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Wavelets = a student guide /

Nickolas, Peter.

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Wavelets = a student guide /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Wavelets/ Peter Nickolas.
Reminder of title:	a student guide /
Author:	Nickolas, Peter.
Published:	Cambridge :Cambridge University Press, : 2017.,
Description:	ix, 264 p. :ill., digital ;24 cm.
Subject:	Wavelets (Mathematics) - Textbooks. -
Online resource:	https://doi.org/10.1017/9781139644280
ISBN:	9781139644280

Wavelets = a student guide /
Nickolas, Peter.

Waveletsa student guide /[electronic resource] :Peter Nickolas. - Cambridge :Cambridge University Press,2017. - ix, 264 p. :ill., digital ;24 cm. - Australian Mathematical Society lecture series ;24. - Australian Mathematical Society lecture series ;24..

This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.

ISBN: 9781139644280Subjects--Topical Terms:

3205542
Wavelets (Mathematics)
--Textbooks.

LC Class. No.: QA403.3 / .N53 2017

Dewey Class. No.: 515.2433

Wavelets = a student guide /
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100 1 $a Nickolas, Peter. $3 3391877
245 1 0 $a Wavelets $h [electronic resource] : $b a student guide / $c Peter Nickolas.
260 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a ix, 264 p. : $b ill., digital ; $c 24 cm.
490 1 $a Australian Mathematical Society lecture series ; $v 24
520 $a This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.
650 0 $a Wavelets (Mathematics) $v Textbooks. $3 3205542
650 0 $a Inner product spaces $v Textbooks. $3 3391879
650 0 $a Hilbert space $v Textbooks. $3 3391771
830 0 $a Australian Mathematical Society lecture series ; $v 24. $3 3391878
856 4 0 $u https://doi.org/10.1017/9781139644280