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Poincare and the three body problem /

Barrow-Green, June, (1953-)

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Poincare and the three body problem /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Poincare and the three body problem // June Barrow-Green.
作者:	Barrow-Green, June,
出版者:	Providence, RI :American Mathematical Society ; : ©1997.,
面頁冊數:	xv, 272 p. :ill. ;26 cm.
標題:	Three-body problem. -
ISBN:	0821803670 (pbk.) :

Poincare and the three body problem /
Barrow-Green, June,1953-

Poincare and the three body problem /June Barrow-Green. - Providence, RI :American Mathematical Society ;©1997. - xv, 272 p. :ill. ;26 cm. - History of mathematics,v. 110899-2428 ;. - History of mathematics ;v. 38..

Includes bibliographical references (p. 249-266) and index.

Introduction --

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.

ISBN: 0821803670 (pbk.) :US47.00

LCCN: 96011112 Subjects--Personal Names:

2070253
Poincaré, Henri,
1854-1912.Subjects--Topical Terms:

612480
Three-body problem.

LC Class. No.: QA852 / .B37 1997

Dewey Class. No.: 515/.352

Poincare and the three body problem /
LDR:02461cam a2200229 a 4500 001 1923330
003 OCoLC
005 20141117104255.0
008 140624s1997 riua b 001 0 eng
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020 $a 0821803670 (pbk.) : $c US47.00
020 $a 9780821803677 (pbk.)
040 $a DLC $b eng
050 0 0 $a QA852 $b .B37 1997
082 0 0 $a 515/.352 $2 20
100 1 $a Barrow-Green, June, $d 1953- $3 922822
245 1 0 $a Poincare and the three body problem / $c June Barrow-Green.
260 # $a Providence, RI : $a London : $c ©1997. $b American Mathematical Society ; $b London Mathematical Society,
300 $a xv, 272 p. : $b ill. ; $c 26 cm.
490 1 0 $a History of mathematics, $x 0899-2428 ; $v v. 11
504 $a Includes bibliographical references (p. 249-266) and index.
505 0 0 $t Introduction -- $t Historical Background -- $t Poincare's Work before 1889 -- $t Oscar II's 60th Birthday Competition -- $t Poincare's Memoir on the Three Body Problem -- $t Reception of Poincare's Memoir -- $t Poincare's Related Work after 1889 -- $t Associated Mathematical Activity -- $t Hadamard and Birkhoff -- $t Epilogue -- $t A letter from Gosta Mittag-Leffler to Sonya Kovalevskaya -- $t Announcement of the Oscar Competition -- $t Entries received in the Oscar Competition -- $t Report of the Prize Commission -- $t Title Pages and Tables of Contents -- $t Theorems in [P1] not included in [P2].
520 # $a 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.
600 1 0 $a Poincaré, Henri, $d 1854-1912. $3 2070253
650 # 0 $a Three-body problem. $3 612480
650 # 0 $a Hamiltonian systems. $3 629810
740 0 2 $a Poincaré and the three body problem.
830 0 $a History of mathematics ; $v v. 38. $3 1575287