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algebra

[al-juh-bruh] /ˈæl dʒə brə/
noun
1.
the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
2.
any of several algebraic systems, especially a ring in which elements can be multiplied by real or complex numbers (linear algebra) as well as by other elements of the ring.
3.
any special system of notation adapted to the study of a special system of relationship:
algebra of classes.
Origin
1535-1545
1535-45; < Medieval Latin < Arabic al-jabr literally, restoration
Related forms
prealgebra, noun, adjective
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Examples for algebras
  • The categories of boolean rings and boolean algebras are equivalent.
British Dictionary definitions for algebras

algebra

/ˈældʒɪbrə/
noun
1.
a branch of mathematics in which arithmetical operations and relationships are generalized by using alphabetic symbols to represent unknown numbers or members of specified sets of numbers
2.
the branch of mathematics dealing with more abstract formal structures, such as sets, groups, etc
Derived Forms
algebraist (ˌældʒɪˈbreɪɪst) noun
Word Origin
C14: from Medieval Latin, from Arabic al-jabr the bone-setting, reunification, mathematical reduction
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for algebras

algebra

n.

1550s, from Medieval Latin algebra, from Arabic al jebr "reunion of broken parts," as in computation, used 9c. by Baghdad mathematician Abu Ja'far Muhammad ibn Musa al-Khwarizmi as the title of his famous treatise on equations ("Kitab al-Jabr w'al-Muqabala" "Rules of Reintegration and Reduction"), which also introduced Arabic numerals to the West. The accent shifted 17c. from second syllable to first. The word was used in English 15c.-16c. to mean "bone-setting," probably from Arab medical men in Spain.

Online Etymology Dictionary, © 2010 Douglas Harper
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algebras in Science
algebra
  (āl'jə-brə)   
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.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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algebras in Culture

algebra definition


A branch of mathematics marked chiefly by the use of symbols to represent numbers, as in the use of a2 + b2 = c2 to express the Pythagorean theorem.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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11
14
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