Calculus of variations / by Gilbert Ames Bliss.

Format:

Book

Author/Creator:

Bliss, Gilbert Ames, 1876-1951, author.

Series:

Carus mathematical monographs ; Number 1.

Carus Mathematical Monographs ; Number 1

Language:

English

Subjects (All):

Calculus of variations.

Maxima and minima.

Physical Description:

1 online resource (xiii, 189 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Chicago : Published for the Mathematical Association of America by the Open Court Publishing Company, 1925.

Language Note:

English

Summary:

The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. The development of the calculus of variations has, from the beginning, been interlaced with that of the differential and integral calculus. Without any knowledge of the calculus one can readily understand at least the geometrical or mechanical statements of many of the problems of the calculus of variations and the character of their solutions. The discovery and justification of the results in this book, apart from their simple statements, do require, however, acquaintance with the principles of the calculus, and it is assumed that the reader has such an acquaintance. Calculus of Variations begins by studying special problems rather than the general theory. The first chapter of the book describes the historical setting out of which the theory of the calculus of variations grew, and the character of some of the simpler problems. The next three chapters are devoted to the development in detail of the then known results for three special problems (shortest distances, brachistochrone, and surfaces of revolution of minimum area) which illustrate in excellent fashion the essential characteristics of the general theory contained in Chapter V with which the book concludes.

Contents:

Typical problems of the calculus of variations

Shortest distances

The brachistochrone problem

Surfaces of revolution of minimum area

A more general theory.

Notes:

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61444-001-8

0-88385-001-X