An advanced text for first-year graduate students in physics and engineering taking a standard classical mechanics course, this is the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organizing principle of the text is integrability vs. nonintegrability. It introduces flows in phase space and transformations early and illustrates their applications throughout the text. The standard integrable problems of elementary physics are analyzed from the standpoint of flows, transformations, and integrability. This approach allows the author to introduce most of the interesting ideas of modern nonlinear dynamics via the most elementary nonintegrable problems of Newtonian mechanics. This text will also interest specialists in nonlinear dynamics, mathematicians, engineers and system theorists.
I think this and any book written by Prof McCauley are absolutely wonderful. I think any physics nerd should read them. I put full faith in Prof McCauley, he's one of the smartest men alive...of course it could be because he's my father!!
Profound insight
Published by Thriftbooks.com User , 21 years ago
I purchased and studied this book shortly after completing an undergraduate class in mechanics. It was incredibly enlightening. After studying this, I realized that I had only received a partial glimpse via the standard undergrad mechanics course. McCauley provides the models to explain dynamics variations that you might think were not discernable.It is a difficult but worthy journey. "Just buy it and the insightwill come"
Must Read On "Integrability"
Published by Thriftbooks.com User , 24 years ago
This book provides an excellent discussion of "integrability" which dispells some confusions that exist about this subject. The style is accessible and the book does not require years of study of differential geometry before reading. My only complaint is that sometimes the discussion drags on longer than I like; a more concise presentation could be made in places. However, this is a minor quibble and a prolonged discussion is definitely less of a defect than an abstract, poorly explained discussion that one finds in too many other books.
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