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Eine Geschichte der Variationsrechnung vom 17. bis 19. Jahrhundert-
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“Publisher: Springer-VerlatYear: 1980ISBN: 0387905219, 3540905219Description: Hardcover without dust ”... Mehr erfahrenÜber den Artikelzustand
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- ISBN
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Über dieses Produkt
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
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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nthdegree's books
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- n***e (60)- Bewertung vom Käufer.Letzter MonatBestätigter KaufDelivered sooner than expected. Packaged very nicely. Items were in great condition, matched description and look even better in person. Excellent quality and value. Highly recommend this seller.
- c***n (220)- Bewertung vom Käufer.Letzter MonatBestätigter KaufShipped very quickly, packaging was A+!! Book was as described and in great condition. Awesome seller!! Thank you!!
- g***e (1282)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufArrived quickly and is in such good condition for its age. Packaged very well for shipping. Book is beautiful and better than described. Very happy with my purchase. Superb transaction. Thank you very much! A+