Wavelets : a student guide / Peter Nickolas, University of Wollongong, New South Wales.
Nickolas, Peter| Call Number | 515/.2433 |
| Author | Nickolas, Peter, author. |
| Title | Wavelets : a student guide / Peter Nickolas, University of Wollongong, New South Wales. |
| Physical Description | 1 online resource (ix, 264 pages) : digital, PDF file(s). |
| Series | Australian Mathematical Society lecture series ; 24 |
| Notes | Title from publisher's bibliographic system (viewed on 28 Feb 2017). |
| Summary | 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. |
| Subject | Wavelets (Mathematics) Textbooks. Inner product spaces Textbooks. Hilbert space Textbooks. |
| Multimedia |
Total Ratings:
0
02335nam a22003858i 4500
001
vtls001594425
003
VRT
005
20220808222600.0
006
m|||||o||d||||||||
007
cr||||||||||||
008
220808s2017||||enk o ||1 0|eng|d
020
$a 9781139644280 (ebook)
020
$z 9781107612518 (paperback)
035
$a (UkCbUP)CR9781139644280
039
9
$y 202208082226 $z santha
040
$a UkCbUP $b eng $e rda $c UkCbUP
050
0
0
$a QA403.3 $b .N53 2017
082
0
0
$a 515/.2433 $2 23
100
1
$a Nickolas, Peter, $e author.
245
1
0
$a Wavelets : $b a student guide / $c Peter Nickolas, University of Wollongong, New South Wales.
264
1
$a Cambridge : $b Cambridge University Press, $c 2017.
300
$a 1 online resource (ix, 264 pages) : $b digital, PDF file(s).
336
$a text $b txt $2 rdacontent
337
$a computer $b c $2 rdamedia
338
$a online resource $b cr $2 rdacarrier
490
1
$a Australian Mathematical Society lecture series ; $v 24
500
$a Title from publisher's bibliographic system (viewed on 28 Feb 2017).
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.
650
0
$a Inner product spaces $v Textbooks.
650
0
$a Hilbert space $v Textbooks.
776
0
8
$i Print version: $z 9781107612518
830
0
$a Australian Mathematical Society lecture series ; $v 24.
856
4
0
$u https://doi.org/10.1017/9781139644280
999
$a VIRTUA
No Reviews to Display
| Summary | 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. |
| Notes | Title from publisher's bibliographic system (viewed on 28 Feb 2017). |
| Subject | Wavelets (Mathematics) Textbooks. Inner product spaces Textbooks. Hilbert space Textbooks. |
| Multimedia |