Difference between revisions of "History of the function concept"
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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]]. | 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. | + | 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 [[Georg Cantor|Cantor]], eventually led to the much more general modern concept of a function as a single-valued mapping from one set to another. | + | 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 [[Georg Cantor|Cantor]], eventually led to the much more general modern concept of a function as a single-valued mapping from one set to another. |
== See also == | == See also == | ||
Latest revision as of 09:12, 9 September 2016
In mathematics, the concept of a function (and the name) emerged in the 17th century in connection with the development of the calculus; for example, the slope dy / dx of a graph at a point was regarded as a function of the x-coordinate of the point.
Description
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.
See also
External links
- History of the function concept @ Wikipedia
