Stories about maxima and minima

Stories about maxima and minima /

"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 scienti...

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Bibliographic Details
Main Author: Tikhomirov, V. M. (Vladimir Mikhaĭlovich), 1934-
Other Authors: Shenitzer, Abe (Translator)
Format: Book
Language:English
Russian
Published: Providence, R.I. : [Washington, D.C.] : American Mathematical Society ; Mathematical Association of America, ©1990.
Series:Mathematical world ; v. 1.
Subjects:
Maxima and minima.
Calculus of variations.
Mathematical optimization.
Maximums et minimums.
Calcul des variations.
Optimisation mathématique.
Variatierekening.
Optimaliseren.
Extreme waarden.
Table of 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 accurately, a discussion.

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