Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Author:   Kenneth R. Meyer ,  Daniel C. Offin
Publisher:   Springer International Publishing AG
Edition:   3rd ed. 2017
Volume:   90
ISBN:  

9783319536903


Pages:   384
Publication Date:   24 May 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem


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Author:   Kenneth R. Meyer ,  Daniel C. Offin
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   3rd ed. 2017
Volume:   90
Weight:   7.214kg
ISBN:  

9783319536903


ISBN 10:   3319536907
Pages:   384
Publication Date:   24 May 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Beginnings.- Hamiltonian Systems.- Celestial Mechanics.- The Restricted Problem.- Topics in Linear Theory.- Local Geometric Theory.- Symplectic Geometry.- Special Coordinates.- Poincaré’s Continuation Method.- Normal Forms.- Bifurcations of Periodic Orbits.- Stability and KAM Theory.- Variational Techniques.

Reviews

The book begins as an elementary introduction to the theory of Hamiltonian systems, taking as a starting point Hamiltonian systems of differential equations and explaining the interesting features they have with the help of classical examples. ... the book can be used at an advanced undergraduate or beginning graduate level as an introduction to these subjects, in particular when one is interested in their impact on classical (celestial) mechanics. (Johannes Giannoulis, zbMATH 1372.70002, 2017)


“The book begins as an elementary introduction to the theory of Hamiltonian systems, taking as a starting point Hamiltonian systems of differential equations and explaining the interesting features they have with the help of classical examples. … the book can be used at an advanced undergraduate or beginning graduate level as an introduction to these subjects, in particular when one is interested in their impact on classical (celestial) mechanics.” (Johannes Giannoulis, zbMATH 1372.70002, 2017)


Author Information

Ken Meyer  has a long history of working in Hamiltonian differential equations and the N-body problem.  He has over 100 papers published.     Daniel Offin is an active researcher in the theory of Hamiltonian systems using variational methods. He has made some important contributions to celestial mechanics using the Maslov index.

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