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Poincaré and the three body problem

저자: June Barrow-Green
출판사: Providence, RI : American Mathematical Society ; London : London Mathematical Society, ©1997.
시리즈: History of mathematics, v. 11.
판/형식:   도서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
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  더 읽기…
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상세정보

명시된 사람: Henri Poincaré; Jules Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré; Henri Poincaré
문서 형식:
모든 저자 / 참여자: June Barrow-Green
ISBN: 0821803670 9780821803677
OCLC 번호: 34357985
설명: xv, 272 p. : ill. ; 26 cm.
내용: 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].
일련 제목: History of mathematics, v. 11.
책임: June Barrow-Green.

초록:

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  더 읽기…

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