Definify.com

Webster 1913 Edition


Algebra

Al′ge-bra

,
Noun.
[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’almuqābalah
reduction and comparison (by equations): cf. F.
algèbre
, It. & Sp.
algebra
.]
1.
(Math.)
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.
2.
A treatise on this science.

Webster 1828 Edition


Algebra

AL'GEBRA

,
Noun.
[Ar. the reduction of parts to a whole, or fractions to whole numbers from the verb, which signifies to consolidate; Heb. to be strong.]
The science of quantity in general, or universal arithmetic. Algebra is a general method computation, in which signs and symbols, which are commonly the letters of the alphabet, are made to represent numbers and quantities. It takes an known quantity sought, as if granted; and, by means of one or more quantities given, proceeds till the quantity supposed is discovered, by some other known quantity to which it is equal.
This science was of Oriental discovery; but whether among the Arabians or Indians, is uncertain.

Definition 2024


Algebra

Algebra

German

Noun

Algebra f (genitive Algebra, plural Algebren)

  1. algebra

Derived terms

  • Banachalgebra
  • Lie-Algebra

algebra

algebra

English

Noun

algebra (countable and uncountable, plural algebras)

  1. (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
    • a1420, The British Museum Additional MS, 12,056, “Wounds complicated by the Dislocation of a Bone”, in Robert von Fleischhacker, editor, Lanfranc's "Science of cirurgie.", London: K. Paul, Trench, Trübner & Co, translation of original by Lanfranc of Milan, published 1894, ISBN 1163911380, page 63:
      Ne take noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.
    • 1987, John Newsome Crossley, “Latency”, in The emergence of number, Singapore: World Scientific, ISBN 9971504146, Al-Khwarizwi, page 65:
      Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too.
  2. (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
    • 1551, James A.H. Murray, editor, A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society., volume 1, Oxford: Clarendon Press, published 1888, Part 1, page 217:
      Also the rule of false position, with dyuers examples not onely vulgar, but some appertaynyng to the rule of Algeber.
  3. (uncountable, mathematics) The study of algebraic structures.
  4. (countable, mathematics) A universal algebra.
  5. (countable, algebra) An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear.
  6. (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 (and thereby also under intersections and differences).
  7. (countable, mathematics) One of several other types of mathematical structure.
  8. (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.
    • 1663, William Clark, William Hugh Logan, editor, Marciano; or, The discovery: A tragi-comedy, Edinburgh: Reprinted for Private Circulation, published 1871, ISBN 1446062937, page 13:
      Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?

Derived terms

Related terms

Translations


Czech

Noun

algebra f

  1. algebra

Declension

Derived terms


Danish

Noun

algebra c (singular definite algebraen, not used in plural form)

  1. (mathematics) algebra

Declension


Dutch

Pronunciation

  • Hyphenation: al‧ge‧bra

Noun

algebra f, m (uncountable)

  1. (mathematics) algebra

Finnish

Noun

algebra

  1. algebra

Declension

Inflection of algebra (Kotus type 13/katiska, no gradation)
nominative algebra algebrat
genitive algebran algebroiden
algebroitten
algebrojen
partitive algebraa algebroita
algebroja
illative algebraan algebroihin
singular plural
nominative algebra algebrat
accusative nom. algebra algebrat
gen. algebran
genitive algebran algebroiden
algebroitten
algebrojen
algebrainrare
partitive algebraa algebroita
algebroja
inessive algebrassa algebroissa
elative algebrasta algebroista
illative algebraan algebroihin
adessive algebralla algebroilla
ablative algebralta algebroilta
allative algebralle algebroille
essive algebrana algebroina
translative algebraksi algebroiksi
instructive algebroin
abessive algebratta algebroitta
comitative algebroineen

Italian

Etymology

Same as English algebra.

Pronunciation

  • IPA(key): /al.d͡ʒɛ.ˈbra/

Noun

algebra f (plural algebre)

  1. algebra

Related terms

Anagrams


Latin

Pronunciation

  • (Classical) IPA(key): /ˈal.ɡe.bra/, [ˈaɫ.ɡɛ.bra]

Noun

algebra f (genitive algebrae); first declension

  1. algebra

Inflection

First declension.

Case Singular Plural
nominative algebra algebrae
genitive algebrae algebrārum
dative algebrae algebrīs
accusative algebram algebrās
ablative algebrā algebrīs
vocative algebra algebrae

References


Latvian

Algebras formula

Etymology

Via other European languages, ultimately from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, reunion, resetting of broken parts) in the title of al-Khwarizmi's influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب اَلْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, The Compendious Book on Calculation by Completion and Balancing).

Pronunciation

  • IPA(key): [alɡɛbɾa]

Noun

algebra f (4th declension)

  1. algebra is a branch of mathematics that studies generic numbers ('variables') regardless of their actual numeric value; the corresponding school subject
    algebras formulaalgebraic formula
    algebras specialistsalgebra specialist
    algebras mācību grāmataalgebra textbook
    algebras stundaalgebra class, lesson
    risināt, atrisināt algebras uzdevumu ― to solve an algebra problem
    algebra ir viena no matematikas pamatnozarēmalgebra is one of the fundamental branches of mathematics

Declension

Derived terms


Norwegian Bokmål

Etymology

From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra

Noun

algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

  1. (mathematics) algebra
  2. an algebra textbook

Derived terms

References


Norwegian Nynorsk

Etymology

From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra

Noun

algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

  1. (mathematics) algebra
  2. an algebra textbook

Derived terms

References


Polish

Etymology

From Italian, Spanish or mediaeval Latin, from Arabic الْجَبْر (al-jabr) “reunion”, “resetting of broken parts”, used in the title of al-Khwarizmi’s influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب الْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, the compendious book on restoration and equating like with like).

Pronunciation

  • IPA(key): [alˈɡɛbra]

Noun

algebra f

  1. algebra

Declension

Derived terms

  • algebraiczny

Serbo-Croatian

Pronunciation

  • IPA(key): /ǎlɡeːbra/
  • Hyphenation: al‧ge‧bra

Noun

àlgēbra f (Cyrillic spelling а̀лге̄бра)

  1. algebra

Declension


Spanish

Noun

algebra

  1. Misspelling of álgebra.

Swedish

Noun

algebra c

  1. (mathematics) algebra

Declension

Inflection of algebra 
Singular Plural
Indefinite Definite Indefinite Definite
Nominative algebra algebran algebror algebrorna
Genitive algebras algebrans algebrors algebrornas

Related terms