Mathematical Physics: Classical Mechanics

• Κύριος συγγραφέας: Knauf, Andreas (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: La Matematica per il 3+2, 109
• Θέματα: Mathematical physics.; Mathematical Physics.; Theoretical, Mathematical and Computational Physics.

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 fascina...

Πίνακας περιεχομένων:

• 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.