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.
General
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