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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.
- Sales Rank: #611464 in Books
- Published on: 1997-07-07
- Released on: 1997-07-07
- Original language: English
- Number of items: 1
- Dimensions: 8.56" h x .55" w x 5.38" l, .82 pounds
- Binding: Paperback
- 368 pages
About the Author
Donald T. Greenwood received his PhD from the California Institute of Technology, and is a Professor Emeritus of aerospace engineering at the University of Michigan, Ann Arbor. Before joining the faculty at Michigan he worked for the Lockheed Aircraft Corporation, and has also held visiting positions at the University of Arizona, the University of California, San Diego, and ETH Zurich. He is the author of two previous books on dynamics.
Most helpful customer reviews
16 of 16 people found the following review helpful.
Excellent Supporting Book
By A Customer
This book is an excellent read, and it explains concepts with unusual clarity. I wouldn't suggest it as a main text, but it is an excellent supplement to others, such as Goldstein or Jose and Saletan. I found this little book explained many concepts far better than these "standards" that are used in most graduate mechanics courses. It includes many nice examples. It also includes the answers to the problems in the back. How often do you see that in a graduate level book? I also think it is an excellent read for physics graduate students, who are just trying to get through the comprehensive exam rather than master the details of classical mechanics.
20 of 22 people found the following review helpful.
sometimes difficult to read, but the problems are excellent
By A Customer
This book can be compared with Walter Rudin's Principles of Mathematical Analysis in that it is very terse and the reader must sit with pencil and paper to fill in many details, both in the theory and example problems. It is the case that this process actively engages the reader into the subject and permits a deeper, fuller understanding than just reading the results and final equations. Having less detail in the theory is understandable, but I've found that the example problems are equally as difficult to follow; this makes it increasingly tough to solve his problems (though once I solve a problem, I feel a great sense of accomplishment) On problems: the problems are very well thought out and complement the theoretical section of the text quite well.
23 of 26 people found the following review helpful.
From my experience with the book
By Graduate instructor
Chronologically, "Classical Dynamics" was Donald Greewood's second major publication on Analytical Dynamics, covering more advanced topics than the ones in "Principles of Dynamics," whose first edition preceded "Classical Dynamics" by some 12 years.
"Classical Dynamics" is a somewhat more readable text, but just like its companion book, it fails to address issues like how one can use Lagrange's equations (or Hamilton's, for that matter) to correctly account for the effects of nonlinear dissipative forces. Also, its treatment of velocity-dependent potentials could be substantially extended, as could the chapter on Relativity.
On the other hand, the chapters on variational principles, the Pprinciple of Least Action, Hamilton's mechanics, and, above all, canonical transformations are an absolute "must-read"!
An updated, extended second edition would be most welcome now.
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