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The Evolution of Applied Harmonic Analysis

Models of the Real World

  • Elena Prestini

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Elena Prestini
    Pages 31-63
  3. Elena Prestini
    Pages 65-112
  4. Elena Prestini
    Pages 113-142
  5. Elena Prestini
    Pages 143-177
  6. Elena Prestini
    Pages 275-310
  7. Back Matter
    Pages 311-351

About this book

Introduction

"…can be thoroughly recommended to any reader who is curious about the physical world and the intellectual underpinnings that have lead to our expanding understanding of our physical environment and to our halting steps to control it. Everyone who uses instruments that are based on harmonic analysis will benefit from the clear verbal descriptions that are supplied."

— R.N. Bracewell, Stanford University

A sweeping exploration of essential concepts and applications in modern mathematics and science through the unifying framework of Fourier analysis! This unique, extensively illustrated book describes the evolution of harmonic analysis, integrating theory and applications in a way that requires only some general mathematical sophistication and knowledge of calculus in certain sections.

Key features:

* Historical sections interwoven with key scientific developments showing how, when, where, and why harmonic analysis evolved

* Exposition driven by more than 150 illustrations and numerous examples

* Concrete applications of harmonic analysis to signal processing, computerized music, Fourier optics, radio astronomy, crystallography, CT scanning, nuclear magnetic resonance imaging and spectroscopy

* Includes a great deal of material not found elsewhere in harmonic analysis books

* Accessible to specialists and non-specialists

"The Evolution of Applied Harmonic Analysis" will engage graduate and advanced undergraduate students, researchers, and practitioners in the physical and life sciences, engineering, and mathematics.

Keywords

Fourier analysis calculus evolution harmonic analysis instruments mathematics scanning signal processing

Authors and affiliations

  • Elena Prestini
    • 1
  1. 1.Department of MathematicsUniversity of Rome “Tor Vergata”RomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-8140-1
  • Copyright Information Birkhäuser Boston 2004
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-8176-4125-2
  • Online ISBN 978-0-8176-8140-1
  • Series Print ISSN 2296-5009
  • Series Online ISSN 2296-5017
  • Buy this book on publisher's site
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