978-81-8487-111-1 Publication Year: 2011
Pages: 294 Binding: Paper Back
About the book
INTRODUCTION TO ANALYTICAL MECHANICS is an attempt to introduce the modern treatment of classical mechanics so that transition to many fields in physics can be made with the least difficulty. This book deal with the formulation of Newtonian mechanics, Lagrangian dynamics, conservation laws relating to symmetries, Hamiltonian dynamics Hamilton’s principle, Poisson brackets, canonical transformations which are invaluable in formulating the quantum mechanics and Hamilton-Jacobi equation which provides the transition to wave mechanics.
• Development of each topic from first principles
• In-text examples to give better insight to students into complicated concepts
• Suitable for independent study, besides use as a text book
• Supplementary problems to reinforce the concept
• Comprehensive index for easy reference
Preface / Fundamentals of Newtonian Mechanics / Lagrangian Dynamics / Conservation Laws and Symmetric Properties / Central Force Fields / Non-Inertial Co-ordinate Systems / Rigid Body Motion / Theory of Small Oscillations / Hamilton’s Principle / Hamiltonian Theory / Canonical Transformations / Hamilton – Jacobi Theory / Bibliography / Answers to Problems / Index.
Undergraduate and Graduate Students in Physics and Mathematics