Foundations of Mechanics (Second Edition) Abraham, Ralph & Marsden, Jerrold E

Foundations of Mechanics (Second Edition) Abraham, Ralph & Marsden, Jerrold E 2011; 852 pp; Paperback; 180 × 240 mm; 978-0-8218-6875-1 For sale only in India,Pakistan,Nepal,Bhutan,Bangladesh,Sri Lanka,Maldives Series: Indian Editions of AMS Titles 1,375.00 For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics Table of Contents Introduction Preview Part I: Preliminaries Differential Theory Calculus on Manifolds Part II: Analytical Dynamics Hamiltonian and Lagrangian Systems Hamiltonian Systems with Symmetry Hamilton-Jacobi Theory and Mathematical Physics Part III: An Outline of Qualitative Dynamics Topological Dynamics Differentiable Dynamics Hamiltonian Dynamics Part IV: Celestial Mechanics The Two-Body Problem The Three-Body Problem Bibliography Index About the Author Ralph Abraham has been a member of the mathematics department at the University of California, Santa Cruz since 1968 Jerrold Eldon Marsden was an applied mathematician and the Carl F. Braun Professor of Engineering and Control & Dynamical Systems at the California Institute of Technology, Pasadena, CA.