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## Poincaré and the Three Body Problem (Softcover)"The idea of chaos figures prominently in mathematics today. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri Poincaré, on a problem in celestial mechanics: the three body problem. This ancient problem—to describe the paths of three bodies in mutual gravitational interaction—is one which is simple to pose buy impossible to solve precisely." — From the back cover ## $32.29 |

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Please contact us if you've got questions about this product.## Condition

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

## Description

This is Volume 11 in the **History 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**

- Introduction
- Historical Background
- Poincaré’s Work before 1889
- Oscar II’s 60th Birthday Competition
- Poincaré’s Memoir on the Three Body Problem
- Reception of Poincaré’s Memoir
- Poincaré’s Related Work after 1889
- Associated Mathematical Activity
- Hadamard and Birkhoff
- Epilogue

**Appendices**

- A letter from Gösta Mittag-Leffler to Sonya Kovalevskaya
- Announcement of the Oscar Competition
- Entries received in the Oscar Competition
- Report of the Prize Commission
- Title Pages and Tables of Contents
- Theorems in [P1] not included in [P2]

The book concludes with References.

## Details

- SKU:
- 2479
- Author:
- Barrow-Green, June
- Publisher:
- American Mathematical Society
- Publish Date:
- 1997 (reprint with corrections)
- Format:
- Softcover
- Weight (pounds):
- 1.11
- Dimensions (W”xL”xH”):
- 6.95″x10″x0.6″
- ISBN-13:
- 9780821803677
- ISBN-10:
- 0821803670

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