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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.
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.