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Poincaré and the three body problem

著者: June Barrow-Green
出版: Providence, RI : American Mathematical Society ; London : London Mathematical Society, ©1997.
シリーズ: History of mathematics, v. 11.
エディション/フォーマット:   書籍 : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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  続きを読む
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詳細

関連の人物: Henri Poincaré; Jules Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré
ドキュメントの種類: 図書
すべての著者/寄与者: June Barrow-Green
ISBN: 0821803670 9780821803677
OCLC No.: 34357985
物理形態: xv, 272 pages : illustrations ; 26 cm.
コンテンツ: 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].
シリーズタイトル: History of mathematics, v. 11.
責任者: June Barrow-Green.

概要:

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  続きを読む

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