The ideas of Fourier have made their way into every branch of
mathematics and mathematical physics, from the theory of numbers to
quantum mechanics. Fourier Series and Integrals focuses on the
extraordinary power and flexibility of Fourier's basic series and
integrals and on the astonishing variety of applications in which
it is the chief tool. It presents a mathematical account of Fourier
ideas on the circle and the line, on finite commutative groups, and
on a few important noncommutative groups. A wide variety of
exercises are placed in nearly every section as an integral part of
the text.
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