Quote:
Originally Posted by fivemack
I've just bought, and am quite enjoying, Lloyd Kilford's "Modular Forms: A Classical and Computational Introduction", of which a new edition came out last week.
I really like the focus on how finitedimensionality results both make modular forms practical to compute with, and are responsible for lots of the wonderful identities because, once you've demonstrated both sides are a modular form of an appropriate weight and level, you have a small finite (or, at weight twelve and level one, a trivial) computation to show that they're equal.

Terrific. I will have to get this book.