Applied Fourier Analysis

From Signal Processing to Medical Imaging

Authors: Olson, Tim

  • Concise yet thorough overview provides self-contained introduction to theory
  • Covers a broad range of state-of-the-art applications in many disciplines, including medical imaging and radar processing
  • Abundant problems, exercises, and projects reinforce integration of theory with applications
  • Useful for both undergraduates and graduates in mathematics and engineering-related sciences
  • Adaptable to one and two semester courses and independent study
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eBook $64.99
price for USA in USD (gross)
  • ISBN 978-1-4939-7393-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-1-4939-7391-0
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study.

Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medi

cal imaging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects.   Illuminating videos are available on Springer.com and Link.Springer.com that present animated visualizations of several concepts.

The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.

About the authors

Tim Olson is an Associate Professor of Mathematics at the University of Florida. His research focuses on applications of Fourier Analysis to medical imaging and radar processing, electromagnetics, and other related fields.
He is also an experienced fly-fisherman and a fishing guide in the rivers of Montana.

Table of contents (10 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-1-4939-7393-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-1-4939-7391-0
  • with online files
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applied Fourier Analysis
Book Subtitle
From Signal Processing to Medical Imaging
Authors
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4939-7393-4
DOI
10.1007/978-1-4939-7393-4
Hardcover ISBN
978-1-4939-7391-0
Edition Number
1
Number of Pages
XVI, 302
Number of Illustrations and Tables
8 b/w illustrations, 118 illustrations in colour
Topics