A History of the Calculus of Variations in the 18th Century

A History of the Calculus of Variations in the 18th Century

by Robert Woodhouse
     
 

ISBN-10: 0821836471

ISBN-13: 9780821836477

Pub. Date: 02/28/2005

Publisher: American Mathematical Society

Shortly after the invention of differential and integral calculus, the calculus of variations was developed. The new calculus looks for functions that minimize or maximize some quantity, such as the brachistochrone problem, which was solved by Johann Bernoulli, Leibniz, Newton, Jacob Bernoulli and l'Hopital and is sometimes considered as the starting point of the

Overview

Shortly after the invention of differential and integral calculus, the calculus of variations was developed. The new calculus looks for functions that minimize or maximize some quantity, such as the brachistochrone problem, which was solved by Johann Bernoulli, Leibniz, Newton, Jacob Bernoulli and l'Hopital and is sometimes considered as the starting point of the calculus of variations. In Woodhouse's book, first published in 1810, he has interwoven the historical progress with the scientific development of the subject. The reader will have the opportunity to see how calculus, during its first one hundred years, developed by seemingly tiny increments to become the highly polished subject that we know today. Here, Woodhouse's interweaving of history and science gives his special point of view on the mathematics. As he states in his preface: ''Indeed the authors who write near the beginnings of science are, in general, the most instructive; they take the reader more along with them, show him the real difficulties and, which is the main point, teach him the subject, the way they themselves learned it.''

Product Details

ISBN-13:
9780821836477
Publisher:
American Mathematical Society
Publication date:
02/28/2005
Series:
AMS Chelsea Publishing Series, #177
Pages:
154
Product dimensions:
6.00(w) x 9.10(h) x 0.50(d)

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