The world according to wavelets the story of a mathematical technique in the making
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Natick, Mass.
Peters
1998
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 001 | BV012401104 | ||
| 003 | DE-604 | ||
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| 007 | t| | ||
| 008 | 990210s1998 xxuad|| |||| 00||| eng d | ||
| 020 | |a 1568810725 |9 1-56881-072-5 | ||
| 020 | |a 9781568810720 |9 978-1-56881-072-0 | ||
| 035 | |a (OCoLC)38048388 | ||
| 035 | |a (DE-599)BVBBV012401104 | ||
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| 084 | |a MAT 428f |2 stub | ||
| 100 | 1 | |a Hubbard, Barbara Burke |d 1948- |e Verfasser |0 (DE-588)115406174 |4 aut | |
| 245 | 1 | 0 | |a The world according to wavelets |b the story of a mathematical technique in the making |c Barbara Burke Hubbard |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Natick, Mass. |b Peters |c 1998 | |
| 300 | |a XX, 330 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Harmonische analyse |2 gtt | |
| 650 | 4 | |a Ondelettes | |
| 650 | 7 | |a Wavelets |2 gtt | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202 MAT 428f 2008 A 1765(2) |
|---|---|
| DE-BY-TUM_katkey | 1620504 |
| DE-BY-TUM_location | 02 |
| DE-BY-TUM_media_number | 040020776121 |
| _version_ | 1820894479505162240 |
| adam_text | Contents
To the Reader
xi
Acknowledgments
xvii
PART I The World According to Wavelets
1
Prologue
3
I Fourier Analysis: A Poem Transforms Our World
5
II Seeking New Tools
21
ΙΠ
A New Language Acquires a Grammar
39
IV Applications
57
V Beyond Wavelets
91
PART II Beyond Plain English
Ш
Apologia
113
1
The Fourier Transform
117
2
The Convergence of Fourier Series
and the Stability of the Solar System
125
3
Computing Fourier Coefficients with Integrals
137
4
The Fast Fourier Transform
141
vii
viii Contents
5
The Continuous Wavelet
Transform
149
6
Orthogonality and Scalar Products
153
7
Multiresolution
165
8
The Fast Wavelet Transform
183
9
Wavelets in Two Dimensions
193
10
Pyramid Algorithms of
Burt
and
Adelson
199
11
Multiwavelets
201
12
The
Heisenberg
Uncertainty Principle and
Time-Frequency Decompositions
203
13
Probability,
Heisenberg,
and Quantum Mechanics
209
14
Traveling from One Function Space to Another:
Wavelets and Pure Mathematics
223
15
Wavelets and Vision: Another Perspective
231
16
Which Wavelet?
239
17
Different Transforms: A Summary
249
18
Wavelets, Music, and Speech
253
19
The Lifting Scheme
257
20
Best Basis
259
PARTIU
Appendices
263
A Mathematical Symbols
265
В
A Review of Some Elementary Trigonometry
267
С
Integrals
271
D
The Fourier Transform: The Different Conventions
275
Contents ix
E
The Sampling Theorem: A Proof
277
F
The
Heisenberg
Uncertainty Principle: A Proof
281
G
The Fourier Transform of a Periodic Function
285
H An
Example of an
Orthonormal
Basis and
a Proof of Fourier s Result
291
Further Reading
295
Wavelet Software and Electronic Resources
299
References
305
Index
319
|
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| dewey-search | 515/.2433 515/.2433 21 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV012401104 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T15:01:55Z |
| institution | BVB |
| isbn | 1568810725 9781568810720 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008412437 |
| oclc_num | 38048388 |
| open_access_boolean | |
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| physical | XX, 330 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Peters |
| record_format | marc |
| spellingShingle | Hubbard, Barbara Burke 1948- The world according to wavelets the story of a mathematical technique in the making Harmonische analyse gtt Ondelettes Wavelets gtt Wavelets (Mathematics) Harmonische Analyse (DE-588)4023453-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4215427-3 (DE-588)4151278-9 |
| title | The world according to wavelets the story of a mathematical technique in the making |
| title_auth | The world according to wavelets the story of a mathematical technique in the making |
| title_exact_search | The world according to wavelets the story of a mathematical technique in the making |
| title_full | The world according to wavelets the story of a mathematical technique in the making Barbara Burke Hubbard |
| title_fullStr | The world according to wavelets the story of a mathematical technique in the making Barbara Burke Hubbard |
| title_full_unstemmed | The world according to wavelets the story of a mathematical technique in the making Barbara Burke Hubbard |
| title_short | The world according to wavelets |
| title_sort | the world according to wavelets the story of a mathematical technique in the making |
| title_sub | the story of a mathematical technique in the making |
| topic | Harmonische analyse gtt Ondelettes Wavelets gtt Wavelets (Mathematics) Harmonische Analyse (DE-588)4023453-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Harmonische analyse Ondelettes Wavelets Wavelets (Mathematics) Harmonische Analyse Wavelet Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008412437&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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