The three-body problem and the equations of dynamics : Poincaré's foundational work on dynamical systems theory /: Poincaré's foundational work on dynamical systems theory. (2017)

• Record Type: Book
• Uniform Title: Sur le problème des trois corps et les équations de la dynamique.
• Further Information: Note: Henri Poincaré (deceased) ; translated by Bruce D. Popp.
• Authors: Poincaré, Henri, 1854-1912
• Other Names: Popp, Bruce D translator.
• Contents: Translator's Preface; The Monograph; Errors and Typos; The Translation; References and Index; Notation; Section 4 of Chapter 2, Theorem III; Notable Concepts; Acknowledgements; Bibliography; Author's Preface; Contents; Review; 1 General Properties of the Differential Equations; 1 Notations and Definitions; 2 Calculation of Limits; 3 Application of the Calculation of Limits to Partial Differential Equations; 4 Integration of Linear Equations with Periodic Coefficients; 2 Theory of Integral Invariants; 1 Various Properties of the Equations of Dynamics; 2 Definitions of Integral Invariants 3 Transformation of Integral Invariants4 Using Integral Invariants; 3 Theory of Periodic Solutions; 1 Existence of Periodic Solutions; 2 Characteristic Exponents; 3 Periodic Solutions of the Equations of Dynamics; 4 Calculation of the Characteristic Exponents; 5 Asymptotic Solutions; 6 Asymptotic Solutions of the Equations of Dynamics; Equations of Dynamics and the N-Body Problem; 4 Study of the Case with Only Two Degrees of Freedom; 1 Various Geometric Representations; 5 Study of the Asymptotic Surfaces; 1 Description of the Problem; 2 First Approximation; 3 Second Approximation 4 Third Approximation6 Various Results; 1 Periodic Solutions of the Second Kind; 2 Divergence of Lindstedt's Series; 3 Nonexistence of One-to-One Integrals; 7 Attempts at Generalization; 1 The N-Body Problem; Erratum; Bibliography; Author Index; Subject Index
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xxii, 248 pages), illustrations
• Subjects: 530.14; Mathematics; Three-body problem; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Three-body problem; Science -- Mathematical Physics; Science -- Astrophysics & Space Science; Science -- Physics; Science -- Astronomy; Statistical physics; Astrophysics; History of science; Solar system: the Sun & planets; Differentiable dynamical systems; Statistical physics; Planetary science; Mathematics -- Mathematical Analysis; Nonlinear science; Electronic books
• Languages: English
• ISBNs: 9783319528991; 3319528998
• Related ISBNs: 9783319528984; 331952898X
• Notes: Note: Includes bibliographical references and indexes.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 22, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.