The world according to wavelets: the story of a mathematical technique in the making
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Natick, Mass.
Peters
1998
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 330 S. Ill., graph. Darst. |
| ISBN: | 1568810725 9781568810720 |
Staff View
MARC
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| 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. | ||
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| 650 | 7 | |a Harmonische analyse |2 gtt | |
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Record in the Search Index
| _version_ | 1804127034894450688 |
|---|---|
| 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 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| spelling | Hubbard, Barbara Burke 1948- Verfasser (DE-588)115406174 aut The world according to wavelets the story of a mathematical technique in the making Barbara Burke Hubbard 2. ed. Natick, Mass. Peters 1998 XX, 330 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Harmonische analyse gtt Ondelettes Wavelets gtt Wavelets (Mathematics) Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Wavelet (DE-588)4215427-3 s DE-604 Harmonische Analyse (DE-588)4023453-8 s 2\p DE-604 Digitalisierung UB Passau application/pdf 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 Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| 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 |
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