Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

AvKenneth R. Meyer,Daniel C. Offin

Inbunden, Engelska, 2017

Del 90 i serien Applied Mathematical Sciences

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Beskrivning

Providing expanded material on the restricted three body problem and celestial mechanics, the third edition has new material on reduction, orbifolds and the regularization of the Kepler problem, all with applications. It provides a mathematical structure of celestial mechanics for beginners, and will be useful to graduate students and researchers.

Produktinformation

Utgivningsdatum:2017-05-24
Mått:155 x 235 x 30 mm
Vikt:752 g
Format:Inbunden
Språk:Engelska
Serie:Applied Mathematical Sciences
Antal sidor:384
Upplaga:3
Förlag:Springer International Publishing AG
ISBN:9783319536903

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Mer om författaren

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.

Recensioner i media

“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)

Innehållsförteckning

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.