This text is designed to be an introduction to Fourier series and
their applications to boundary value problems in partial
differential equations of engineering and physics. It is primarily
for mathematics students with a background in ordinary differential
equations and advanced calculus. There are two main objectives of
this text. The first is to introduce the concept of orthogonal sets
of functions and representations of arbitrary functions in series
of functions from such sets. The second is a clear presentation of
the classical method of separation of variables used in solving
boundary value problems with the aid of those representations.
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