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£47.69

Cambridge University Press Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts)

Name: Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts)
Brand: Cambridge University Press
Price: 47.69 GBP
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Differential Equations

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Description

Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the Kolmogorov–Arnold–Moser theorem, Nekhoroshev's theorem and superexponential stability. Its analytic approach allows students to learn about perturbation methods leading to advanced results. Key topics covered include Liouville's theorem, the proof of Poincaré's non-integrability theorem and the nonlinear dynamics in the neighbourhood of equilibria. The theorem of Kolmogorov on persistence of invariant tori and the theory of exponential stability of Nekhoroshev are proved via constructive algorithms based on the Lie series method. A final chapter is devoted to the discovery of chaos by Poincaré and its relations with integrability, also including recent results on superexponential stability. Written in an accessible, self-contained way with few prerequisites, this book can serve as an introductory text for senior undergraduate and graduate students.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 1009151134
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 05 May 2022
Listed Since: 02 October 2021

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Cambridge University Press Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts)

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