/sci/ - Science & Math

Taking my first course in functional analysis next semester. Anyone care to recommend some good books on an introductory level? Preferably ones with lots of examples and exercises, not just theorems and proofs.

Hi everyone,
I was wondering if anyone here could share some interesting applications of the Arzela-Ascoli theorem they came across - no matter in what area of math.
I tried to read about some interesting results but I only came across one paper describing how you can use the theorem in order to prove the existence of solutions to certain families of integral equations.

Also, general functional analysis thread