A field is an algebraic structure that is closed under the four usual arithmetic operations: a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational numbers do. Heinrich Martin Weber gave the first clear abstract definition of a field in 1893. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Field (mathematics) (Wikipedia)
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Source Field (mathematics) (Wikipedia)
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1. Field (mathematics) (Wikipedia)
Wikimedia FoundationHistory section
The first clear definition of an abstract field is due to Weber (1893).
Lead section
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational numbers do.
History
The first clear definition of an abstract field is due to Weber (1893).
In Branch: Algebra, Introduction
Fields are fundamental algebraic structures that are widely used in algebra, number theory, and many other areas of mathematics.
Attributed To: Richard Dedekind, Lead
In 1871 Richard Dedekind introduced, for a set of real or complex numbers that is closed under the four arithmetic operations, the German word Körper, which means "body" or "corpus" (to suggest an organically closed entity)
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