vbid/9783319536910

Description

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 mathematics and engineering students. � It is a well-organized and accessible introduction to the subject � . This is an attractive book � .” (William J. Satzer, The Mathematical Association of America, March, 2009) �The second edition of this text infuses new mathematical substance and relevance into an already modern classic � and is sure to excite future generations of readers. � This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. � it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.� (Marian Gidea, Mathematical Reviews, Issue 2010 d)Typham this is the title: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem 3rd Edition