A First Course in Fourier Analysis
eBook - PDF

A First Course in Fourier Analysis

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

A First Course in Fourier Analysis

About this book

This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

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Yes, you can access A First Course in Fourier Analysis by David W. Kammler in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Contents
  6. Selected Applications
  7. Preface
  8. Synopsis
  9. To the Instructor
  10. Acknowledgments
  11. The Mathematical Core
  12. Selected Applications
  13. Index