Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Author: Kenneth Meyer
Publisher: Springer Science & Business Media
Total Pages: 304
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475740735

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The theory of Hamiltonian systems is a vast subject which can be studied from many different viewpoints. This book develops the basic theory of Hamiltonian differential equations from a dynamical systems point of view. That is, the solutions of the differential equations are thought of as curves in a phase space and it is the geometry of these curves that is the important object of study. The analytic underpinnings of the subject are developed in detail. The last chapter on twist maps has a more geometric flavor. It was written by Glen R. Hall. The main example developed in the text is the classical N-body problem, i.e., the Hamiltonian system of differential equations which describe the motion of N point masses moving under the influence of their mutual gravitational attraction. Many of the general concepts are applied to this example. But this is not a book about the N-body problem for its own sake. The N-body problem is a subject in its own right which would require a sizable volume of its own. Very few of the special results which only apply to the N-body problem are given.


Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 304
Authors: Kenneth Meyer
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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The theory of Hamiltonian systems is a vast subject which can be studied from many different viewpoints. This book develops the basic theory of Hamiltonian diff
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 404
Authors: Kenneth Meyer
Categories: Mathematics
Type: BOOK - Published: 2008-12-05 - Publisher: Springer Science & Business Media

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Arising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamiltonian systems, as well
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 312
Authors: Kenneth Meyer
Categories:
Type: BOOK - Published: 2014-01-15 - Publisher:

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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 384
Authors: Kenneth R. Meyer
Categories: Mathematics
Type: BOOK - Published: 2018-07-28 - Publisher: Springer

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This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, reade
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Language: en
Pages: 0
Authors: Kenneth Meyer
Categories: Mathematics
Type: BOOK - Published: 2010-11-29 - Publisher: Springer

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Arising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamiltonian systems, as well