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Product Description
The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics, and will be suitable for all undergraduates coming to the subject for the first time. Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.
About the Author
D. J. Acheson is at Jesus College, Oxford.
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First Sentence
Take a shallow dish and pour in salty water to a depth of 1 cm. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
Take a shallow dish and pour in salty water to a depth of 1 cm. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Most Helpful Customer Reviews
13 of 13 people found the following review helpful
Format:Paperback
I found this book vital in plugging a hole in my knowledge in the step up from undergraduate maths to post-graduate applied maths - the book's approach pleased me very much as it is rooted in the mathematics of the subject. No equation is plucked from the air - the fluid dynamics is described from first principles, for both viscous and non-viscous flows, with some investigation into boundary layers.
The exercises are particularly useful, and the answers given are detailed. Probably a good working knowledge of vector calculus is needed, although the method for calculating divergence and curl in curvilinear coords is well explained in appendices. The chapter on waves is a good read - some rather paradoxical results there.
Most Helpful Customer Reviews on Amazon.com (beta)
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5 reviews
22 of 22 people found the following review helpful
Best Fluid Book Ever
12 Jun 2001
Format:Paperback
This is the clearest book on fluid dynamics that I've seen. It's perfect for physics students who need a quick review of the subject. It does an amazing job of relating the math to the reality. Many of the problems make reference to research as recent as the 1980's. This book isn't the last word on anything (for example the information on instability is only the beginning), but it's an amazing place to start. As for the down sides, the math requirements in my opinion are a little steeper than the back cover implies. It pretty much assumes that you know complex variables and the residue theorem, and although it avoids the more difficult PDEs, it might help to know some things about them. And this isn't really a down side, but a lot of interesting information is tied to the problems, which may bother some readers.
13 of 13 people found the following review helpful
Very pedagogical fluid dynamics book
4 Sep 2000
Format:Paperback
This book is one of the most stimulating books on fluid mechanics that I have come across. It is very carefully written and well organized. The physics behind the phenomena are vividly explained. The subject is, however, mathematically difficult and the book should not be attempted without advanced calculus and vector analysis.
3 of 4 people found the following review helpful
A good attempt at softening this frightening subject
7 Aug 2009
Format:Paperback
First of all, there is nothing elementary about fluid dynamics. This book was recommended in a course I took as a first year Chemistry PhD student. If I didn't have a professor there to ask questions to, I would have never understood this subject just from this book. It is a good reference to this subject, but definitely has no sections that read like a cover-to-cover introductory textbook. Everything I needed to know and more is in there, I just have to read sections over and over to understand it!
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