# Algebra meaning

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.

noun

A mathematical system using symbols, esp. letters, to generalize certain arithmetic operations and relationships (Ex.: x + y = x

^{2}represents a unique relationship between x and y, and has an infinite number of examples, as 3 + 6 = 9)noun

The definition of algebra is a type of math that focuses on demonstrating the properties and relationships of abstract things in symbolic form.

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

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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.

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Any of various symbolic mathematical systems having formal rules of operation, defined relationships, finite processes, etc.

Boolean *algebra.*

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A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or quantities and express general relationships that hold for all members of a specified set.

(uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

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(uncountable, mathematics) The study of algebraic structures.

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A textbook or treatise dealing with algebra.

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(uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.

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(countable, mathematics) A universal algebra.

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(countable, algebra) An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear.

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(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).

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(countable, mathematics) One of several other types of mathematical structure.

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(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.

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## Origin of algebra

- Middle English
*bone-setting**and*Italian*algebra**both from*Medieval Latin*from*Arabic*al-jabr (wa-l-muqābala)**the restoration (and the compensation), addition (and subtraction)**al-**the**jabr**bone-setting, restoration*(*from**jabara**to set (bones), force, restore*gpr in Semitic roots)### From American Heritage Dictionary of the English Language, 5th Edition

- 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”).### From Wiktionary