Foundations Of Mechanics

by Ralph Abraham

Overview

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.

Product Details

ISBN-13:	9780367154967
Publisher:	CRC Press
Publication date:	12/17/2020
Edition description:	2nd ed.
Pages:	848
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Lisa Hoffman is the author of Better Than Ever: The Four-Week Workout Program for Women Over 40. She owns and operates a personal-training company in Manhattan.

Table of Contents

Part I: Preliminaries 1. Differential Theory 2. Calculus on Manifolds Part II: Analytical Dynamics 3. HamiHonlan and Lagrangian Systems 4. Hamiltonian Systems with Symmetry 5. Hamilton-Jacobi Theory and Mathematical Physics Part III: An Outline of Qualitative Dynamics 6. Topological Dynamics 7. Differentiable Dynamics 8. Hamiltonian Dynamics Part IV: Celestial Mechanics 9. The Two-Body Problem 10. The Three-Body Problem