The Evolution of Applied Harmonic Analysis
Models of the Real World

Authors: Elena Prestini



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

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.

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