Best fluid mechanics texts for math majors

[Axiomer]

Hey all. I am an undergraduate math major in my third year who is planning to do a reading course in fluid mechanics next term. I have taken courses in rigorous advanced calculus, real and complex analysis, topology, and intro ODE and PDE. I would be taking a differential geometry course, which covers tensor analysis, concurrently. What are some suggestions for textbooks/online resources for someone of my disposition? Thanks in advance.

Alexander

 

[WannabeNewton]

I'm looking for a fluid mechanics book that is differential topology oriented as well. I'm not having any luck finding such a book however

 

[Jorriss]

Perhaps Arnold and Khesin, Topological methods in Hydrodynamics?

 

[WannabeNewton]

Perhaps Arnold and Khesin, Topological methods in Hydrodynamics?

This is beyond brilliant, thanks! I can always count on Arnold