Functions and mappings | Basic concepts in set theory

History of the function concept

The mathematical concept of a function emerged in the 17th century in connection with the development of the calculus; for example, the slope of a graph at a point was regarded as a function of the x-coordinate of the point. Functions were not explicitly considered in antiquity, but some precursors of the concept can perhaps be seen in the work of medieval philosophers and mathematicians such as Oresme. Mathematicians of the 18th century typically regarded a function as being defined by an analytic expression. In the 19th century, the demands of the rigorous development of analysis by Weierstrass and others, the reformulation of geometry in terms of analysis, and the invention of set theory by Cantor, eventually led to the much more general modern concept of a function as a single-valued mapping from one set to another. (Wikipedia).

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From playlist Intro to Functions

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From playlist Introduction to Functions: Function Basics

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From playlist Pre-Calculus - Functions

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From playlist College Algebra

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More resources available at www.misterwootube.com

From playlist Working with Functions

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From playlist Foundational Math

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From playlist Introduction to Functions: Function Basics

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