Huygens and Barrow, Newton and Hooke
pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
by Arnolʹd, V. I.
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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.
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Huygens and Barrow, Newton and Hooke: pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
1990, Birkhaüser Verlag
in English
0817623833 9780817623838
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Book Details
Edition Notes
Includes bibliographical references (p. 107-116) and index.
Translation of: Gi͡u︡ĭgens i Barrou, Nʹi͡u︡ton i Guk.
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| March 28, 2025 | Edited by MARC Bot | import existing book |
| December 4, 2010 | Edited by Open Library Bot | Added subjects from MARC records. |
| April 28, 2010 | Edited by Open Library Bot | Linked existing covers to the work. |
| December 9, 2009 | Created by WorkBot | add works page |