Affordable softcover second edition of bestselling title (over 1000
copies sold of previous edition) A primer in harmonic analysis
on the undergraduate level Gives a lean and streamlined
introduction to the central concepts of this beautiful and utile
theory. Entirely based on the Riemann integral and metric spaces
instead of the more demanding Lebesgue integral and abstract
topology. Almost all proofs are given in full and all central
concepts are presented clearly. Provides an introduction to Fourier
analysis, leading up to the Poisson Summation Formula. Make the
reader aware of the fact that both principal incarnations of
Fourier theory, the Fourier series and the Fourier transform, are
special cases of a more general theory arising in the context of
locally compact abelian groups. Introduces the reader to the
techniques used in harmonic analysis of noncommutative groups.
These techniques are explained in the context of matrix groups as a
principal example.