the mathematics of generalized arithmetical operations
A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols
The study of algebraic structures
A universal algebra
An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear
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 (and thereby also under intersections and differences)
One of several other types of mathematical structure
Origin: Medieval , from al-jabr “reunion, resetting of broken parts”
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
a treatise on this science
Origin: [LL. algebra, fr. Ar. al-jebr reduction of parts to a whole, or fractions to whole numbers, fr. jabara to bind together, consolidate; al-jebr w'almuqbalah reduction and comparison (by equations): cf. F. algbre, It. & Sp. algebra.]
Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. For historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or with qualifiers. ⁕As a single word without article, "algebra" names a broad part of mathematics. ⁕As a single word with article or in plural, "algebra" denote a specific mathematical structure. See algebra and algebra over a field. ⁕With a qualifier, there is the same distinction: ⁕Without article, it means a part of algebra, like linear algebra, elementary algebra, or abstract algebra. ⁕With an article, it means an instance of some abstract structure, like a Lie algebra or an associative algebra. ⁕Frequently both meanings exist for the same qualifier, like in the sentence: Commutative algebra is the study of commutative rings, that all are commutative algebras over the integers. ⁕Sometimes "algebra" is also used to denote the operations and methods related to algebra in the study of a structure that does not belong to algebra. For example algebra of infinite series may denotes the methods for computing with series without using the notions of infinite summation, limits and convergence.
Chambers 20th Century Dictionary
al′je-bra, n. a method of calculating by symbols—by means of letters employed to represent the numbers, and signs to represent their relations, thus forming a kind of universal arithmetic.—adjs. Algebrā′ic, -al, pertaining to algebra.—n. Algebrā′ist, one skilled in algebra. [It. and Sp., from Ar. al-jebr, the resetting of anything broken, hence combination; jabara, to reunite.]
The Nuttall Encyclopedia
a universal arithmetic of Arabian origin or Arabian transmission, in which symbols are employed to denote operations, and letters to represent number and quantity.
Song lyrics by algebra -- Explore a large variety of song lyrics performed by algebra on the Lyrics.com website.
The numerical value of algebra in Chaldean Numerology is: 8
The numerical value of algebra in Pythagorean Numerology is: 1
Sample Sentences & Example Usage
It is vain futility to analyze the algebra of time.
In real life, I assure you, there is no such thing as algebra.
I have seen men fly bombers with their faces half- blown away. You're going to allow a few algebra formulas to ground you
Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra.
I just don’t know how to help him, if there’s a history assignment — or even a science problem that I have no idea about — I can look it up on the Internet. I can’t do that with algebra.
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Translations for algebra
From our Multilingual Translation Dictionary
- علم الجبر, جبرArabic
- àlgebraCatalan, Valencian
- 代数学, 代数式, 代数Japanese
- 대수, 代數學, 代數, 대수학Korean
- aljabar, algebraMalay
- algebra, stelkundeDutch
- алгебра, algebraSerbo-Croatian
- đại số, 代數學, đại số học, 代數Vietnamese
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