A History of the Calculus of Variations from the 17th through the 19th Century

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“Publisher: Springer-VerlatYear: 1980ISBN: 0387905219, 3540905219Description: Hardcover without dust ”... Read moreabout condition
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eBay item number:365884024722

Item specifics

Condition
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Publisher: Springer-VerlatYear: 1980ISBN: 0387905219, 3540905219Description: Hardcover without dust ...
ISBN
9780387905211
Category

About this product

Product Identifiers

Publisher
Springer
ISBN-10
0387905219
ISBN-13
9780387905211
eBay Product ID (ePID)
171695

Product Key Features

Number of Pages
410 Pages
Publication Name
History of the Calculus of Variations from the Seventeenth Through the Nineteenth Century
Language
English
Subject
History & Philosophy, Calculus, History, Mathematical Analysis
Publication Year
1980
Type
Textbook
Subject Area
Mathematics, Science
Author
H. H. Goldstine
Series
Studies in the History of Mathematics and Physical Sciences Ser.
Format
Hardcover

Dimensions

Item Weight
26.6 Oz

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
80-016228
TitleLeading
A
Series Volume Number
5
Illustrated
Yes
Dewey Decimal
515/.64/0903
Synopsis
The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati­ cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861., The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861."
LC Classification Number
QA21-27QA299.6-433D

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