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  2. Category:Fields of mathematics - Wikipedia

    en.wikipedia.org/wiki/Category:Fields_of_mathematics

    Category: Fields of mathematics. ... Download as PDF; Printable version; In other projects ... Arithmetic (13 C, 40 P) C. Calculus (9 C, 59 P)

  3. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The subject of combinatorics has been studied for much of recorded history, yet did not become a separate branch of mathematics until the seventeenth century. [11] At the end of the 19th century, the foundational crisis in mathematics and the resulting systematization of the axiomatic method led to an explosion of new areas of mathematics.

  4. 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 or branches 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 .

  5. 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 ...

  6. Wikipedia : Contents/Outlines/Mathematics and logic

    en.wikipedia.org/.../Outlines/Mathematics_and_logic

    Combinatorics – the branch of mathematics concerning the study of finite or countable discrete structures. Geometry – this is one of the oldest branches of mathematics, it is concerned with questions of shape, size, relative position of figures, and the properties of space. Algebraic geometry – study of zeros of multivariate polynomials.

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  8. Wikipedia : Contents/Mathematics and logic

    en.wikipedia.org/.../Mathematics_and_logic

    Boolean algebra – branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively. It is used for describing logical operations. Analysis/Calculus – the branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus is the study of ...

  9. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.