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Origin and history of algebra

algebra(n.)

"formal mathematics; the analysis of equations; the art of reasoning about quantitative relations by the aid of a compact and highly systematized notation," 1550s, from Medieval Latin algebra, from Arabic "al-mukhtasar fi hisab al-jabr wa al-muqabala" ("the compendium on calculation by restoring and balancing"), the title of the famous 9c. treatise on equations by Baghdad mathematician Abu Ja'far Muhammad ibn Musa al-Khwarizmi.

Arabic al jabr ("in vulgar pronunciation, al-jebr" [Klein]) "reunion of broken parts" (reducing fractions to integers in computation) was one of the two preparatory steps to solving algebraic equations; it is from Arabic jabara "reintegrate, reunite, consolidate." Al-Khwarizmi's book (translated into Latin in 12c.) also introduced Arabic numerals to the West.

John Dee (16c.) calls the work algiebar and almachabel. The accent shifted 17c. from second syllable to first. The same word was used in English 15c.-16c. to mean "bone-setting," as was Medieval Latin algebra, a usage picked up probably from Arab medical men in Spain.

also from 1550s

Entries linking to algebra

algebraic(adj.)

"pertaining to algebra," 1660s, from algebra + -ic. Earlier was algebraical (1570s). Related: algebraically.

algorithm(n.)

1690s, "Arabic system of computation," from French algorithme, refashioned (under mistaken connection with Greek arithmos "number") from Old French algorisme "the Arabic numeral system" (13c.), from Medieval Latin algorismus, a mangled transliteration of Arabic al-Khwarizmi "native of Khwarazm" (modern Khiva in Uzbekistan), surname of the mathematician whose works introduced sophisticated mathematics to the West (see algebra). The earlier form in Middle English was algorism (early 13c.), from Old French. The meaning broadened to any method of computation; from mid-20c. especially with reference to computing.

al-

in words from Arabic (or assumed to be), it is the definite article "the." Sometimes rendered in English as el-. Often assimilated to following consonants (as-, az-, ar-, am-, an-, etc.). Examples include almanac, alchemy, alcohol, algebra.

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    exponent
    Earliest use is the mathematical one (said to have been introduced in algebra by Descartes) for the symbol placed above and...
    and
    Old English and, ond, originally meaning "thereupon, next," from Proto-Germanic *unda (source also of Old Saxon endi, Old Frisian anda, Middle Dutch ende, Old High German enti, German und, Old Norse enn), from PIE root *en "in." Introductory use (implying connection to something
    perfunctory
    "done mechanically or without interest or zeal and merely for the sake of being rid of the duty of doing it; done so as to conform to the letter but not the spirit," 1580s, from Late Latin perfunctorius "careless, negligent," literally "like one who wishes to get through a thing,
    obelisk
    "tapering rectangular stone column with a pyramidal apex," 1560s, from French obélisque (16c.) and directly from Latin obeliscus "obelisk, small spit," from Greek obeliskos "small spit, obelisk, leg of a compass," diminutive of obelos "a spit, pointed pillar, needle, broach; obel
    blunt
    c. 1200, blunt, blont, "dull, obtuse" (of persons), of uncertain origin. Perhaps from or related to Old Norse blundra "to shut one's eyes" (see blunder (v.)). Or from Old English blinnan (past participle blon) "to stop, cease, come to an end." Of tools or weapons, "not sharp, wit
    peanut
    1807; see pea + nut. Earlier, and still commonly in England, ground nut, ground pea (1769). The plant is native to South America; Portuguese traders took peanuts from Brazil and Peru to Africa by 1502 and it is known to have been cultivated in Chekiang Province in China by 1573,
    artillery
    late 14c., "warlike munitions," especially ballistic engines, from Anglo-French artillerie, Old French artillerie (14c.), from artillier "to provide with engines of war" (13c.), which probably is from Medieval Latin articulum "art, skill," a diminutive of Latin ars (genitive arti
    compound
    late 14c., compounen, "to put together, to mix, to combine; to join, couple together," from Old French compondre, componre "arrange, direct," and directly from Latin componere "to put together," from com "with, together" (see com-) + ponere "to place" (see position (n.)). The une
    emanation
    "act of flowing or issuing from an origin; emission; radiation; what issues, flows, or is given out from any substance or body;" 1560s, from Late Latin emanationem (nominative emanatio), noun of action from past-participle stem of Latin emanare "flow out, spring out of," figurati
    arrogance
    "a manifest feeling of superiority of one's worth or importance, combined with contempt of others," c. 1300, from Old French arrogance (12c.), from Latin arrogantia "presumption, pride, haughtiness," abstract noun from arrogantem (nominative arrogans) "assuming, overbearing, inso

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