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Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Engineering)

Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Engineering)
Author: Rutherford Aris
Publisher: Dover Publications
Category: Book

List Price: $15.95
Buy New: $9.00
You Save: $6.95 (44%)



New (18) Used (19) from $6.86

Avg. Customer Rating: 4.5 out of 5 stars 11 reviews
Sales Rank: 36973

Media: Paperback
Number Of Items: 1
Pages: 300
Shipping Weight (lbs): 0.7
Dimensions (in): 8.4 x 5.3 x 0.7

ISBN: 0486661105
Dewey Decimal Number: 532
EAN: 9780486661100
ASIN: 0486661105

Publication Date: January 1, 1990
Availability: Usually ships in 1-2 business days
Condition: brand new, no damage or shelfwear, no markings ,notes or highlights , mint condition

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Editorial Reviews:

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.



Customer Reviews:   Read 6 more reviews...

5 out of 5 stars a necessary book for working on fluid dynamics   August 5, 2008
this is really a nice book if you want to work on fluid mechanics. it provides you the equations of fluid mechanics in different coordinate system.


5 out of 5 stars awesome!!!   September 23, 2007
 0 out of 1 found this review helpful

the book was gr8!!

brand new as promised of course, and promptly delivered. im verrry happy



4 out of 5 stars Typical Maths Book   August 20, 2007
There is some very important information given in this book. However I still need to do much reading around tensor calculus as I feel that there were not enough worked examples using Christoffel notation.


4 out of 5 stars Mathematical Foundations of Fluid Mechanics   May 6, 2007
 2 out of 2 found this review helpful

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.


5 out of 5 stars Very complete introduction to tensor analysis in 3 dimensions.   September 28, 2006
 5 out of 6 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.

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