ABSTRACT

Foundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.

part 1|157 pages

Preliminaries

chapter Chapter 1|57 pages

Differential Theory

chapter Chapter 2|98 pages

Calculus on Manifolds

part 2|348 pages

Analytical Dynamics

chapter Chapter 3|92 pages

Hamiltonian and Lagrangian Systems

chapter Chapter 4|117 pages

Hamiltonian Systems with Symmetry

chapter Chapter 5|137 pages

Hamilton-Jacobi Theory and Mathematical Physics

part 3|110 pages

An Outline of Qualitative Dynamics

chapter Chapter 6|11 pages

Topological Dynamics

chapter Chapter 7|52 pages

Differentiable Dynamics

chapter Chapter 8|45 pages

Hamiltonian Dynamics

part 4|124 pages

Celestial Mechanics

chapter Chapter 9|44 pages

The Two-Body Problem

chapter Chapter 10|78 pages

The Three-Body Problem