Classical Mechanics: Transformations, Flows, Integrable and Chaotic Dynamics 1st Edition by Joseph L. McCauley (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “…a fascinating account of the history and foundations of mechanics… a significant and timely, and indeed personal, contribution to the literature on mechanics, and one which will sit comfortably alongside other definitive Cambridge publications.” The Times Higher Education Supplement”This new book on classical dynamics based on new discoveries in chaos is needed and justified because it is written from a new perspective….A particular merit of this book is its instructive presentation of examples of simple dynamic systems….This is a thought provoking book…[it] can serve as both a textbook for physics and engineering graduate students and a reference or self-study book for physicists, engineers and mathematicians….Serious readers who are interested in chaotic dynamics are advised to read Chaos, Dynamics and Fractal–An Algorithmic Approach to Deterministic Chaos by the same author (Cambridge University Press, 1993).” Journal of Mechanical Engineering Science”…well written and easy to follow. It provides an excellent physical insight into the modern theory of nonlinear dynamics. This reviewer enjoyed reading this book very much because it clarifies many issues which are presented in an abstract format in other books.” Applied Mechanics Reviews Book Description An advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is the single most error prone textbook I have ever seen published, and I am astonished that it has gone without any published corrections. I can only speculate that this is due to low demand. While the approach is different from most texts of comparable level and is occasionally insightful, this is offset by lack of clear structure and numerous numerical and symbolic errors. Numerous terms go without definition, and some important concepts which do appear cannot be found in the index. Additionally, the book strays from standard definitions of terms such as integrability, though it usually documents the way it does so. The primary text may be worth glancing at for the alternative methodology, but avoid the problems at the end of each chapter- mostly borrowed from other sources with the highest concentration of typos and errors of the entire book, which is not an insignificant achievement.

⭐you need the rigor here

⭐Ok, so McCauley does succeed in utilizing very useful techniques such as integrability, phase flows, etc., in his book which gets you thinking in terms of concepts every grad student should know that is applicable to many different areas in physics. But, he needs to do a couple of things, that I can think of off the top of my head, to make his book better:1) When I bought the book, I paid for it to learn physics, not to hear him bash the Catholic Church and his thoughts on the multi-causal nature of what factors may have hindered the progress of science throughout history, such as in the 1st chapter. Stick with physics buddy! A Carl Sagan he is not. Also the grammar needs some serious work. Sometimes his sentences are not technically sentences. In fact, I don’t know what they are, but grammar is not his virtue.2) GET YOUR INDICES RIGHT!!! There are way too many errors which is confusing for a student learning this for the first time.3) If you are going to copy problems out of Goldstein, at least copy them correctly. Basically, there is serious revision that needs to occur b/c there are way too many typos.Besides that, I like his approach…it’s modern and interesting, but things could be organized better. Basically, I think you are better starting off with Goldstein and then using McCauley for reference if you plan to do non-linear dynamics etc., later on in your physics career!

⭐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”

⭐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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