the other. Another part of this topic is graphing of equations and functions using the Cartesian coordinate graph or polar coordinates. Also, covered in this topic is set theory or what constitutes a grouping of numbers.

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Links:

Intro to Abstract Algebra Paul Garrett's detailed and comprehensive lecture notes in abstract algebra. www.math.umn.edu/~garrett/m/intro_algebra/index.shtml

A Catalogue of Lattices By Gabriele Nebe and Neil Sloane. www.research.att.com/~njas/lattices

Algebraic Areas of Mathematics Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra. www.math.niu.edu/~rusin/known-math/index/tour_alg.html

Abstract Algebra Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory. www.maths.tcd.ie/~dwilkins/Courses/311

Algebra Universalis List of Researchers Compiled by G. Gratzer. www.maths.umanitoba.ca/homepages/au/Researchers.html

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 gradu www.math.niu.edu/~beachy/aaol

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. www.geocities.com/zerodivisor

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. www.win.tue.nl/~ida

Macdonald Polynomials and the n! Conjecture Manuscripts and Publications. schur.ucsd.edu/~garsia

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. www-unix.mcs.anl.gov/~mccune/papers/robbins

Center for Commutative Algebra A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists. www.commalg.org

Algebra Links From Spartanburg County School District Two. www.spartanburg2.k12.sc.us/links/algebra.htm

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. www.clarku.edu/~djoyce/complex

Homogeneous Transformation Matrices Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations. www.silcom.com/~barnowl/HTransf.htm

Lecture Notes in Algebra and Number Theory Andrew Baker, University of Glasgow. www.maths.gla.ac.uk/~ajb/course-notes.html

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. groups.yahoo.com/group/univalg

Cohomology of Modules over the Mod 2 Steenrod Algebra Robert R. Bruner, Wayne State University. Tables in PS or GIF formats. www.math.wayne.edu/~rrb/cohom

Catalogue of Algebraic Systems. Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, and categories. www.math.usf.edu/~eclark/algctlg

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. mathforum.org/algpow

FDLIST Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software. www.mathematik.uni-bielefeld.de/birep/fdlist.html

Abstract and Linear Algebra A forum for students on abstract algebra and linear algebra. www.math.miami.edu/forum/algebra

Macdonald Polynomial Page Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory. garsia.math.yorku.ca/MPWP

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. www.jmilne.org/math

All About Circuits - Boolean Algebra An introduction to boolean algebra from the perspective of electronic engineering. www.allaboutcircuits.com/vol_4/chpt_7/index.html

A Web Resource in Mathematics Tailored help for students in Algebra. www.mathshape.com

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