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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:   Print 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. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the past--Euclid, Archimedes, Heron, the Bernoullis, Newton, and many others--took part in seeking solutions to these  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V M Tikhomirov
ISBN: 0821801651 9780821801659
OCLC Number: 22662058
Notes: Translation of: Rasskazy o maksimumakh i minimumakh.
Description: xi, 187 pages : illustrations ; 26 cm.
Contents: 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 --
What is a function? --
What is an extremal problem? --
Extrema of functions of one variable --
Extrema of functions of many variables : the Lagrange principle --
More problem solving --
What happened later in the theory of extremal problems? --
More acurately, 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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Abstract:

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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