Algebra is much broader than elementary algebra and can be generalized. Rather than working directly with numbers, one can work with symbols, variables, or elements of some set. Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.
Together with geometry and analysis, algebra is one of the three main branches of mathematics.
More on [ Algebra ]
Computational Algebra :: Algorithms

A Catalogue of Lattices - By Gabriele Nebe and Neil Sloane.
A Web Resource in Mathematics - Tailored help for students in Algebra.
Meta Description: [ Tailored help for students in Mathematics. ]
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.
All About Circuits - Boolean Algebra - An introduction to boolean algebra from the perspective of electronic engineering.
Meta Description: [ a complete guide to electronic circuits ]
An Introduction to the Algebraic Specification of Abstract Data Types - Jean Baillie, Department of Computer Science, University of Hertfordshire.
Meta Description: [ An Introduction to the Algebraic Specification of Abstract Data Types ]
Catalogue of Algebraic Systems. - Summary of and links to online materials concerning algebraic systems: semigroups, groups, rings, algebras, groupoids, and categories.
Center for Commutative Algebra - A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
Meta Description: [ a website devoted to the collection and dissemination of information relevant to the commutative algebra community ]
500
Cohomology of Modules over the Mod 2 Steenrod Algebra - Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
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.
404
Defining Boolean Algebra - Defines and compares the postulates and use of symbols between Boolean and regular 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.
Meta Description: [ Mathematics site of J.S. Milne; course notes, preprints, and other manuscripts. ]
Homogeneous Transformation Matrices - Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
Meta Description: [ 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.
Meta Description: [ Resources and Bibliographies for the field of Macdonald Polynomials ]
500
Macdonald Polynomials and the n! Conjecture - Manuscripts and Publications.
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.
Meta Description: [ A weekly interactive math
project. You can answer challenging questions every week from the Internet. This
can be an individual or class project., The Math Forum is the comprehensive resource for math
education on the Internet. Some features include a K-12 math expert help service, an
ext... ]
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.
Meta Description: [ univalg: List for use by the Universal Algebra co ]
VectorLand - An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.
What is a Jordan-like Algebra? - Includes generalizations, and algebraic geometry. Notes and links by Tony Smith.
| Algebra | |
| Next Video | |