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.
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