Comprehensible book about modular forms
 

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 finite-dimensionality 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.

[QUOTE=fivemack;403679]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 finite-dimensionality 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.[/QUOTE]

Terrific. I will have to get this book.