Advanced Classical Mechanics is designed to serve as a textbook for postgraduates, researchers of applied mathematics, theoretical physics and students of enginering 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 imroving the problem solving skills of the students. The book provides a largely self-contained exposition of the topics with new ideas as a smooth continuation of the preciding ones. It is expected to give a systematic and comprehensive coverege of the methods of classical mechanics.