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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.

Computational_Algebra@	Computational Algebra
Category Theory	Conferences
Education	Field Theory
Geometric Algebra	Group Theory
High School	History
Linear Algebra	People
Publications	Research Groups
Ring Theory	Software
NewsGroup (Usenet)	NewsGroup (Usenet)

• A Catalogue of Lattices By Gabriele Nebe and Neil Sloane.
• A Web Resource in Mathematics Tailored help for students in Algebra.
• Abstract Algebra Lecture notes by David Wilkins at Trinity College, Dublin.
• Abstract Algebra Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.
• 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.
• Abstract and Linear Algebra A forum for students on abstract algebra and linear algebra.
• Algebra Links From Spartanburg County School District Two.
• Algebra Universalis List of Researchers Compiled by G. Gratzer.
• Algebraic Areas of Mathematics Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
• Algebraic Geometry Various lecture notes by J.S. Milne.
• All About Circuits - Boolean Algebra An introduction to boolean algebra from the perspective of electronic engineering.
• An Introduction to the Algebraic Specification of Abstract Data Types Jean Baillie, Department of Computer Science, University of Hertfordshire.
• Catalogue of Algebraic Systems. Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, and categories.
• Catalogue of Lattices A catalogue of different types with applications to packing spheres by Neil Sloane and Gabriele Nebe.
• Center for Commutative Algebra A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
• Cohomology of Modules over the Mod 2 Steenrod Algebra Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
• Complex Numbers Dave's Short Course on Complex Numbers (David Joyce).
• Course Notes by Jim Milne Algebraic number theory, Class field theory, Algebraic Geometry, Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology. TeX, DVI, PS and PDF.
• 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.
• FDLIST Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
• 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.
• Homogeneous Transformation Matrices Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
• 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.
• Intro to Abstract Algebra Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
• Lecture Notes in Algebra and Number Theory Andrew Baker, University of Glasgow.
• Macdonald Polynomial Page Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory.
• Macdonald Polynomials and the n! Conjecture Manuscripts and Publications.
• Math Forum: Algebra Problem of the Week View this week's algebra problem or those of previous weeks.
• Math Forum: Algebra Problem of the Week Past archive and solutions. Receive help from a mentor.
• 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.
• Milne, J. S. Number theory, arithmetic geometry.
• 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.
• 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.
• 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.
• VectorLand An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.

 

 

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