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Waveletsa student guide /

Nickolas, Peter.

Waveletsa student guide /

Record Type:	Electronic resources : Monograph/item
Title/Author:	WaveletsPeter 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)
Online resource:	https://doi.org/10.1017/9781139644280
ISBN:	9781139644280$q(electronic bk.)

Waveletsa 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 ;23..

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: 9781139644280$q(electronic bk.)Subjects--Topical Terms:

182734
Wavelets (Mathematics)

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

Dewey Class. No.: 515.2433

Waveletsa student guide /
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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.
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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) $3 182734
650 0 $a Inner product spaces $v Congresses. $3 453297
650 0 $a Hilbert space $v Congresses. $3 453071
830 0 $a Australian Mathematical Society lecture series ; $v 23. $3 810757
856 4 0 $u https://doi.org/10.1017/9781139644280