東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

The three-body problem and the equat...

Poincare, Henri.

FindBook

Google Book

Amazon

博客來

The three-body problem and the equations of dynamics = Poincare's foundational work on dynamical systems theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The three-body problem and the equations of dynamics/ by Henri Poincare (deceased) ; translated by Bruce D. Popp.
其他題名:	Poincare's foundational work on dynamical systems theory /
作者:	Poincare, Henri.
其他作者:	Popp, Bruce D.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xxii, 248 p. :ill., digital ;24 cm.
內容註:	Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index.
Contained By:	Springer eBooks
標題:	Three-body problem. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-52899-1
ISBN:	9783319528991

The three-body problem and the equations of dynamics = Poincare's foundational work on dynamical systems theory /
Poincare, Henri.

The three-body problem and the equations of dynamicsPoincare's foundational work on dynamical systems theory /[electronic resource] :by Henri Poincare (deceased) ; translated by Bruce D. Popp. - Cham :Springer International Publishing :2017. - xxii, 248 p. :ill., digital ;24 cm. - Astrophysics and space science library,4430067-0057 ;. - Astrophysics and space science library ;443..

Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index.

Here is an accurate and readable translation of a seminal article by Henri Poincare that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincare applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations' solutions, such as orbital resonances and horseshoe orbits. Poincare wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

ISBN: 9783319528991

Standard No.: 10.1007/978-3-319-52899-1doiSubjects--Topical Terms:

612480
Three-body problem.

LC Class. No.: QB362.T5

Dewey Class. No.: 530.14

The three-body problem and the equations of dynamics = Poincare's foundational work on dynamical systems theory /
LDR:02488nmm a2200337 a 4500 001 2100723
003 DE-He213
005 20170512074729.0
006 m d
007 cr nn 008maaau
008 180119s2017 gw s 0 eng d
020 $a 9783319528991 $q (electronic bk.)
020 $a 9783319528984 $q (paper)
024 7 $a 10.1007/978-3-319-52899-1 $2 doi
035 $a 978-3-319-52899-1
040 $a GP $c GP
041 1 $a eng $h fre
050 4 $a QB362.T5
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 530.14 $2 23
090 $a QB362.T5 $b P751 2017
100 1 $a Poincare, Henri. $3 3242635
240 1 0 $a Sur le probleme des trois corps et les equations de la dynamique. $l English
245 1 4 $a The three-body problem and the equations of dynamics $h [electronic resource] : $b Poincare's foundational work on dynamical systems theory / $c by Henri Poincare (deceased) ; translated by Bruce D. Popp.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xxii, 248 p. : $b ill., digital ; $c 24 cm.
490 1 $a Astrophysics and space science library, $x 0067-0057 ; $v 443
505 0 $a Translator's Preface -- Author's Preface -- Part I. Review -- Chapter 1 General Properties of the Differential Equations -- Chapter 2 Theory of Integral Invariants -- Chapter 3 Theory of Periodic Solutions -- Part II. Equations of Dynamics and the N-Body Problem -- Chapter 4 Study of the Case with Only Two Degrees of Freedom -- Chapter 5 Study of the Asymptotic Surfaces -- Chapter 6 Various Results -- Chapter 7 Attempts at Generalization -- Erratum. References -- Index.
520 $a Here is an accurate and readable translation of a seminal article by Henri Poincare that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincare applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations' solutions, such as orbital resonances and horseshoe orbits. Poincare wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.
650 0 $a Three-body problem. $3 612480
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Statistical Physics and Dynamical Systems. $3 3135115
650 2 4 $a Astrophysics and Astroparticles. $3 1067087
650 2 4 $a History and Philosophical Foundations of Physics. $3 1066881
650 2 4 $a Planetary Sciences. $3 3218833
700 1 $a Popp, Bruce D. $3 3242636
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Astrophysics and space science library ; $v 443. $3 3242637
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52899-1
950 $a Physics and Astronomy (Springer-11651)