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Wavelets : = a student guide /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Wavelets :/ Peter Nickolas, University of Wollongong, New South Wales.
其他題名:	a student guide /
作者:	Nickolas, Peter,
面頁冊數:	1 online resource (ix, 264 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 28 Feb 2017).
標題:	Hilbert space - Congresses. -
電子資源:	https://doi.org/10.1017/9781139644280
ISBN:	9781139644280 (ebook)

Wavelets : = a student guide /
Nickolas, Peter,

Wavelets :a student guide /Peter Nickolas, University of Wollongong, New South Wales. - 1 online resource (ix, 264 pages) :digital, PDF file(s). - Australian Mathematical Society lecture series ;24. - Australian Mathematical Society lecture series ;23..

Title from publisher's bibliographic system (viewed on 28 Feb 2017).

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 (ebook)Subjects--Topical Terms:

896695
Hilbert space
--Congresses.

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

Dewey Class. No.: 515/.2433

Wavelets : = a student guide /
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