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Modular Forms is a graduate student-level introduction to the
classical theory of modular forms and computations involving
modular forms, including modular functions and the theory of Hecke
operators. It also includes applications of modular forms to
various subjects, such as the theory of quadratic forms, the proof
of Fermat's Last Theorem and the approximation of . The text gives
a balanced overview of both the theoretical and computational sides
of its subject, allowing a variety of courses to be taught from
it.This second edition has been revised and updated. New material
on the future of modular forms as well as a chapter about
longer-form projects for students has also been added.
This book presents a graduate student-level introduction to the
classical theory of modular forms and computations involving
modular forms, including modular functions and the theory of Hecke
operators. It also includes applications of modular forms to such
diverse subjects as the theory of quadratic forms, the proof of
Fermat's last theorem and the approximation of pi. It provides a
balanced overview of both the theoretical and computational sides
of the subject, allowing a variety of courses to be taught from it.
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