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  2. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    The branch of mathematics deals with the properties and relationships of numbers, especially positive integers. Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory ...

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...

  4. Category:Fields of mathematics - Wikipedia

    en.wikipedia.org/wiki/Category:Fields_of_mathematics

    Algebra ‎ (16 C, 69 P) Mathematical analysis ‎ (19 C, 179 P) Applied mathematics ‎ (31 C, 118 P) Arithmetic ‎ (13 C, 41 P)

  5. Glossary of areas of mathematics - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_areas_of...

    Mathematics is a broad subject that is commonly divided in many areas that may be defined by their objects of study, by the used methods, or by both. For example, analytic number theory is a subarea of number theory devoted to the use of methods of analysis for the study of natural numbers. This glossary is alphabetically sorted.

  6. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of statements within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations such as addition and multiplication.

  7. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Arithmetic is the fundamental branch of mathematics that studies numbers and their operations. In particular, it deals with numerical calculations using the arithmetic operations of addition, subtraction, multiplication, and division. [1] In a wider sense, it also includes exponentiation, extraction of roots, and logarithm. [2]

  8. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    v. t. e. Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2] Geometry is, along with arithmetic, one of ...

  9. Portal:Mathematics - Wikipedia

    en.wikipedia.org/wiki/Portal:Mathematics

    Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games). Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics ...

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