## A First Course in Wavelets with Fourier Analysis

### Albert Boggess; Francis J. Narcowich

0 avg rating
( 0 ratings by Goodreads )

A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition

Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, 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.

The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature:

• The development of a Fourier series, Fourier transform, and discrete Fourier analysis

• Improved sections devoted to continuous wavelets and two-dimensional wavelets

• The analysis of Haar, Shannon, and linear spline wavelets

• The general theory of multi-resolution analysis

• Updated MATLAB code and expanded applications to signal processing

• The construction, smoothness, and computation of Daubechies' wavelets

• Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform

Applications 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.

A First Course in Wavelets with Fourier Analysis, 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.

"synopsis" may belong to another edition of this title.

ALBERT BOGGESS, PhD, is Professor of Mathematics at Texas A&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.

FRANCIS J. NARCOWICH, PhD, is Professor of Mathematics and Director of the Center for Approximation Theory at Texas A&M University. Dr. Narcowich serves as an Associate Editor of both the SIAM Journal on Numerical Analysis and Mathematics of Computation, 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.

Review:

"A first course in wavelets with Fourier analysis, 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." (Mathematical Reviews, 2011)

"The discussions of applications avoid the deep jargon of signal processing ... accessible to a wider audience." (Book News, December 2009)

List Price: US\$ 128.00
US\$ 74.40

Shipping: FREE
Within U.S.A.

Destination, Rates & Speeds

## 1.A First Course in Wavelets with Fourier Analysis

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 6
Seller:
TreeHouseBookstore
(Mountlake Terrace, WA, U.S.A.)
Rating

Book Description Hardcover. Book Condition: New. BRAND NEW US edition / [Hardcover] [2nd Edition] / FREE UPGRADE to FedEx, UPS or Priority Mail / receive your book within 1-4 business days! / [clean wrapped, well protected] [Authentic edition exactly the same as the Official Listing] [ships within 1 business day] / Free tracking number / Genuine US Bookstore! Get your book in perfect condition! We also ship international via FedEx, UPS, or USPS Express!. Bookseller Inventory # 169720171124002819

US\$ 74.40
Convert Currency
Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

## 2.A First Course in Wavelets With Fourier Analysis,2ed

Published by Somerset, New Jersey, U.S.A.: John Wiley & Sons Inc (2009)
ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 10
Seller:
LINDABOOK
(Taipei, TP, Taiwan)
Rating

Book Description Somerset, New Jersey, U.S.A.: John Wiley & Sons Inc, 2009. Hardcover. Book Condition: New. Ship out 1 day,Brand new,US edition,(Express shipping worldwide)1-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, , item will ship out from either LA or Asia,n. Bookseller Inventory # ABE-5328432057

US\$ 74.99
Convert Currency
Shipping: US\$ 9.90
From Taiwan to U.S.A.
Destination, Rates & Speeds

## 3.A First Course in Wavelets with Fourier Analysis

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating

Book Description Wiley, 2009. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110470431172

US\$ 88.34
Convert Currency
Shipping: US\$ 1.99
Within U.S.A.
Destination, Rates & Speeds

## 4.A First Course in Wavelets With Fourier Analysis

Published by John Wiley & Sons Inc, Somerset, New Jersey, U.S.A. (2010)
ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 1
Seller:
Bonny. Lee
Rating

Book Description John Wiley & Sons Inc, Somerset, New Jersey, U.S.A., 2010. Hardcover. Book Condition: Brand New. 2nd Edition. US edition Brand New HARD COVER Fedex delivery. Bookseller Inventory # 001119

US\$ 64.85
Convert Currency
Shipping: US\$ 30.00
Destination, Rates & Speeds

## 5.A First Course in Wavelets with Fourier Analysis (Hardback)

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 10
Seller:
The Book Depository US
(London, United Kingdom)
Rating

Book Description John Wiley and Sons Ltd, United States, 2009. Hardback. Book Condition: New. 2nd Edition. Language: English . Brand New Book. A comprehensive, self-contained treatment of Fourier analysis and wavelets now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, 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. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: The development of a Fourier series, Fourier transform, and discrete Fourier analysis Improved sections devoted to continuous wavelets and two-dimensional wavelets The analysis of Haar, Shannon, and linear spline wavelets The general theory of multi-resolution analysis Updated MATLAB code and expanded applications to signal processing The construction, smoothness, and computation of Daubechies wavelets Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform Applications 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. A First Course in Wavelets with Fourier Analysis, 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. Bookseller Inventory # AAH9780470431177

US\$ 113.53
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 6.A First Course in Wavelets with Fourier Analysis (Hardback)

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 10
Seller:
The Book Depository
(London, United Kingdom)
Rating

Book Description John Wiley and Sons Ltd, United States, 2009. Hardback. Book Condition: New. 2nd Edition. Language: English . Brand New Book. A comprehensive, self-contained treatment of Fourier analysis and wavelets now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, 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. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: The development of a Fourier series, Fourier transform, and discrete Fourier analysis Improved sections devoted to continuous wavelets and two-dimensional wavelets The analysis of Haar, Shannon, and linear spline wavelets The general theory of multi-resolution analysis Updated MATLAB code and expanded applications to signal processing The construction, smoothness, and computation of Daubechies wavelets Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform Applications 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. A First Course in Wavelets with Fourier Analysis, 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. Bookseller Inventory # AAH9780470431177

US\$ 116.85
Convert Currency
Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 7.A First Course in Wavelets With Fourier Analysis

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 5
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating

Book Description Wiley 2009-10-06, Hoboken, N.J., 2009. hardback. Book Condition: New. Bookseller Inventory # 9780470431177

US\$ 118.61
Convert Currency
Shipping: US\$ 7.99
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 8.A First Course in Wavelets with Fourier Analysis

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: 1
Seller:
Cloud 9 Books
(Wellington, FL, U.S.A.)
Rating

Book Description Wiley. Hardcover. Book Condition: New. 0470431172 New Condition. Bookseller Inventory # NEW7.0177967

US\$ 128.25
Convert Currency
Shipping: US\$ 4.99
Within U.S.A.
Destination, Rates & Speeds

## 9.A First Course in Wavelets with Fourier Analysis

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Hardcover Quantity Available: > 20
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating

Book Description Wiley-Blackwell. Hardcover. Book Condition: New. New copy - Usually dispatched within 2 working days. Bookseller Inventory # B9780470431177

US\$ 129.53
Convert Currency
Shipping: US\$ 9.24
From United Kingdom to U.S.A.
Destination, Rates & Speeds

## 10.A First Course in Wavelets with Fourier Analysis

ISBN 10: 0470431172 ISBN 13: 9780470431177
New Quantity Available: 1
Seller:
Nearfine Books
(Brooklyn, NY, U.S.A.)
Rating

Book Description Wiley, 2009. Book Condition: new. Shiny and new! Expect delivery in 20 days. Bookseller Inventory # 9780470431177-1