### algebra

(Learning Modules / Mathematics / Modelling projectiles) General expression of mathematics using letters to represent variables and constants.

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*n]* - the mathematics of generalized arithmetical operations

Found on http://www.webdictionary.co.uk/definition.php?query=algebra

In 810AD Al-Khwarizmi writes important works on arithmetic, algebra, geography, and astronomy. In particular Hisab al-jabr w'al-muqabala (Calculation by Completion and Balancing), gives us the word 'algebra', from 'al-jabr'. From al-Khwarizmi's name, as a consequence of his arithmetic book, comes the word 'algorithm'.

Found on http://www.diracdelta.co.uk/science/source/a/l/algebra/source.html

**Al'ge·bra** * noun* [ Late Latin

* algebra* , from Arabic

* al-jebr* reduction of parts to a whole, or fractions to whole numbers, from

* jabara* to bind together, consolidate;

* al-jebr w'almuqābalah* reduction and comparison (by equations): confer French

* algèbre* , Italian &...

Found on http://www.encyclo.co.uk/webster/A/54

1. <mathematics> That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude. ... 2. A treatise on this science. ... Origin: LL. Algebra, fr. Ar. Al-jebr reduction of parts to a whole, or fractions to who...

Found on http://www.encyclo.co.uk/local/20973

*noun* the mathematics of generalized arithmetical operations

Found on https://www.encyclo.co.uk/local/20974

• (n.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude. • (n.) A treatise on this science.

Found on http://thinkexist.com/dictionary/meaning/algebra/

branch of mathematics in which arithmetical operations and formal manipulations are applied to abstract symbols rather than specific numbers. The ... [20 related articles]

Found on http://www.britannica.com/eb/a-z/a/45

The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an `algebra`, and the word is used, for example, in the phrases linear algebra and algebraic topology (see below). A mathematician who does research in algebra is called an algebraist. == How to distinguish between diffe.....

Found on http://en.wikipedia.org/wiki/Algebra

A major branch of mathematics that, at an elementary level, involves applying the rules of arithmetic to numbers, and to letters that stand for unknown numbers, with the main aim of solving equations. Beyond the algebra learned in high school is the much vaster and more profound subject of abstract ...

Found on http://www.daviddarling.info/encyclopedia/A/algebra.html

algebra, branch of mathematics concerned with operations on sets of numbers or other elements that are often represented by symbols. Algebra is a generalization of arithmetic and gains much of its power from dealing symbolically with elements and operations (such as addition and multiplication) and ...

Found on http://www.infoplease.com/ce6/sci/A0803309.html

Algebra is a kind of generalized arithmetic, in which numbers or quantities and operations, often also the results of operations, are represented by symbols. Algebra is an invaluable instrument in intricate calculations of all kinds, and enables operations to be performed and results obtained that by arithmetic would be impossible, and its scope is...

Found on http://www.probertencyclopaedia.com/browse/AA.HTM

Branch of mathematics in which the general properties of numbers are studied by using symbols, usually letters, to represent variables and unknown quantities. For example, the algebraic statement: (x + y)2 = x2 + 2xy

Found on http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0002835.html

*[ring theory]* In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R. In this article, all rings are assumed to be unital. ==Formal definition== ...

Found on http://en.wikipedia.org/wiki/Algebra_(ring_theory)

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