Areas of mathematics

The aim of this page is to list all areas of modern mathematics, with a brief explanation about their scope and links to other parts of Wikipedia, set out in a systematic way. The way research-level mathematics is internally organised is mostly determined by practitioners, and does change over time; this is in contrast with the apparently timeless syllabus divisions used in mathematics education, where calculus can seem to be much the same over a time scale of a century. Calculus itself does not appear as a major heading — most of the traditional material would be divided amongst topics under analysis. This illustrates, in part, the difficulty of communicating the principles of any large-scale organisation. The research on most calculus topics was carried out in the eighteenth century, and has long been assimilated. The story of why fields exist as specialties involves in most cases quite a long intellectual history (and sometimes institutional history).

Related Topics:
Mathematics - Mathematics education - Calculus - Analysis - Eighteenth century

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The American Mathematical Society's Mathematics Subject Classification (2000 edition) has been used as a starting point to ensure all areas are covered, and related areas are close together. However, the MSC aims to classify mathematical papers, not mathematics itself, so additional categories have been used. See also the list of lists of mathematical topics.

Related Topics:
American Mathematical Society - List of lists of mathematical topics

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