Product Description

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Product Details

• Amazon Sales Rank: #506502 in Books
• Published on: 1997-09-23
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 509 pages

Customer Reviews

The best ever book on classical mechanics.
Written by a great mathematician of our time, Vladimir Arnol'd, this truly outstanding book represents classical mechanics from a unifying geometrical point of view and is a "must-to-read" book for any graduate student working in the field. Proofs are wonderfully clear and concise, problems are refreshingly stimulating, ideas are beautifully intuitive. Buy this book now and you will get a long time good friend and teacher!

A Masterpiece. The Best Book on Classical Mechanics.
Throw away Goldstein. This book is the bible of classical mechanics.

Exceptional book
This book is perhaps one of the best texts on the formalism of classical mechanics. I've bought many books on the subject but this is title beats them all.