Analytical Mechanics

Analytical Mechanics is a textbook that introduces the fundamental principles and methods of classical analytical mechanics. The volume presents the analytical formulations that underpin core theoretical physics disciplines, such as quantum theory and statistical mechanics, while highlighting practical applications in celestial mechanics and engineering.

The book examines classical dynamics through Lagrangian and Hamiltonian formulations, while also addressing rigid body motion, small oscillations, and Hamilton–Jacobi theory. The presentation further introduces advanced mechanical topics of a geometric and topological character.

Intended for advanced undergraduate and graduate students in physics, mathematics, and engineering, the volume includes worked examples to support practice and connects theoretical concepts to ongoing research in the field.