Advanced Classical Mechanics

This book is designed to serve as a textbook for postgraduates, researchers of applied mathematics, theoretical physics and students of engineering who need a good understanding of classical mechanics. In this book emphasis has been placed on the logical ordering of topics and appropriate formulation of the key mathematical equations with a view to imparting a clear idea of the basic tools of the subject and improving the problem solving skills of the students. The book provides a largely self-contained exposition to the topics with new ideas as a smooth continuation of the preceding ones. It is expected to give a systematic and comprehensive coverage of the methods of classical mechanics.

Conceptual Basis of Classical mechanics. Virtual Work and D’Alembert’s Principle. Lagrangian Systems. Rotating Frames. Hamiltonian Systems. Small Oscillations. Phase Space Flows. Action Principles. Symmetries and Conservation Laws. Canonical Transformations. Introduction to Dynamical Systems. Special Theory of Relativity.

Bijan Bagchi was born in 1950 in Kolkata, West Bengal, India. He received his B.S., M.S., and Ph.D. degrees from the University of Calcutta, Kolkata, India. He has a variety of research interests and involvements ranging from spectral problems in quantum mechanics to exactly solvable models, supersymmetric quantum mechanics, PT-symmetry and related non-Hermitian phenomenology, nonlinear dynamics and integrable models. He has published about 150 research articles in journals of international repute and held a number of visiting positions. He is the author of the book entitled Supersymmetry in Quantum and Classical Mechanics published by CRC/ Chapman & Hall (2000). He is currently Professor in Applied Mathematics at the University of Calcutta.