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Poincaré and the Three Body Problem (Softcover)

Poincaré and the Three Body Problem (Softcover)

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VERY GOOD: This book is in very good condition, showing only slight signs of use and wear.

Product Details

This is Volume 11 in theHistory of Mathematics series from the American Mathematical Society and the London Mathematical Society.

Continued from the back cover: "Poincaré's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincaré discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincaré himself, recently discovered in the Institut Mittag-Leffler in Stockholm.

"Poincaré and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincaré's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincaré's subsequent highly influential work in celestial mechanics."

Chapters

  1. Introduction
  2. Historical Background
  3. Poincaré's Work before 1889
  4. Oscar II's 60th Birthday Competition
  5. Poincaré's Memoir on the Three Body Problem
  6. Reception of Poincaré's Memoir
  7. Poincaré's Related Work after 1889
  8. Associated Mathematical Activity
  9. Hadamard and Birkhoff
  10. Epilogue
Appendices
  1. A letter from Gösta Mittag-Leffler to Sonya Kovalevskaya
  2. Announcement of the Oscar Competition
  3. Entries received in the Oscar Competition
  4. Report of the Prize Commission
  5. Title Pages and Tables of Contents
  6. Theorems in [P1] not included in [P2]
The book concludes with References.
View full details

AUTHOR: Barrow-Green;June
PUBLISHER: American Mathematical Society
ISBN-13: 9780821803677
ISBN-10: 0821803670
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