Chaddha G. Classical Mechanics 2020

Textbook in PDF format

Discusses the Lagrange's equations of motion, integration of the equation of motion, theory of small oscillations, Hamilton's equations of motion, Lagrangian and Hamiltonian formulations, in nine chapters. The selection of topics of each chapter fulfills the requirement of graduate and undergraduate students.
Lagrange’s Equations
Some Aspects of the Calculus of Variations
Integration of the Equation of Motion
Motion of a Rigid Body
Theory of Small Oscillations
Hamilton’s Equations of Motion
Canonical Transformations
Hamilton - Jacobi Theory
Lagrangian and Hamiltonian Formulation for Continuous Systems