
- 368 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Harmonic Analysis and Applications
About this book
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.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Harmonic Analysis and Applications by John J. Benedetto in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Half Title
- Studies in Advanced Mathematics
- Title Page
- Copyright Page
- About the Author
- Dedication
- Table of Contents
- Preface
- Prologue I—Course I
- Prologue II—Fourier transforms, Fourier series, and Discrete Fourier Transforms
- 1 Fourier Transforms
- 2 Measures and Distribution Theory
- 3 Fourier Series
- A Real Analysis
- B Functional Analysis
- C Fourier Analysis Formulas
- D Contributors to Fourier Analysis
- Bibliography
- Index of Notation
- Index of Names
- Index