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Poincaré and the three body problem

Author: June Barrow-Green
Publisher: Providence, RI : American Mathematical Society ; London : London Mathematical Society, ©1997.
Series: History of mathematics, v. 11.
Edition/Format:   Print book : English
Summary:
Poincare'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 Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a  Read more...
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Named Person: Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré; Jules Henri Poincaré
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: June Barrow-Green
ISBN: 0821803670 9780821803677
OCLC Number: 34357985
Description: xv, 272 pages : illustrations ; 26 cm.
Contents: Ch. 1. Introduction --
Ch. 2. Historical Background --
Ch. 3. Poincare's Work before 1889 --
Ch. 4. Oscar II's 60th Birthday Competition --
Ch. 5. Poincare's Memoir on the Three Body Problem --
Ch. 6. Reception of Poincare's Memoir --
Ch. 7. Poincare's Related Work after 1889 --
Ch. 8. Associated Mathematical Activity --
Ch. 9. Hadamard and Birkhoff --
Ch. 10. Epilogue --
App. 1. A letter from Gosta Mittag-Leffler to Sonya Kovalevskaya --
App. 2. Announcement of the Oscar Competition --
App. 3. Entries received in the Oscar Competition --
App. 4. Report of the Prize Commission --
App. 5. Title Pages and Tables of Contents --
App. 6. Theorems in [P1] not included in [P2].
Series Title: History of mathematics, v. 11.
Responsibility: June Barrow-Green.

Abstract:

The idea of chaos figures prominently in mathematics. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri Poincare, on a problem in celestial mechanics: the  Read more...

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