Location 
Call number 
Availability 
City Campus 
530.15 KNAU

Available

 Description
 xiv, 683 pages : illustrations (some color) ; 24 cm
 Additional Authors
 Denzler, Jochen,
 Notes
 Contents: 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 NonRigid 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.Includes bibliographical references and index.Summary: 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 (KolmogorovArnoldMoser) 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 selfcontained 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.