Analytical Mechanics

Paperback
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Author: Louis N. Hand

ISBN-10: 0521575729

ISBN-13: 9780521575720

Category: Structural Engineering - General & Miscellaneous

Analytical Mechanics provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at the graduate level. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem solving. It is an ideal textbook for undergraduate courses in...

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An advanced undergraduate-level textbook introducing the key analytical techniques of classical mechanics.

Preface1Lagrangian Mechanics12Variational Calculus and its Application to Mechanics443Linear Oscillators814One-Dimensional Systems: Central Forces and the Kepler Problem1235Noether's Theorem and Hamiltonian Dynamics1706Theoretical Mechanics: From Canonical Transformations to Action-Angle Variables2077Rotating Coordinate Systems2528The Dynamics of Rigid Bodies2839The Theory of Small Vibrations34310Approximate Solutions to Nonanalytic Problems38311Chaotic Dynamics42312Special Relativity493Bibliography559References563Index565

\ From the Publisher"...meets its goal to present the material of analytical mechanics as required in the education of physicists and is recommended for this purpose. The material is presented in a clear way, and it stimulates interest in the subject among others by interjected historical material." Applied Mechanics Review\ "Very modern treatment/selection of topics. Unifying approach (ties to quantum mechanics)." Professor Gary Bowman, Northern Arizona University\ \ \