different between mathematics vs algebra

English

Alternative forms

• mathematicks (obsolete)

Etymology

From Old French mathematique, from Latin math?matica (“mathematics”), from Ancient Greek ??????????? (math?matikós, “on the matter of that which is learned”), from ?????? (máth?ma, “knowledge, study, learning”). Displaced native Old English r?mcræft.

Pronunciation

• IPA^(key): /mæ?(?)?mæt?ks/

Noun

mathematics (uncountable)

1. An abstract representational system used in the study of numbers, shapes, structure, change and the relationships between these concepts.
   • 1992 March 2, Richard Preston, The New Yorker, "The Mountains of Pi":

     Looking at the Leibniz series, you feel the independence of mathematics from human culture. Surely, on any world that knows pi the Leibniz series will also be known... Nilakantha, an astronomer, grammarian, and mathematician who lived on the Kerala coast of India, described the formula in Sanskrit poetry around the year 1500.

   • 2002, Ian Stewart, Does God Play Dice?: The New Mathematics of Chaos, page 38

     The answer is 'yes', and the mathematics needed is the theory of probability and its applied cousin, statistics.

2. A person's ability to count, calculate, and use different systems of mathematics at differing levels.

   My mathematics is always improving.

Usage notes

• Mathematics was previously seen as a plural, but this usage is obsolete.
  • "… Artificers, to whom the Practical Mathematics are of great and immediate U?e." A System of Practical Mathematics - John Potter, 1753
  • "Mathematics are based on arithmatic^[sic], algebra and geometry, and are either pure or mixed." - The teacher's assistant in the "Course of mathematics adapted to the method of instruction in the American colleges - Jeremiah Day, 1836
  • "Now the mathematics are peculiarly well adapted for this purpose, … " - Library of Useful Knowledge - Mathematics - Baldwin and Cradock, London, 1836
  • "Mathematics are also distinguished into Theoretical, or Speculative, and Practical, …" A new and easy Introduction to the Mathematics - Ira Wanzer, 1831

Synonyms

• (ability to use mathematics): numeracy
• abbreviation: maths (UK, Australia), math (US, Canada)
• See also Thesaurus:mathematics

Derived terms

Related terms

• mathematical
• mathematically
• mathematician

Descendants

• ? Welsh: mathemateg

Translations

See also

• mathematics on Wikipedia.Wikipedia
• Definitions of mathematics on Wikipedia.Wikipedia
• polymath

Further reading

• PlanetMath.Org Encyclopedia
• Mathematics using gifs
• Mathworld Encyclopedia

English

Etymology

From Medieval Latin algebr?ica, from Arabic word ????????? (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work ????????? ???????????? ??? ?????? ???????? ??????????????? (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, “The Compendious Book on Calculation by Completion and Balancing”).

Pronunciation

• (UK) IPA^(key): /?æl.d??.b??/
• (US) IPA^(key): /?æl.d??.b??/, /?æl.d??.b??/

Noun

algebra (countable and uncountable, plural algebras)

1. (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
2. (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
3. (uncountable, mathematics) The study of algebraic structures.
4. (countable, mathematics) A universal algebra.
5. (countable, algebra) An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.

   Synonyms: algebra over a field, algebra over a ring
6. (countable, set theory, mathematical 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).

   Synonyms: field of sets, algebra of sets

   Hypernym: ring

   Hyponym: ?-algebra

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.

Derived terms

Related terms

Translations

Anagrams

• Labarge

Czech

Etymology

From Arabic ????????? (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.

Pronunciation

• IPA^(key): [?al??bra]

Noun

algebra f

1. algebra

Declension

Derived terms

• Booleova algebra
• booleovská algebra

Related terms

• algebraický

Further reading

• algebra in P?íru?ní slovník jazyka ?eského, 1935–1957
• algebra in Slovník spisovného jazyka ?eského, 1960–1971, 1989

Danish

Etymology

Borrowed from Medieval Latin algebra, from Arabic ????????? (al-jabr).

Noun

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

1. (mathematics) algebra (using symbols)
2. (mathematics) algebra (study of algebraical structures)

Declension

Dutch

Etymology

From Middle Dutch algebra, from Latin algebra, from Arabic ????????? (al-jabr).

Pronunciation

• IPA^(key): /??l.???bra?/
• Hyphenation: al?ge?bra

Noun

algebra f (uncountable)

1. (mathematics) algebra

   Synonyms: stelkunde, stelkunst

Derived terms

• algebraïcus
• algebraïsch
• algebraïst
• lineaire algebra

Finnish

Noun

algebra

1. algebra

Declension

Hungarian

Etymology

From Latin algebra, from Arabic ????????? (al-jabr).

Pronunciation

• IPA^(key): [??l??br?]
• Hyphenation: al?geb?ra
• Rhymes: -r?

Noun

algebra

1. (mathematics) algebra (a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols)
2. (education) algebra (the study of algebra as a school subject)

Declension

Derived terms

• algebrai

References

Further reading

• algebra in Bárczi, Géza and László Országh: A magyar nyelv értelmez? szótára (’The Explanatory Dictionary of the Hungarian Language’). Budapest: Akadémiai Kiadó, 1959–1962. Fifth ed., 1992: ?ISBN
• algebra in Ittzés, Nóra (ed.). A magyar nyelv nagyszótára (’A Comprehensive Dictionary of the Hungarian Language’). Budapest: Akadémiai Kiadó, 2006–2031 (work in progress; published A–ez as of 2021)

Italian

Etymology

From Medieval Latin algebra, from Arabic ????????? (al-jabr, “reunion, resetting of broken parts”).

Pronunciation

• IPA^(key): /?al.d??e.bra/
• Hyphenation: al?ge?bra

Noun

algebra f (plural algebre)

1. algebra

Related terms

• algebrico
• algebrista

Anagrams

• alberga

Latin

Pronunciation

• (Classical) IPA^(key): /?al.?e.bra/, [?ä????b?ä]
• (Ecclesiastical) IPA^(key): /?al.d??e.bra/, [??l??d???b??]

Noun

algebra f (genitive algebrae); first declension

1. (Medieval Latin, New Latin) algebra

Declension

First-declension noun.

References

• algebra in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition, 1883–1887)

Latvian

Etymology

Via other European languages, ultimately from Medieval Latin algebra, from Arabic ????????? (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work ????????? ???????????? ??? ?????? ????????? ??????????????? (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, “The Compendious Book on Calculation by Completion and Balancing”).

Pronunciation

• IPA^(key): [al??b?a]

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

Declension

Derived terms

• algebrisks

Norwegian Bokmål

Etymology

From Arabic ????????? (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

• algebraisk
• lineær algebra

References

• “algebra” in The Bokmål Dictionary.

Norwegian Nynorsk

Etymology

From Arabic ????????? (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

• algebraisk
• lineær algebra

References

• “algebra” in The Nynorsk Dictionary.

Polish

Etymology

From Italian, Spanish or mediaeval Latin, from Arabic ????????? (al-jabr) “reunion”, “resetting of broken parts”, used in the title of al-Khwarizmi’s influential work ????????? ???????????? ??? ?????? ???????? ??????????????? (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, “the compendious book on restoration and equating like with like”).

Pronunciation

• IPA^(key): /al???.bra/

Noun

algebra f

1. algebra

Declension

Derived terms

• algebraiczny
• algebraicznie
• algebraik

Further reading

• algebra in Polish dictionaries at PWN

Serbo-Croatian

Pronunciation

• IPA^(key): /?l?e?bra/
• Hyphenation: al?ge?bra

Noun

àlg?bra f (Cyrillic spelling ?????????)

1. algebra

Declension

Spanish

Noun

algebra

1. Misspelling of álgebra.

Swedish

Noun

algebra c

1. (mathematics) algebra

Declension

Related terms

• algebraisk
• relationsalgebra