A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
Okay so my four star rating requires some explanation, I can completely understand the low ratings, the book is extremely unforgiving, gives as little details as possible, doesn't illuminate concepts in a very stimulating way and some errors. BUT i do believe that a positive learning experience can be had with this book if approached it in the right way and that your goals are inline with how the book is. So basically i would say that this book is not for someone who wants to have concepts explode in their mind, this book is an extreme analytical challenge that can be very rewarding if the time is spent on it. Especially if you are like me, an undergrad physics student. It either assumes you have more mathematical maturity than i have, or it purposely doesn't elaborate on things so that if forces you to bang your head on the desk until you find what your missing. Either way it's a challenging read that i would recommend if you are looking for something roughly how i describe.
This book contained numerous typographical errors to the point where I only finish the book just to see how many I could find. The authors continuously changes up their notation, and does not explain well why the change in notation. Explanations are weak in general.
The authors did not provide a true introduction to the mathematical fluid dynamics, but instead offered an introduction to their interest in the fluid dynamics. The better part of this book was that it was thin, so I didn’t have to spend more time than necessary with it.