Fourier Analysis / Wiley Series in Pure and Applied Mathematics (PDF)

A reader-friendly, systematic introduction to Fourier
analysis

Rich in both theory and application, Fourier Analysis
presents a unique and thorough approach to a key topic in advanced
calculus. This pioneering resource tells the full story of Fourier
analysis, including its history and its impact on the development
of modern mathematical analysis, and also discusses essential
concepts and today's applications.

Written at a rigorous level, yet in an engaging style that does
not dilute the material, Fourier Analysis brings two
profound aspects of the discipline to the forefront: the wealth of
applications of Fourier analysis in the natural sciences and the
enormous impact Fourier analysis has had on the development of
mathematics as a whole. Systematic and comprehensive, the book:

* Presents material using a cause-and-effect approach,
illustrating where ideas originated and what necessitated them

* Includes material on wavelets, Lebesgue integration, L2 spaces,
and related concepts

* Conveys information in a lucid, readable style, inspiring
further reading and research on the subject

* Provides exercises at the end of each section, as well as
illustrations and worked examples throughout the text

Based upon the principle that theory and practice are
fundamentally linked, Fourier Analysis is the ideal text and
reference for students in mathematics, engineering, and physics, as
well as scientists and technicians in a broad range of disciplines
who use Fourier analysis in real-world situations.