Applied and Numerical Harmonic Analysis

The Evolution of Applied Harmonic Analysis

Models of the Real World

Authors: Prestini, Elena

  • Introduces readers to the topic of harmonic analysis, its history, and its applications
  • A sweeping exploration of essential concepts and applications in modern mathematics and science through the unifying framework of Fourier analysis
  • New chapters on the Fast Fourier Transform, Atmospheric physics, and climate change
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-1-4899-7989-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4899-7987-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

A sweeping exploration of the development and far-reaching applications of harmonic analysis such as signal processing, digital music, Fourier optics, radio astronomy, crystallography, medical imaging, spectroscopy, and more. Featuring a wealth of illustrations, examples, and material not found in other harmonic analysis books, this unique monograph skillfully blends together historical narrative with scientific exposition to create a comprehensive yet accessible work. While only an understanding of calculus is required to appreciate it, there are more technical sections that will charm even specialists in harmonic analysis. From undergraduates to professional scientists, engineers, and mathematicians, there is something for everyone here.

The second edition of The Evolution of Applied Harmonic Analysis contains a new chapter on atmospheric physics and climate change, making it more relevant for today’s audience. 

Praise for the first edition:

"…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

“The book under review is a unique and splendid telling of the triumphs of the fast Fourier transform. I can recommend it unconditionally… Elena Prestini… has taken one major mathematical idea, that of Fourier analysis, and chased down and described a half dozen varied areas in which Fourier analysis and the FFT are now in place. Her book is much to be applauded.”

                                         — Society for Industrial and Applied Mathematics

“This is not simply a book about mathematics, or even the history of mathematics; it is a story about how the discipline has been applied (to borrow Fourier’s expression) to ‘the public good and the explanation of natural phenomena.’ … This book constitutes a significant addition to the library of popular mathematical works, and a valuable resource for students of mathematics.”

                                       — Mathematical Association of America Reviews

 

Table of contents (10 chapters)

  • Joseph Fourier: The Man and the Mathematician

    Prestini, Elena

    Pages 1-24

    Preview Buy Chapter 30,19 €
  • Introduction to Harmonic Analysis

    Prestini, Elena

    Pages 25-52

    Preview Buy Chapter 30,19 €
  • Telecommunications and Space Exploration

    Prestini, Elena

    Pages 53-93

    Preview Buy Chapter 30,19 €
  • Sound, Music, and Computers

    Prestini, Elena

    Pages 95-120

    Preview Buy Chapter 30,19 €
  • Fourier Optics and the Synchrotron Light

    Prestini, Elena

    Pages 121-150

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-1-4899-7989-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4899-7987-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Evolution of Applied Harmonic Analysis
Book Subtitle
Models of the Real World
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2016
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4899-7989-6
DOI
10.1007/978-1-4899-7989-6
Hardcover ISBN
978-1-4899-7987-2
Series ISSN
2296-5009
Edition Number
2
Number of Pages
XXIV, 356
Number of Illustrations and Tables
186 b/w illustrations, 13 illustrations in colour
Topics