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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)
Internet Site	http://dx.doi.org/10.1007/978-3-662-55774-7
Links to Related Works	Subject References: Mathematical Physics . Mathematics . Physics . Theoretical, Mathematical and Computational Physics . Authors: Knauf, Andreas . Corporate Authors: SpringerLink (Online service) . Series: Unitext . Classification: 530.15 .

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Mathematical Physics: Classical Mechanics

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