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What is the difference between algebra and calculus?

algebra | calculus |

Algebra is a see also of calculus.


In context|uncountable|mathematics|lang=en terms the difference between algebra and calculus

is that algebra is (uncountable|mathematics) the study of algebraic structures while calculus is (uncountable|mathematics) differential calculus and integral calculus considered as a single subject; analysis.

In context|countable|mathematics|lang=en terms the difference between algebra and calculus

is that algebra is (countable|mathematics) one of several other types of mathematical structure while calculus is (countable|mathematics) any formal system in which symbolic expressions are manipulated according to fixed rules.

As nouns the difference between algebra and calculus

is that algebra is (uncountable|medicine|historical|rare) the surgical treatment of a dislocated or fractured bone also (countable): a dislocation or fracture while calculus is (dated|countable) calculation, computation.

algebra

English

Noun

(wikipedia algebra)
  • (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
  • * {{quote-book, year= a1420
  • , year_published= 1894 , author= The British Museum Additional MS, 12,056 , by= (Lanfranc of Milan) , title= Lanfranc's "Science of cirurgie." , url= http://books.google.com/books?id=6XktAAAAYAAJ&pg=PA63 , original= , chapter= Wounds complicated by the Dislocation of a Bone , section= , isbn= 1163911380 , edition= , publisher= K. Paul, Trench, Trübner & Co , location= London , editor= Robert von Fleischhacker , volume= , page= 63 , passage= 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 . }}
  • * {{quote-book, year= 1987
  • , year_published= , author= (John Newsome Crossley) , by= , title= The emergence of number , url= http://books.google.com/books?id=rc6atSk1d4IC&pg=PA65 , original= , chapter= Latency , section= Al-Khwarizwi , isbn= 9971504146 , edition= , publisher= World Scientific , location= Singapore , editor= , volume= , page= 65 , passage= 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. }}
  • (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
  • * {{quote-book, year= 1551
  • , year_published= 1888 , author= , by= , title= A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society. , url= http://books.google.com/books?id=JmpXAAAAYAAJ&pg=PA217 , original= , chapter= , section= Part 1 , isbn= , edition= , publisher= Clarendon Press , location= Oxford , editor= , volume= 1 , page= 217 , passage= Also the rule of false position, with dyuers examples not onely vulgar, but some appertaynyng to the rule of Algeber . }}
  • (uncountable, mathematics) The study of algebraic structures.
  • (countable, mathematics) A universal algebra.
  • (countable, algebra) An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear.
  • * {{quote-book, year= 1854
  • , year_published= , author= (George Boole) , by= , title= , url= http://books.google.com/books?id=YNAtAAAAYAAJ&pg=PA37 , original= , chapter= Signs and their Laws , section= , isbn= , edition= , publisher= Walton and Maberly , location= London , editor= , volume= , page= 37 , passage= Let us conceive, then, of an Algebra in which the symbols x'', ''y'', ''z , &c. admit indifferently of the values 0 and 1, and of these values alone. }}
  • (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).
  • (countable, mathematics) One of several other types of mathematical structure.
  • (figurative) 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.
  • * {{quote-book, year= 1663
  • , year_published= 1871 , author= William Clark , by= , title= Marciano; or, The discovery: A tragi-comedy , url= http://books.google.com/books?id=I18JAAAAQAAJ&pg=PA13 , original= , chapter= , section= , isbn= 1446062937 , edition= , publisher= Reprinted for Private Circulation , location= Edinburgh , editor= William Hugh Logan , volume= , page= 13 , passage= 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

    () * * abstract algebra * alternative algebra * bialgebra * Boolean algebra * elementary algebra * finite algebra * free algebra * Lie algebra * linear algebra * modern algebra * multialgebra * subalgebra * power-associative algebra * prealgebra * submultialgebra * superalgebra * universal algebra * vector algebra

    calculus

    English

    Noun

    (wikipedia calculus)
  • (dated, countable) calculation, computation
  • (countable, mathematics) Any formal system in which symbolic expressions are manipulated according to fixed rules.
  • lambda calculus
    predicate calculus
  • Differential calculus and integral calculus considered as a single subject; analysis.
  • (countable, medicine) A stony concretion that forms in a bodily organ.
  • renal calculus ( = kidney stone)
  • (uncountable, dentistry) Deposits of calcium phosphate salts on teeth.
  • (countable) A decision-making method, especially one appropriate for a specialised realm.
  • *
  • Synonyms

    * (in analysis) infinitesimal calculus * (in medicine) stone * (in dentistry) dental calculus, tartar

    Derived terms

    * calculus of moving surfaces * calculus of sums and differences * calculus of variations * dental calculus * differential calculus * felicific calculus * finite-difference calculus * fractional calculus * hedonic calculus * hedonistic calculus * implicational propositional calculus * infinitesimal calculus * integral calculus * join calculus * Kirby calculus * lambda calculus * logical calculus * multivariable calculus * noncalculus * operational calculus * pi-calculus * precalculus * predicate calculus * propositional calculus * tensor calculus * tuple calculus * utility calculus

    See also

    * algebra * analysis * concretion English nouns with irregular plurals ----