Download PDF A Mathematical Introduction to Fluid Mechanics (Texts in Applied Mathematics) (v. 4)
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A Mathematical Introduction to Fluid Mechanics (Texts in Applied Mathematics) (v. 4)
Download PDF A Mathematical Introduction to Fluid Mechanics (Texts in Applied Mathematics) (v. 4)
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Review
 From the reviews: "… The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." Physicalia
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Product details
Series: Texts in Applied Mathematics (Book 4)
Hardcover: 172 pages
Publisher: Springer; 3rd edition (June 16, 2000)
Language: English
ISBN-10: 0387979182
ISBN-13: 978-0387979182
Product Dimensions:
6.1 x 0.6 x 9.2 inches
Shipping Weight: 14.4 ounces (View shipping rates and policies)
Average Customer Review:
2.5 out of 5 stars
4 customer reviews
Amazon Best Sellers Rank:
#1,399,729 in Books (See Top 100 in Books)
The book is excellent for a mathematician or a engineering student with good math basis. You do not need to know a lot of advance math in order to follow the book. However I think more formalism should be included in some essential parts of the book and it also should include a few more examples.
This book looks like it was written with a typewriter. The text is very light and sometimes hard to read.
The presentation is needlessly confusing, and feels more like abridged class notes than a proper and rigorous introduction. Overall, the subject is presented starting from the specific to the general case ( viscous flow ), which doesn't help here. Also, the lack of tensor notation is detrimental ( especially when talking about tensors! ).For those looking for a proper mathematical approach to fluid mechanics, I would recommend instead Rutherford Aris' "Vectors, Tensors and the Basic Equations of Fluid Mechanics". Night and Day! For instance, Aris's introduction of Lagrangian and Eulerian viewpoints along with the material derivative is exemplary in its clarity. Aris' book also has the advantage of tending to introduce the general equations first, and trimming them down for specific cases, which helps a lot. Why learn the simplified equations, when it is not the full story? For example, Cauchy's equation of motion is given with the divergence of the stress tensor from the start -- and is always true --, rather than the gradient of pressure, which is a sub-case pertaining to non-viscous flow.
I would agree with the first reviewer's comments that this is an excellent book for someone with a strong advanced math background. It is a very concise mathematical treatment of fluid mechanics. I can also see why the 2nd reviewer had some issues. I would not recommend this book for an undergrad class as it does not have very strong verbal descriptions of the mathematical formulas which would make understanding somewhat difficult to the non-mathematician, but I would not trust his judgment on accuracy. This book is very good for the graduate engineer that wants to challenge his understanding of fluid mechanics to a more mathematical understanding. If you are not confident in your math skills however, you may want to look elsewhere.
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