Good introductory book on fluid dynamics I am interested in getting a good introductory book to fluid dynamics. I am a first year PhD student in Mathematics. 
My project involves a simplification of the Navier-Stokes equations. But I don't have any background whatsoever on fluid dynamics or physics for the matter (at least beyond high school level). 
Thank you for any recommendations! Please don't just post random books you found on Amazon (I can do that myself). I am interested in the opinion of people who have done some fluid dynamics, the more the better, and know about the field. 

Besides Batchelor, A Mathematical Introduction to Fluid Mechanics by Chorin and Marsden is very good and concise. I think it's well suited for a math student, as opposed to most books which have a more engineering flavor.
