Harmonic analysis plays an essential role in understanding a host
of engineering, mathematical, and scientific ideas. In Harmonic
Analysis and Applications, the analysis and synthesis of functions
in terms of harmonics is presented in such a way as to demonstrate
the vitality, power, elegance, usefulness, and the intricacy and
simplicity of the subject. This book is about classical harmonic
analysis - a textbook suitable for students, and an essay and
general reference suitable for mathematicians, physicists, and
others who use harmonic analysis. Throughout the book, material is
provided for an upper level undergraduate course in harmonic
analysis and some of its applications. In addition, the advanced
material in Harmonic Analysis and Applications is well-suited for
graduate courses. The course is outlined in Prologue I. This course
material is excellent, not only for students, but also for
scientists, mathematicians, and engineers as a general reference.
Chapter 1 covers the Fourier analysis of integrable and square
integrable (finite energy) functions on R. Chapter 2 of the text
covers distribution theory, emphasizing the theory's useful vantage
point for dealing with problems and general concepts from
engineering, physics, and mathematics. Chapter 3 deals with Fourier
series, including the Fourier analysis of finite and infinite
sequences, as well as functions defined on finite intervals. The
mathematical presentation, insightful perspectives, and numerous
well-chosen examples and exercises in Harmonic Analysis and
Applications make this book well worth having in your collection.
General
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