Description

Book Synopsis
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 central concepts of the theory of maxima and minima, as well as with its illustrious history.

Table of 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.

Stories About Maxima and Minima Mathematical

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Stories About Maxima and Minima Mathematical by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 5/30/1991 12:00:00 AM
      ISBN13: 9780821801659, 978-0821801659
      ISBN10: 0821801651

      Description

      Book Synopsis
      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 central concepts of the theory of maxima and minima, as well as with its illustrious history.

      Table of 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.

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