Graduate-level text provides strong background in more abstract areas of dynamical theory. Hamilton's equations, d'Alembert's principle, Hamilton-Jacobi theory, other topics. Problems and references. Since Lagrange laid the foundation of analytical dynamics some two centuries ago, the discipline has continued to evolve and develop, embracing the theories of Hamilton and Jacobi, Einstein's relativity theory and advanced theories of classical mechanics.This text proposes to give graduate students in science and engineering a strong background in the more abstract and intellectually satisfying areas of dynamical theory. It is assumed that students are familiar with the principles of vectorial mechanics and have some facility in the use of this theory for analysis of systems of particles and for rigid-body rotation in two and three dimensions.After a concise review of basic concepts in Chapter 1, the author proceeds from Lagrange's and Hamilton's equations to Hamilton-Jacobi theory and canonical transformations. Topics include d'Alembert's principle and the idea of virtual work, the derivation of Langrange's equation of motion, special applications of Lagrange's equations, Hamilton's equations, the Hamilton-Jacobi theory, canonical transformations and an introduction to relativity.Problems included at the end of each chapter will help the student greatly in solidifying his grasp of the principal concepts of classical dynamics. An annotated bibliography at the end of each chapter, a detailed table of contents and index, and selected end-of-chapter answers complete this highly instructive text.
Product Identifiers
Publisher
Dover Publications Inc.
ISBN-13
9780486696904
eBay Product ID (ePID)
94783363
Product Key Features
Author
Donald T. Greenwood
Publication Name
Classical Dynamics
Format
Paperback
Language
English
Subject
Physics
Publication Year
2003
Type
Textbook
Number of Pages
368 Pages
Dimensions
Item Height
215mm
Item Width
136mm
Additional Product Features
Title_Author
Donald T. Greenwood
Series Title
Dover Books ON Physics
Country/Region of Manufacture
United States
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