Theta functions, elliptic functions and ?

This book presents topics such as Jacobi's triple product identities, elliptic functions, theta functions, the Eisenstein series, the Dedekind Delta function, Ramanujan's differential equations, hypergeometric series, and Ramanujan's work on π. The included exercises make it ideal for both classroom use and self-study. This book is suitable for a short course at advanced undergraduate or beginning graduate level. A pedagogical presentation of elliptic functions, modular forms, and Ramanujan...