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Mathematical Physics: Classical Mechanics

Mathematical Physics: Classical Mechanics
Catalogue Information
Field name Details
Dewey Class 530.15
Title Mathematical Physics: Classical Mechanics ([EBook]) / by Andreas Knauf.
Author Knauf, Andreas
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2018.
Physical Details XIV, 683 p. 92 illus., 53 illus. in color. : online resource.
Series Unitext 2038-5714 ; ; 109
ISBN 9783662557747
Summary Note As 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. The 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.:
Contents note Remarks 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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