Mathematical Methods of Classical Mechanics  (English, Hardcover, Arnol'd V.I.)

In Mathematical Methods of Classical Mechanics – Second Edition, V. I. Arnold creates the mathematical apparatus of classical mechanics from the start, examining all the elementary glitches in dynamics, including the theory of rigid body motion, the theory of oscillations, and the Hamiltonian formalism.

Summary of the Book

The modern approach this title discusses based on the theory of the geometry of manifolds, differentiates itself from the outdated approach of standard textbooks. Geometrical attentions are highlighted throughout and they include phase spaces and flows, vector fields, and Lie groups. The book also includes a comprehensive discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods such as averaging, perturbation techniques, and adiabatic invariance.

About V. I. Arnold

V. I. Arnold is an esteemed academician. He is a prolific and versatile mathematician who has done remarkable work in differential equations and geometrical aspects of analysis. Most of his books are collections of his survey articles from Russian Mathematical Surveys on his areas of research - areas to which he has made most of the academic contribution. These surveys contain Arnold's own analyses and syntheses of over a decade's work. Some of the books authored and co-authored by V. I. Arnold are Dynamical Systems VII: Encyclopaedia of Mathematical Sciences and Singularity Theory: London Mathematical Society Lecture Note Series.