书目名称 | Introduction to Hamiltonian Dynamical Systems and the N-Body Problem |
编辑 | Kenneth R. Meyer,Daniel C. Offin |
视频video | |
概述 | Provides an introduction to an advanced area of research ideal for beginners.Problems included at the end of each chapter.Included topics lead to current literature and research.Includes supplementary |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | .This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. .The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view..This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike.. .Reviews of the second edition:."The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematic |
出版日期 | Textbook 2017Latest edition |
关键词 | Hamiltonian Systems; Dynamical Systems; Symplectic; Hamiltonian Matrices; Restricted 3-body Problem; Peri |
版次 | 3 |
doi | https://doi.org/10.1007/978-3-319-53691-0 |
isbn_softcover | 978-3-319-85218-8 |
isbn_ebook | 978-3-319-53691-0Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer International Publishing AG 2017 |