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Huygens & Barrow, Newton & Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals (Softcover)

Huygens & Barrow, Newton & Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals (Softcover)

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Condition

GOOD: This softcover book is in good condition, with a few signs of use and wear. The pages are free of writing. Photo plates in the center of the book show colored models.

Product Details

From the back cover: "V. I. Arnol'd, 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 Newtown'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 generalisations [sic] 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."

NOTE: British spelling.

BRIEF CONTENTS

  1. The Law of Universal Gravitation
  2. Mathematical Analysis
  3. From Evolvents to Quasicrystals
  4. Celestial Mechanics
  5. Kepler's Second Law and the Topology of Abelian Integrals

END MATTER

  • Appendix 1. Proof that orbits are elliptic
  • Appendix 2. Lemma XVIII of Newton's Principia
  • Notes
  • Index
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AUTHOR: V. I. Arnol'd
PUBLISHER: Birkhȁuser
ISBN-13: 9780817623838
ISBN-10: 0817623833
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Huygens & Barrow, Newton & Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals (Softcover)
Huygens & Barrow, Newton & Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals (Softcover)1663
Huygens & Barrow, Newton & Hooke: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals (Softcover)1663
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