CLASSICAL MECHANICS: ANALYTICAL DYNAMICS-------PHI

Description:

Intended as a text for postgraduate students of mathematics, this compact and well-organized book offers insights into the principles of classical mechanics and, in particular, deals with the problems of dynamical systems.

Divided into seven chapters, the text begins with a discussion on some elementary results of statics and dynamics. It then goes on to analyze at length the Hamiltonian formulation along with the Poisson bracket, the variational principle (taking Euler’s equation of calculus of variation as the base), and different forms of the variational principle. Finally, the text explains the integral invariants, canonical transformations, and the Hamilton–Jacobi theory.

KEY FEATURES • A fairly large number of worked-out examples are interspersed throughout the text to illustrate the application of the concepts to the problems discussed. • Miscellaneous Exercises are given at the end of the book to drill the students in self-study. • The text entirely covers UGC model curriculum for M.Sc. (Mathematics).

Contents:
CONTENTS: Preface. Acknowledgements. Introduction. 1. Review of Elementary Principles and Lagrange’s Equations of Motion. 2. Hamilton’s Canonical Equations and Poisson Bracket. 3. Calculus of Variation. 4. Hamilton’s Variational Principle. 5. Integral Invariants. 6. Canonical Transformations. 7. Hamilton–Jacobi Theory and Lagrange Bracket. Miscellaneous Exercises. Answers to Miscellaneous Exercises. Bibliography. Index.