Examples of algebra on a chalkboard.

Graphing, absolute value equations and scientific notation are each an example of a topic in algebra.

## algebra

- a mathematical system using symbols, esp. letters, to generalize certain arithmetic operations and relationships (Ex.: x + y = x represents a unique relationship between x and y, and has an infinite number of examples, as 3 + 6 = 9)
- any of various symbolic mathematical systems having formal rules of operation, defined relationships, finite processes, etc.: Boolean
*algebra* - a textbook or treatise dealing with algebra

Origin of algebra

Middle English ; from Medieval Latin ; from Arabic*al-jabr*, the reunion of broken parts ; from

*al*, the +

*jabara*, to reunite

## algebra

noun

- A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.
- A set together with a pair of binary operations defined on the set. Usually, the set and the operations simultaneously form both a ring and a module.

Origin of algebra

Middle English,*bone-setting*, and Italian,

*algebra*, both from Medieval Latin, from Arabic

*al-jabr (wa-l-muqabala)*,

*the restoration (and the compensation), addition (and subtraction)*:

*al-*,

*the*+

*jabr*,

*bone-setting, restoration*(from

*jabara*,

*to set (bones), force, restore*; see

*gpr*in Semitic roots).

*Related Forms:*

**al′ge·bra′ist**noun

## algebra

(*countable and uncountable*, *plural* algebras)

- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
- (uncountable, mathematics) The study of algebraic structures.
- (countable, mathematics) A universal algebra.
- (countable, algebra) An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear.
- (countable, set theory, analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (thereby also under intersections and differences).
- (countable, mathematics) One of several other types of mathematical structure.
- (figuratively) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.

From Medieval Latin, from Arabic word *الجبر* (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work *الكتاب المختصر في حساب الجبر والمقابلة* (al-kitāb al-muxtaṣar fī ḥisāb al-jabr wa-l-muqābala, “The Compendious Book on Calculation by Completion and Balancing”).