The books you have mentioned, are written from an engineering point of view rather than physicist's. The following books are recommended:
- Fluid dynamics For Physicists by T. E. Faber (Introductory. Doesn't need more backgrounds than you mentioned)
- An Introduction to Fluid Dynamics by G. K. Batchelor (Introductory. Doesn't need more backgrounds than you mentioned)
- Fluid Mechanics, Volume 6 of Course of Theoretical Physics by Landau and Lifshitz (Advanced)
and also you may find the following book, with a more mathematical flavor, interesting: (I haven't seen this one myself)
- A Mathematical Introduction to Fluid Mechanics by Chorin and Marsden