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Wavelets[electronic resource] :a stu...

Nickolas, Peter.

Wavelets[electronic resource] :a student guide /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.2433
書名/作者:	Wavelets : a student guide // Peter Nickolas.
作者:	Nickolas, Peter.
出版者:	Cambridge : : Cambridge University Press,, 2017.
面頁冊數:	ix, 264 p. : : ill., digital ;; 24 cm.
標題:	Wavelets (Mathematics)
標題:	Inner product spaces - Textbooks.
標題:	Hilbert space - Textbooks.
ISBN:	9781139644280
ISBN:	9781107612518
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/9781139644280

Wavelets[electronic resource] :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 ;17..

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:

393849
Wavelets (Mathematics)

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

Dewey Class. No.: 515.2433

Wavelets[electronic resource] :a student guide /
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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 393849
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650 0 $a Hilbert space $v Textbooks. $3 711586
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