Wavelets: a student guide
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Schriftenreihe: | Australian Mathematical Society lecture series
24 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UPA01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 28 Feb 2017) |
| Beschreibung: | 1 online resource (ix, 264 pages) |
| ISBN: | 9781139644280 |
| DOI: | 10.1017/9781139644280 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV044243678 | ||
| 003 | DE-604 | ||
| 005 | 20230331 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 170327s2017 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139644280 |9 978-1-139-64428-0 | ||
| 024 | 7 | |a 10.1017/9781139644280 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139644280 | ||
| 035 | |a (OCoLC)992509013 | ||
| 035 | |a (DE-599)BVBBV044243678 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-739 | ||
| 082 | 0 | |a 515/.2433 | |
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 100 | 1 | |a Nickolas, Peter |e Verfasser |4 aut | |
| 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) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |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 | 4 | |a Wavelets (Mathematics) / Textbooks | |
| 650 | 4 | |a Inner product spaces / Textbooks | |
| 650 | 4 | |a Hilbert space / Textbooks | |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, paperback |z 978-1-107-61251-8 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781139644280 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029648945 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/9781139644280 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781139644280 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781139644280 |l UPA01 |p ZDB-20-CBO |q UPA_PDA_CBO_Kauf |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804177406785748992 |
|---|---|
| any_adam_object | |
| author | Nickolas, Peter |
| author_facet | Nickolas, Peter |
| author_role | aut |
| author_sort | Nickolas, Peter |
| author_variant | p n pn |
| building | Verbundindex |
| bvnumber | BV044243678 |
| classification_rvk | SK 450 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781139644280 (OCoLC)992509013 (DE-599)BVBBV044243678 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/9781139644280 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02936nmm a2200493zcb4500</leader><controlfield tag="001">BV044243678</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230331 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">170327s2017 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139644280</subfield><subfield code="9">978-1-139-64428-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781139644280</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139644280</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)992509013</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044243678</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.2433</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Nickolas, Peter</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Wavelets</subfield><subfield code="b">a student guide</subfield><subfield code="c">Peter Nickolas, University of Wollongong, New South Wales</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (ix, 264 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Australian Mathematical Society lecture series</subfield><subfield code="v">24</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 28 Feb 2017)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelets (Mathematics) / Textbooks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inner product spaces / Textbooks</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hilbert space / Textbooks</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, paperback</subfield><subfield code="z">978-1-107-61251-8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781139644280</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029648945</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781139644280</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781139644280</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781139644280</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UPA_PDA_CBO_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044243678 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:47:35Z |
| institution | BVB |
| isbn | 9781139644280 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029648945 |
| oclc_num | 992509013 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-739 |
| owner_facet | DE-12 DE-92 DE-739 |
| physical | 1 online resource (ix, 264 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UPA_PDA_CBO_Kauf |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Australian Mathematical Society lecture series |
| spelling | Nickolas, Peter Verfasser aut Wavelets a student guide Peter Nickolas, University of Wollongong, New South Wales Cambridge Cambridge University Press 2017 1 online resource (ix, 264 pages) txt rdacontent c rdamedia cr rdacarrier Australian Mathematical Society lecture series 24 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 Wavelets (Mathematics) / Textbooks Inner product spaces / Textbooks Hilbert space / Textbooks Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, paperback 978-1-107-61251-8 https://doi.org/10.1017/9781139644280 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nickolas, Peter Wavelets a student guide Wavelets (Mathematics) / Textbooks Inner product spaces / Textbooks Hilbert space / Textbooks Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | Wavelets a student guide |
| title_auth | Wavelets a student guide |
| title_exact_search | Wavelets a student guide |
| title_full | Wavelets a student guide Peter Nickolas, University of Wollongong, New South Wales |
| title_fullStr | Wavelets a student guide Peter Nickolas, University of Wollongong, New South Wales |
| title_full_unstemmed | Wavelets a student guide Peter Nickolas, University of Wollongong, New South Wales |
| title_short | Wavelets |
| title_sort | wavelets a student guide |
| title_sub | a student guide |
| topic | Wavelets (Mathematics) / Textbooks Inner product spaces / Textbooks Hilbert space / Textbooks Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Wavelets (Mathematics) / Textbooks Inner product spaces / Textbooks Hilbert space / Textbooks Wavelet |
| url | https://doi.org/10.1017/9781139644280 |
| work_keys_str_mv | AT nickolaspeter waveletsastudentguide |