This text provides a detailed presentation of the main results for infinite products as well
as several applications. The target readership is a student familiar with the basics of real
analysis of a single variable and a first course in complex analysis up to and including the
calculus of residues. The book provides a detailed treatment of the main theoretical results
and applications with a goal of providing the reader with a short introduction and motivation
for present and future study. While the coverage does not include an exhaustive compilation of
results the reader will be armed with an understanding of infinite products within the course
of more advanced studies and inspired by the sheer beauty of the mathematics. The book will
serve as a reference for students of mathematics physics and engineering at the level of
senior undergraduate or beginning graduate level who want to know more about infinite
products. It will also be of interest to instructors who teach courses that involve infinite
products as well as mathematicians who wish to dive deeper into the subject. One could
certainly design a special-topics class based on this book for undergraduates. The exercises
give the reader a good opportunity to test their understanding of each section.
