Algebra meaning

ăljə-brə
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.
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A mathematical system using symbols, esp. letters, to generalize certain arithmetic operations and relationships (Ex.: x + y = x2 represents a unique relationship between x and y, and has an infinite number of examples, as 3 + 6 = 9)
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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.
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(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