This is an audio version of the Wikipedia Article: 00:01:01 1 Definition
00:06:20 2 Search
00:07:54 3 Examples
00:09:36 4 Functions of more than one variable
00:10:40 5 Maxima or minima of a functional
00:11:00 6 In relation to sets
00:11:34 7 See also
00:11:57 8 References
00:12:12 9 External links
00:15:10 0. However, it cannot be a global one, because ƒ(2,3)
00:15:29 Maxima or minima of a functional
00:15:58 In relation to sets
00:19:07 See also
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SUMMARY
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In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.
As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.
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