A sweeping exploration of the advance and far-reaching functions of harmonic research akin to sign processing, electronic song, Fourier optics, radio astronomy, crystallography, clinical imaging, spectroscopy, and extra. that includes a wealth of illustrations, examples, and fabric no longer present in different harmonic research books, this distinct monograph skillfully blends jointly historic narrative with medical exposition to create a entire but obtainable paintings. whereas in basic terms an knowing of calculus is needed to understand it, there are extra technical sections that might allure even experts in harmonic research. From undergraduates to specialist scientists, engineers, and mathematicians, there's something for everybody here.
The moment variation of The Evolution of utilized Harmonic Analysiscontains a brand new bankruptcy on atmospheric physics and weather switch, making it extra suitable for today’s audience.
Praise for the 1st edition:
< "…can be completely urged to any reader who's all in favour of the actual global and the highbrow underpinnings that experience bring about our increasing figuring out of our actual setting and to our halting steps to regulate it. every person who makes use of tools which are in line with harmonic research will enjoy the transparent verbal descriptions which are supplied."
— R.N. Bracewell, Stanford University
“The e-book lower than overview is a special and opulent telling of the triumphs of the quick Fourier remodel. i will suggest it unconditionally… Elena Prestini… has taken one significant mathematical notion, that of Fourier research, and chased down and defined a part dozen diversified components within which Fourier research and the FFT are actually in position. Her publication is far to be applauded.”
— Society for business and utilized Mathematics
“This isn't easily a e-book approximately arithmetic, or perhaps the heritage of arithmetic; it's a tale approximately how the self-discipline has been utilized (to borrow Fourier’s expression) to ‘the public reliable and the reason of typical phenomena.’ … This ebook constitutes an important addition to the library of well known mathematical works, and a beneficial source for college kids of mathematics.”
— Mathematical organization of the USA Reviews