Outline of algebra

From Wikipedia, the free encyclopedia

For a more comprehensive list, see the List of algebra topics.

Algebra is one of the main branches of mathematics, and concerns the study of structure, relation and quantity. It studies the effects of adding and multiplying numbers, variables, and polynomials, along with their factorization and determining their roots. In addition to working directly with numbers, algebra also covers symbols, variables, and set elements. Addition and multiplication are general operations, but their precise definitions lead to structures such as groups, rings and fields.

The following outline is provided as an overview of and topical guide to algebra:

Contents 1 Essence of algebra 2 Branches or classifications of algebra 3 History of algebra 4 General algebra concepts 5 Algebra lists 6 See also 7 External links

[edit] Essence of algebra

Main article: Algebra

• Arithmetic
• Equations
• Polynomials
• Variables

[edit] Branches or classifications of algebra

• Pre-algebra
• Elementary algebra
• Abstract algebra
• Linear algebra
• Universal algebra

[edit] History of algebra

Main article: History of algebra

[edit] General algebra concepts

Algebra - Cubic equation - Fundamental theorem of algebra - Linear equation - Quartic equation - Quintic equation - Parabola - Polynomial

[edit] Algebra lists

[edit] See also

• Table of mathematical symbols

[edit] External links

• '4000 Years of Algebra', lecture by Robin Wilson, at Gresham College, 17 October 2007 (available for MP3 and MP4 download, as well as a text file).
• ExampleProblems.com Example problems and solutions from basic and abstract algebra.

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