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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- 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.
- Abstract Algebra Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory.
- Intro to Abstract Algebra Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
- 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.
- Center for Commutative Algebra A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
- 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.
- Homogeneous Transformation Matrices Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
- Lecture Notes in Algebra and Number Theory Andrew Baker, University of Glasgow.
- 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.
- 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.
- VectorLand An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.
- Cohomology of Modules over the Mod 2 Steenrod Algebra Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
- 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.
- All About Circuits - Boolean Algebra An introduction to boolean algebra from the perspective of electronic engineering.
- Mileski Theorem A new mathematical theorem proposed by Robert Mileski.
- Octonions and Sedenions Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that are taken for granted, but do not always hold true.
- What is a Jordan-like Algebra? Includes generalizations, and algebraic geometry. Notes and links by Tony Smith.
- Macdonald Polynomials Includes information about the Ribbon Rule, as well as link about symmetric functions and representation theory.
- FDLIST Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
- A Catalogue of Lattices By Gabriele Nebe and Neil Sloane.