arithmetic

Dictionary


  • the branch of pure mathematics dealing with the theory of numerical calculations relating to or involving arithmetic
  • "arithmetical computations"

  • Wikipedia


    Arithmetic or arithmetics (from the Greek languageGreek word !''αριθ_ 6;ός''? = number) in common usage is a branch of (or the forerunner of) mathematics which records elementary properties of certain ''operations'' on numerals, though in usage by professional mathematicians, it often is treated as a synonym for number theory. It is the oldest and simplest branch of mathematics, used widely by almost everyone from simple daily counting to more advanced science and business.

    Arithmetic operations - The traditional arithmetic operations are addition, subtraction, multiplication and division (mathematics)division, although more advanced operations (such as manipulations of percentpercentages, square root, exponentiation, and logarithmlogarithmic functions) are also sometimes included in this subject. Arithmetic is performed according to an order of operations. The arithmetic of natural numbers, integers, rational numbers (in the form of vulgar fractions), and real numbers (using the decimal place-value system known as algorism) is typically studied by schoolchildren, who learn manual algorithms for arithmetic. However, in adult life, many people prefer to use tools such as calculators, computers, or the abacus to perform arithmetical computations.

    Number theory - The term ''arithmetic'' is also used to refer to number theory. This includes the properties of integers related to prime numberprimality, divisibility, and the Diophantine equationssolution of equations by integers, as well as modern research which is an outgrowth of this study. It is in this context that one runs across the fundamental theorem of arithmetic and arithmetic functions. ''A Course in Arithmetic'' by Serre reflects this usage, as do such phrases as ''first order arithmetic'' or ''arithmetical algebraic geometry''.

    See also -
  • addition in N
  • additive inverse
  • associativity
  • commutativity
  • distributivity
  • elementary arithmetic
  • finite field arithmetic
  • number line
  • List of publications in mathematics#Arithmetic Important publications in arithmetic
  • Arithmetic codingCategory:Arithmeticar:ح سابbn:পাটিগণি তbr:Aritmetikca:Aritmèticac s:Aritmetikada:Aritmetikde:Ari thmetikes:Aritméticaeo:Aritme tikofr:Arithmétiquegl:Aritmé ticahr:Aritmetikaio:Aritmetiko id:Aritmatikaia:Arithmeticait: Aritmeticahe:אריתמטיק sw:Hesabula:Arithmeticalt:Ari tmetikamk:Аритметика nl:Rekenenja:算数pl:Arytmety kapt:Aritméticaru:Арифм тикаsimple:Arithmeticfi:A ritmetiikkasv:Aritmetiktl:Arit metikata:எண்கணித ம்th:เลขคณิต tr:Aritmetikzh:算术
  • Websites


    All Elementary Mathematics
    Web high mathematical school. All sections of curriculum of elementary mathematics. Arithmetic, algebra, geometry, trigonometry,functions and graphs, analysis. Theory and solving problems. Versions of examination tests. Online consulting. Preparatory to universities and colleges.
    http://www.bymath.com/

    Interactive Mathematics Miscellany and Puzzles
    A nearly encyclopedic collection of K12 math topics and problems, more than 700 of which are accompanied by interactive Java illustrations. Many problems come with multiple solutions and many theorems with multiple proofs.
    http://www.cut-the-knot.org/

    UbiMathPoint
    Math resources for K12 and teachers. Papers, tests on line and exercises with solutions.
    http://www.pernigo.com/math/default.aspx

    Miller's Revenge
    Seattle-based, blues-influenced rock band. Site includes sound files and pictures.
    http://members.aol.com//_ht_a/msrevenge2/MRindex.Html

    The Math Forum
    Combined archive and portal to web resources, educational issues, help forums, mailing lists, and teaching materials.
    http://mathforum.org/

    Ben Gurion University
    Department of Computer Science. People, research projects, preprints.
    http://www.cs.bgu.ac.il/

    S&S Software: Educators Programming for Learners
    Math software, free arithmetic worksheets and fact pages.
    http://www.sssoftware.com

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