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Classical Mechanics by G. Aruldhas is a highly respected textbook designed for undergraduate and postgraduate students of physics and engineering. The book provides a comprehensive and systematic treatment of the fundamental principles of mechanics, bridging the gap between basic concepts and advanced theoretical frameworks.
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| Chapter | Topic Covered | Relevance | | :--- | :--- | :--- | | 1 | Fundamentals of Newtonian Mechanics | Revision of vectors, inertial frames, conservation laws. | | 2 | Lagrangian Formulation | Generalised coordinates, D’Alembert’s principle, Lagrange’s equations. | | 3 | Calculus of Variations | Derivation of Euler-Lagrange equation, geodesics. | | 4 | Hamiltonian Formulation | Legendre transformation, Hamilton’s equations, Routhian. | | 5 | Canonical Transformations | Generating functions, Poisson & Lagrange brackets. | | 6 | Hamilton-Jacobi Theory | Action-angle variables, separation of variables. | | 7 | Small Oscillations | Normal modes, frequencies, coupled oscillators. | | 8 | Rigid Body Dynamics | Euler’s angles, inertia tensor, symmetric top. | | 9 | Special Relativity (Brief) | Lorentz transformations, relativistic Lagrangian. |
Detailed sections on constraints, D'Alembert's Principle, and Hamilton's Principle. Advanced Dynamics: Includes specialized chapters on Nonlinear Dynamics Classical Chaos Special Theory of Relativity: The book provides a comprehensive and systematic treatment
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For decades, Indian students pursuing postgraduate degrees in physics have relied on his texts. His writing style is distinct: it breaks down complex topics like Lagrangian and Hamiltonian formulations into digestible segments, making them accessible without diluting the rigor required for competitive examinations like NET, SET, and GATE.
The book is praised for its —it begins with simple systems and gradually builds up to advanced concepts without assuming prior exposure to variational principles.