Overview

This book, Classical Mechanics and Advanced Applications, is part of a comprehensive series designed for students preparing for CSIR NET (JRF) in Mathematical Science and various other mathematics competitive exams. It presents core concepts and advanced techniques in classical mechanics, tailored to meet the needs of aspirants seeking a deeper understanding of the subject. The book begins with an introduction to generalized coordinates and Lagrange's equations of motion, forming the foundation of classical mechanics. It progresses to Hamilton's canonical equations and transformations, providing insights into Hamiltonian mechanics. The application of variational principles, including Hamilton's Principle and the Principle of Least Action, is explored to understand dynamical systems. Rigid body dynamics and the theory of small oscillations are covered in detail, including normal modes, frequencies, and stability analysis, making this book an essential resource for mastering classical mechanics.

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