Algebra - Research Article from World of Mathematics

This encyclopedia article consists of approximately 9 pages of information about Algebra.
This section contains 2,437 words
(approx. 9 pages at 300 words per page)
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Algebra

Algebra is often referred to as a generalization of arithmetic. As such, it is a collection of rules: rules for translating words into the symbolic notation of mathematics, rules for formulating mathematical statements using symbolic notation, and rules for rewriting mathematical statements in a manner that leaves their truth unchanged.

The power of elementary algebra, which grew out of a desire to solve problems in arithmetic, stems from its use of variables to represent numbers. This allows the generalization of rules to whole sets of numbers. For example, the solution to a problem may be the variable x or a rule such as ab=ba can be stated for all numbers represented by the variables a and b.

Elementary algebra is concerned with expressing problems in terms of mathematical symbols and establishing general rules for the combination and manipulation of those symbols. There is another type of algebra...

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This section contains 2,437 words
(approx. 9 pages at 300 words per page)
Buy the Algebra Encyclopedia Article
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Algebra from World of Mathematics. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.