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Most Helpful Customer Reviews
11 of 12 people found the following review helpful:
5.0 out of 5 stars
A very nice introduction,
By TIAGO QUINTINO (Lisbon, Portugal) - See all my reviews
This review is from: Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover books on engineering) (Paperback)
This work provides general notions of tensor and vector algebra in applied mechanics with special application to Fluid mechanics.The book is a very good introductory text for students and a precious reference for engineers and scientists. The author is concise and elegant in the explanations. Supplied exercises at the end of each chapter help consolidate the material explained. Commented bibliography is very helpful in deepening the knowledge in a given subject. The summary in the appendix quite useful for quick browsing over some forgotten property or detail.
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Most Helpful Customer Reviews on Amazon.com (beta) Amazon.com:
4.6 out of 5 stars (13 customer reviews) 22 of 24 people found the following review helpful:
4.0 out of 5 stars
Mathematical Foundations of Fluid Mechanics,
By Utah Blaine - Published on Amazon.com
This review is from: Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover books on engineering) (Paperback)
The title and many of the Amazon reviews of this book are misleading in my opinion. This book should have been titled `The Mathematical Foundation of Fluid Mechanics'. This book describes, in gory detail, the fundamental mathematics of viscous fluid flow. The text is, obviously, heavy on vector and tensor calculus. The first few chapters review the basic theorems of vector and tensor calcular relevent to fluid dynamics. The basic equations of fluid dynamics are then derived, and the analysis is extended to viscous flow. Finally, Aris discusses coordinate transformation and tensor analysis (that is really more of a lead-in to GR than fluid dynamics, although it is interesting to see how this all ties together!). This is NOT a `complete' text in hydrodynamics. There is no discussion of turbulence, supersonic flow, instabilities, etc. This is a text on the mathematical (and geometrical) foundations of hydrodynamics. As such, I view this as an advanced text for a researcher who wants to understand hydrodynamics at it's most complete, fundamental mathematical level. If you are searching for any other type of hydrodynamics text, just move on. The reason that I only gave this book four stars was because I feel that hydrodynamics is a much richer discipline than what is contained within this book. Some of the most enthusiastic reviews greatly overstate the value of working through this book. You will learn quite a bit by going through this book, and it is a great text IF you want to study the foundations of hydrodynamics in great detail, but you will need (alot) more if you want to begin to appreciate fluid mechanics.
11 of 12 people found the following review helpful:
5.0 out of 5 stars
Very complete introduction to tensor analysis in 3 dimensions.,
By Daverz - Published on Amazon.com
This review is from: Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover books on engineering) (Paperback)
This would make a good introduction to tensors for physics students (e.g. for General Relativity), though the approach is a completely classical, using index notation; you won't find anything on manifolds or differential forms here. An interesting feature is an extensive chapter on local surface theory (e.g. Gaussian curvature, but only after introducing the full Riemann tensor), which is good for building intuition about curvature in higher dimensions. While the applications are all in n <= 3 dimensions, the mathematics is done in a way that easily generalizes to higher dimensions.
28 of 37 people found the following review helpful:
5.0 out of 5 stars
Too good!,
By "rishiputra" - Published on Amazon.com
This review is from: Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover books on engineering) (Paperback)
Well, I don't want to go into an endless list of superlatives which this book really deserves. I'd rather point out some of its features. It's terse, sometimes awfully so & therefore, this's not the best book to learn the "basics". Don't expect any elementary physics of fluid flow. I've only read the first half of the book and in those less-than-hundred pages, I've appreciated fluid mechanics much more than I've by any other means. However, I must say that the so-called "indices" notation for vectors and tensors can be extremely frustrating and even confusing. This notation is so extensively used in the book that it can become possibly the only reason to put the book down. The order of presentation is quite nice. There are few problems to solve which mostly seem to fill in the details of presentation. The last chapter on mass transport is a disappointment, with nothing close to what one would expect in a book of this stature. It is however included only because "it would be unpardonable not to do so, for a book coming from Chemical Engineering dept". The author says in his preface that the time has come to go beyond the notion that engineers don't need rigorous applied mathematics and he proves his point in every page of his book. It's a pleasure to read and work on, especially the second half of the book. With patience, paper and pencil (lots of them), one can gain a real mastery over the subject. A true graduate-level book! |
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