Modular Forms: A Textbook for University Physics Students

[jqmhelios]

I'm studying physics at university, but there has always been one subject in pure maths which always interested me- that is modular forms.
Is there an 'accessible' textbook on this topic? Can anyone recommend one? Is the GTM Springer 'A first course in modular forms' any good?

 

[mathwonk]

it looks good and modern. here is a nice older book from 1962 that I have.
https://www.abebooks.com/servlet/SearchResults?sts=t&cm_sp=SearchF-_-home-_-Results&tn=lectures on modular forms&an=robert gunning

gunning will not of course include the modern applications to fermat's theorem that are apparently the goal of the GTM book you mention.

 

[Infrared]

I found the last chapter of Serre's a course in arithemtic very well written and readable.

 

[Demystifier]

I'm studying physics at university, but there has always been one subject in pure maths which always interested me- that is modular forms.

Perhaps you would like to know that modular forms have applications in physics, see e.g. https://arxiv.org/abs/2208.07242