I found this book vital in plugging a hole in my knowledge in the step up from undergraduate maths to post-graduate applied maths - the book's approach pleased me very much as it is rooted in the mathematics of the subject. No equation is plucked from the air - the fluid dynamics is described from first principles, for both viscous and non-viscous flows, with some investigation into boundary layers. The exercises are particularly useful, and the answers given are detailed. Probably a good working knowledge of vector calculus is needed, although the method for calculating divergence and curl in curvilinear coords is well explained in appendices. The chapter on waves is a good read - some rather paradoxical results there.
The book is very well bound for a paperback. Also the size of its fonts is kind to those whom need glasses.
* The areas covered
These areas are Introduction, Elementary Viscous Flow, Waves, Classical Aero foil Theory, Vortex Motion, Navier - Stokes Equation, Very Viscous Flow, Boundary Layers, Instability, Appendix Hints and answers
And the best of all Appendix Hints and answers. This is a great crib list of Vector stuff, Divergence theorem Stokes Theorem, Orthogonal stuff and coordinate systems for Cylindrical and Spherical when applied to Navier - Stokes equations. The answers are really helpful and have been a boon to help me along when stuck. Its been a REALLY rewarding challenge to break this topic. Although I must add that I have not grasped ALL of this and its still some outstanding topics to take in.
* What is the authors teaching style?
Whilst your studying your way through the topics, the author builds a BROAD supportive level of knowledge. Then this allows you to work within these platforms to fit them together more closely.
Another feature working with this book, whilst studying it you need a firm grasp of the fundamental supporting levels. This shows a 'transparency' by 'looking down' from these higher areas and reach down into the more elemental supporting areas all at the same time. Its wonderful! It has a great sense of continuity as your not left 'boxed-in' when your reading. This is only done with a great amount of feedback from tests in the field with students?
* What stands out?
By the two approach methods, 'Classical Aerofoil Theory' proved a revelation. It describes having a very simple model of a object in a airflow and by application of conformal mapping techniques - in the z domain - upon this simple model to mathematically GO AROUND this too - simplistic model and yet still generate a Joukowski airfoil (in particular p. 136 -137) . This 'trick' is a revelation to me! I have heard of this technique before but not described as eloquently as in this text.
This is -i.m.h.o - a great student friendly book of fluid dynamics. Its taken a lot of time but its been a delight to read and its a really well written book.
Oh yes, if you are somewhat adrift with these z domains floating around in this great book, I recommend the two Strouds; 'Engineering Mathematics' & (especially) 'Further / Advanced Engineering Mathematics' to help you and give a foot-in-the -door. Yes I am now a convert to these books!