Huygens and Barrow, Newton and Hooke
Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Publisher Birkha?user Basel
- Date of Publication 1 July 1990
- Number of Volumes 1 pieces, Book
- ISBN 9783764323837
- Binding Paperback
- No. of pages118 pages
- Size 210x148 mm
- Weight 195 g
- Language English
- Illustrations 118 p. 1 illus. Illustrations, black & white 90
Categories
Long description:
"
Translated from the Russian by E.J.F. Primrose
""Remarkable little book."" -SIAM REVIEW
V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century.
Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics.
The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
Table of Contents:
Huygens and Barrow, Newton and Hooke.- 1. The law of universal gravitation.-
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