Authors:
- 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 chapter on atmospheric physics and climate change
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
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
Authors and Affiliations
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Dipartimento di Matematica, Università di Roma—Tor Vergata, Rome, Italy
Elena Prestini
Bibliographic Information
Book Title: The Evolution of Applied Harmonic Analysis
Book Subtitle: Models of the Real World
Authors: Elena Prestini
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-1-4899-7989-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media LLC 2016
Hardcover ISBN: 978-1-4899-7987-2Published: 02 December 2016
Softcover ISBN: 978-1-4939-7961-5Published: 29 June 2018
eBook ISBN: 978-1-4899-7989-6Published: 01 December 2016
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 2
Number of Pages: XXIV, 356
Number of Illustrations: 186 b/w illustrations, 13 illustrations in colour
Topics: Fourier Analysis, Applications of Mathematics, History of Mathematical Sciences, Astronomy, Observations and Techniques, Popular Science, general, Signal, Image and Speech Processing