{"product_id":"wavelets-with-fourier-analysis-9780470431177","title":"Wavelets with Fourier Analysis","description":"\u003cb\u003eA comprehensive, self-contained treatment of Fourier analysis and wavelets--now in a new edition\u003c\/b\u003e \u003cp\u003eThrough expansive coverage and easy-to-follow explanations, A \u003ci\u003eFirst Course in Wavelets with Fourier Analysis\u003c\/i\u003e, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level.\u003c\/p\u003e \u003cp\u003eThe book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: \u003c\/p\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003eThe development of a Fourier series, Fourier transform, and discrete Fourier analysis\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eImproved sections devoted to continuous wavelets and two-dimensional wavelets\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eThe analysis of Haar, Shannon, and linear spline wavelets\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eThe general theory of multi-resolution analysis\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eUpdated MATLAB code and expanded applications to signal processing\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eThe construction, smoothness, and computation of Daubechies' wavelets\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eAdvanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform\u003c\/p\u003e \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eApplications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eA First Course in Wavelets with Fourier Analysis\u003c\/i\u003e, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eALBERT BOGGESS, PHD, \u003c\/b\u003e is Professor of Mathematics at Texas A\u0026amp;M University. Dr. Boggess has over twenty-five years of academic experience and has authored numerous publications in his areas of research interest, which include overdetermined systems of partial differential equations, several complex variables, and harmonic analysis. \u003cb\u003eFRANCIS J. NARCOWICH, PHD, \u003c\/b\u003e is Professor of Mathematics and Director of the Center for Approximation Theory at Texas A\u0026amp;M University. Dr. Narcowich serves as an Associate Editor of both the \u003ci\u003eSIAM Journal on Numerical Analysis\u003c\/i\u003e and\u003ci\u003e Mathematics of Computation, \u003c\/i\u003e and he has written more than eighty papers on a variety of topics in pure and applied mathematics.He currently focuses his research on applied harmonic analysis and approximation theory.\u003cbr\u003e\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":50324752367890,"sku":"9780470431177","price":153.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_52a51e0c-5a4f-4614-9291-56ecd7ed601e.jpg?v=1727672470","url":"https:\/\/surprise-castle.myshopify.com\/products\/wavelets-with-fourier-analysis-9780470431177","provider":"Surprise Castle","version":"1.0","type":"link"}