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Poincaré and the three body problem

著者: June Barrow-Green
出版商: Providence, RI : American Mathematical Society ; London : London Mathematical Society, ©1997.
丛书: History of mathematics, v. 11.
版本/格式:   图书 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
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  再读一些...
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详细书目

提及的人: Henri Poincaré; Jules Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré
文件类型:
所有的著者/提供者: June Barrow-Green
ISBN: 0821803670 9780821803677
OCLC号码: 34357985
描述: xv, 272 p. : ill. ; 26 cm.
内容: 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].
丛书名: History of mathematics, v. 11.
责任: June Barrow-Green.

摘要:

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  再读一些...

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schema:description"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 copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare'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 Poincare's subsequent highly influential work in celestial mechanics."@en
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