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Title: Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Engineering)
ISBN: 0486661105
Author:
Rutherford Aris
Publicate Date: 1990-01-01
Publish: 1990-01-01
List Price: $15.95
Average Customer Rating: 4.5
Format: Paperback
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Amazon Lowest New Price: $9.50
Amazon Lowest Used Price: $9.47
Amazon Merchant Price: $10.85
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| Customer Review: |
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1: a necessary book for working on fluid dynamics
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.
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2: awesome!!!
the book was gr8!!
brand new as promised of course, and promptly delivered. im verrry happy
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3: Typical Maths Book
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.
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4: Mathematical Foundations of Fluid Mechanics
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.
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5: Very complete introduction to tensor analysis in 3 dimensions.
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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