{"product_id":"9783662557723","title":"Mathematical Physics : Classical Mechanics (UNITEXT) \u003cVol. 109\u003e","description":"\u003cp\u003eAs a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics.\u003c\/p\u003e\u003cp\u003eThe book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003eRemarks on Mathematial Physics.- 1 Introduction.- 2 Dynamical Systems.- 3 Ordinary Differential Equations.- 4 Linear Dynamics.- 5 Classification of Linear Flows.- 6 Hamiltonian Equations and Symplectic Group.- 7 Stability Theory.- 8 Variational Principles.- 9 Ergodic Theory.- 10 Symplectic Geometry.- 11 Motion in a Potential.- 12 Scattering Theory.- 13 Integrable Systems and Symmetries.- 14 Rigid and Non-Rigid Bodies.- 15 Perturbation Theory.- 16 Relativistic Mechanics.- 17 Symplectic Topology.- A Topological Spaces and Manifolds.- B Differential Forms.- C Convexity and Legendre Transform.- D Fixed Point Theorems, and Results about Inverse Images.- E Group Theory.- F Bundles, Connection, Curvature.- G Morse Theory.- H Solutions of the Exercises.- Bibiography.- Index of Proper Names.- Table of Symbols.- Image Credits.- Index.\u003c\/p\u003e \u003cp\u003eAndreas Knauf is a professor of mathematics at the Friedrich-Alexander Universität Erlangen-Nürnberg. His research interests include classical, quantum and statistical mechanics.\u003c\/p\u003e \u003cp\u003eHe is the author, with Markus Klein, of the book 'Classical Planar Scattering by Coulombic Potentials' and, with Yakov Sinai, of the book 'Classical Nonintegrability, Quantum Chaos'.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":52387368894775,"sku":"00000_00000_00000_00000","price":650.1,"currency_code":"MYR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0962\/3548\/7543\/files\/9783662557723-1.jpg?v=1783274745","url":"https:\/\/kinokuniya.com.my\/products\/9783662557723","provider":"Books Kinokuniya Malaysia","version":"1.0","type":"link"}