Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Engineering) | 
enlarge | Author: Rutherford Aris Publisher: Dover Publications Category: Book
List Price: $15.95 Buy New: $9.61 You Save: $6.34 (40%)
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Rating: 11 reviews Sales Rank: 36207
Media: Paperback Pages: 300 Number Of Items: 1 Shipping Weight (lbs): 0.7 Dimensions (in): 8.4 x 5.4 x 0.7
ISBN: 0486661105 Dewey Decimal Number: 532 EAN: 9780486661100
Publication Date: January 1, 1990 Availability: Usually ships in 1-2 business days Shipping: International shipping available Condition: Brand New, Perfect Condition, Please allow 4-14 business days for delivery. 100% Money Back Guarantee, Over 1,000,000 customers served.
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Product Description
Introductory text for engineers, physicists, and applied mathematicians applies mathematics of Cartesian and general tensors to physical field theories, demonstrating them chiefly in terms of the theory of fluid mechanics. Many exercises throughout the text. Index. Preface. Appendixes.
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| Customer Reviews: Read 6 more reviews...
Very complete introduction to tensor analysis in 3 dimensions. September 28, 2006 Daverz 7 out of 8 found this review helpful
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.
Not for the weakhearted! February 26, 2004 Vivek Sharma (Cambridge / Boston, MA, USA) 12 out of 17 found this review helpful
This is one of those pithy classics that one needs to tread through very very carefully. The book is an uphill task, wherein rests its utility and fun. Fluid Mechanics in its simplified diluted version is served in many OTHER textbooks. This one serves it in its raw mathematical glory, and as the author says in the preface of the book, any serious engineer and fluid mechanician must realize that math must be befriended and mastered. The author makes very terse, and powerful introduction to the field. I would recommend a physicist to supplement it with a text by Faber, for Chemical Engineer to study it after the famous BSL (Transport Phenomenon), for a mathematician to pick it on any day, and for everyone in general to approach it with determination required to climb a rocky terrain. (Ah! I guess I would write an even better review if and when I finish reading it:)
Too good! March 17, 2000 26 out of 38 found this review helpful
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!
Aris on fluid dynamics April 19, 2006 D. Mihalas (Los Alamos, NM United States) 1 out of 2 found this review helpful
This book is simply magnificent. ANYONE interested in fluid dynamics should own it!
awesome!!! September 23, 2007 Shaunak M. Vora 0 out of 2 found this review helpful
the book was gr8!! brand new as promised of course, and promptly delivered. im verrry happy
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