Mathematical Physics: Classical Mechanics
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...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | La Matematica per il 3+2
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of 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 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