Using computer code to simulate the fluid flow equations is quite fun. Ferziger and Peric is considered quite a good text for covering all the fundamentals and pitfalls.

Landau and Lifshitz is an advanced postgraduate level text. For the absolute basics on fluid flow and vector calculus the yellow "Vector Calculus" book is very good, especially if you like following exercises to understand the mathematics behind that is going on.

Once the vector calculus is out of the way, fluid mechanics is a natural progression. Landau and Lifshitz textbooks are true classics.

L&L is a classic, and should be within reach for someone who has completed Kreyzigs book.

To cover the absolute fundamentals of fluid flow, Landau and Lifshitz is a true classic text, albeit an advanced text for postgraduate level students.

Its the same Landau and Lifshitz series, this time elasticity.