This book introduces the reader to the fascinating world of modular
forms through a problem-solving approach. As such, it can be used
by the undergraduate and graduate student for self-instruction. The
topics covered include q-series, the modular group, the upper
half-plane, modular forms of level one and higher level, the
Ramanujan ? -function, the Petersson inner product, Hecke
operators, Dirichlet series attached to modular forms and further
special topics. It can be viewed as a gentle introduction for a
deeper study of the subject. Thus, it is ideal for non-experts
seeking an entry into the field.
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