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Stories about maxima and minima

Author: V M Tikhomirov
Publisher: Providence, R.I. : American Mathematical Society ; [Washington, D.C.] : Mathematical Association of America, ©1990.
Series: Mathematical world, v. 1.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. This book presents fifteen 'stories' that acquaint readers with the  Read more...

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Document Type: Book
All Authors / Contributors: V M Tikhomirov
ISBN: 0821801651 9780821801659
OCLC Number: 22662058
Notes: Translation of: Rasskazy o maksimumakh i minimumakh.
Description: xi, 187 p. : ill. ; 26 cm.
Contents: Part One: Ancient maximum and minimum problems Why do we solve maximum and minimum problems? The oldest problem--Dido's problem Maxima and minima in nature (optics$)$ Maxima and minima in geometry Maxima and minima in algebra and in analysis Kepler's problem The brachistochrone Newton's aerodynamical problem Part Two: Methods of solution of extremal problems What is a function? What is an extremal problem? Extrema of functions of one variable Extrema of functions of many variables. Lagrange's principle More problem solving What happened later in the theory of extremal problems? More accurately, a discussion.
Series Title: Mathematical world, v. 1.
Other Titles: Rasskazy o maksimumakh i minimumakh.
Responsibility: V.M. Tikhomirov ; translated from the Russian by Abe Shenitzer.
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