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Poincaré and the three body problem

Autor: June Barrow-Green
Editora: Providence, RI : American Mathematical Society ; London : London Mathematical Society, ©1997.
Séries: History of mathematics, v. 11.
Edição/Formato   Livro : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Pessoa Denominada: Henri Poincaré; Jules Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré
Tipo de Documento: Livro
Todos os Autores / Contribuintes: June Barrow-Green
ISBN: 0821803670 9780821803677
Número OCLC: 34357985
Descrição: xv, 272 pages : illustrations ; 26 cm.
Conteúdos: 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].
Título da Série: History of mathematics, v. 11.
Responsabilidade: June Barrow-Green.

Resumo:

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  Ler mais...

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