Andreas Knauf

Mathematical Physics: Classical Mechanics (eBook, PDF)

Übersetzer: Denzler, Jochen

• Format: PDF

Produktbeschreibung

Accessible introduction to Hamiltonian dynamics

Contains KAM theory

Many exercises with solutions

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 683
• Erscheinungstermin: 24. Februar 2018
• Englisch
• ISBN-13: 9783662557747
• Artikelnr.: 52943872

Autorenporträt

Andreas Knauf is a professor of mathematics at the Friedrich-Alexander Universität Erlangen-Nürnberg. His research interests include classical, quantum and statistical mechanics.

He is the author, with Markus Klein, of the book ,Classical Planar Scattering by Coulombic Potentials' and, with Yakov Sinai, of the book ,Classical Nonintegrability, Quantum Chaos'.

Inhaltsangabe

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.