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Harmonic Analysis: From Fourier to Wavelets (Student Mathematical Library) (Student Mathematical Library - IAS/Park City Mathematical Subseries) download ebook

by Lesley A. Ward,María Cristina Pereyra

Harmonic Analysis: From Fourier to Wavelets (Student Mathematical Library) (Student Mathematical Library - IAS/Park City Mathematical Subseries) download ebook
ISBN:
0821875663
ISBN13:
978-0821875667
Author:
Lesley A. Ward,María Cristina Pereyra
Publisher:
American Mathematical Society (June 13, 2012)
Language:
Pages:
410 pages
ePUB:
1852 kb
Fb2:
1938 kb
Other formats:
mobi mbr lrf rtf
Category:
Science & Mathematics
Subcategory:
Rating:
4.6

I'd even venture to say that a previous Fourier course would probably be a. .

I'd even venture to say that a previous Fourier course would probably be a requisite. If you're already a pro using FT's in any capacity in your work, this is a must have for your library, as ALL the most recent "named" algorithms are covered (you know, Paley-Weiner, Peter-Weyl, et.

Student Mathematical Library Volume: 63; 2012; 410 pp; Softcover MSC . María Cristina Pereyra; Lesley A. Ward.

Student Mathematical Library Volume: 63; 2012; 410 pp; Softcover MSC: Primary 42. In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering.

Student mathematical library ; 63. IAS/Park City mathematical subseries) Includes bibliographical references and indexes. ISBN 978-0-8218-7566-7 (alk. paper) 1. Harmonic analysis-Textbooks. I. Ward, Lesley . 1963– II. Title. 2433-dc23 2012001283 Copying and reprinting.

In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering

In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering. In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory

From Fourier to Wavelets. Student mathematical library IAS/park city mathematical subseries. p. cm. - (Student mathematical library ; 63. IAS/Park City mathematical subseries).

From Fourier to Wavelets. Volume 63. Harmonic Analysis. From Fourier to Wavelets María Cristina Pereyra Lesley A. American Mathematical Society, Providence, Rhode Island Institute for Advanced Study, Princeton, New Jersey. Gerald B. Folland Robin Forman. Includes bibliographical references and indexes.

Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library: Ias Park City Mathematical Subseries)

Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library: Ias Park City Mathematical Subseries). Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots (Student Mathematical Library: Ias Park City Mathematical Subseries).

From Fourier to Wavelets by Maria Cristina Pereyra and Lesley A. Ward (Student Mathematical Library, Vol. 63, American Mathematical Society, 2012) is recommended and will be used as main reference. Additional resources are going to be used. Grading: The nal grade will be based on homework (15%), class attendance (5%), two midterm exams (30%), nal exam (30%), and a nal term project (20%).

From Fourier to Wavelets or any other file from Books category .

Download Harmonic Analysis: From Fourier to Wavelets or any other file from Books category.

Harmonic Analysis : From Fourier to Wavelets. Student Mathematical Library - Ias/Park City Mathematical Subseries. By (author) Maria Cristina Pereyra, By (author) Lesley A.

In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering. In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory. They present for an advanced undergraduate and beginning graduate student audience the basics of harmonic analysis, from Fourier's study of the heat equation, and the decomposition of functions into sums of cosines and sines (frequency analysis), to dyadic harmonic analysis, and the decomposition of functions into a Haar basis (time localization). While concentrating on the Fourier and Haar cases, the book touches on aspects of the world that lies between these two different ways of decomposing functions: time-frequency analysis (wavelets). Both finite and continuous perspectives are presented, allowing for the introduction of discrete Fourier and Haar transforms and fast algorithms, such as the Fast Fourier Transform (FFT) and its wavelet analogues. The approach combines rigorous proof, inviting motivation, and numerous applications. Over 250 exercises are included in the text. Each chapter ends with ideas for projects in harmonic analysis that students can work on independently. This book is published in cooperation with IAS/Park City Mathematics Institute.