Projects in scientific computation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; Berlin ; Heidelberg
Springer
2000
[Santa Clara, Calif.] TELOS |
| Edition: | 1. softcover printing |
| Series: | Computer science, scientific computing, mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 447 - 454 |
| Physical Description: | XXIV, 470 S. Ill., graph. Darst. : 24 cm |
Staff View
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| 264 | 1 | |a [Santa Clara, Calif.] |b TELOS | |
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Record in the Search Index
| _version_ | 1807504597330165760 |
|---|---|
| adam_text |
PROJECTS
IN
PREFACE
VII
SUBJECT-PROJECT
BOOK
STRUCTURE
VIII
PROJECT
DESIGN
VIII
PROJECT
DIFFICULTY
IX
SUPPORT
SOFTWARE
X
HOW
TO
USE
THIS
BOOK
FOR
TEACHING
XI
HOW
TO
USE
THIS
BOOK
FOR
RESEARCH
XIII
GOLF
XIII
ACKNOWLEDGEMENTS
XIV
XVIII
Q
NUMBERS
EVERYWHERE
1
SELECTED
TOPICS
IN
NUMERICAL
ANALYSIS
1.1
NUMERICAL
EVALUATION
2
1.1.1
EVALUATION
OF
FAMOUS
CONSTANTS
6
1.1.2
EVALUATION
OF
ELEMENTARY
FUNCTIONS
16
1.1.3
SPECIAL
FUNCTIONS
30
1.2
EQUATION
SOLVING
32
1.2.1
MATRIX
ALGEBRA
33
1.2.2
NON-LINEAR
EQUATION
SYSTEMS
38
1.2.3
DIFFERENTIAL
EQUATIONS
40
1.3
RANDOM
NUMBERS
AND
MONTE
CARLO
42
1.3.1
GENERATING
RANDOM
NUMBERS
43
1.3.2
NUMERICAL
INTEGRATION
ANDMONTE
CARLO
47
CONTENTS
XIX
H
EXPLORATORY
COMPUTATION
51
COLLECTED
INTRA
AND
INTERDISCIPLINARY
PROJECTS
2.1
MATHEMATICAL
PROBLEMS
52
2.1.1
PLANAR
GEOMETRY
PROBLEMS
52
2.1.2
SYMBOLIC
MANIPULATION
55
2.1.3
REAL
AND
COMPLEX
ANALYSIS
62
2.2
NATURE-MOTIVATED
MODELS
68
2.2.1
NEURAL
NETWORK
EXPERIMENTS
70
2.2.2
GENETIC
ALGORITHMS
AND
ARTIFICIAL
LIFE
77
2.3
PROJECTS
FROM
BIOLOGY
79
2.3.1
POPULATION
MODELS
79
2.3.2
PHYSIOLOGY,
NEUROBIOLOGY,
ANDMEDICINE
84
2.3.3
MOLECULAR
BIOLOGY
89
2.4
PROJECTS
FROM
PHYSICS
AND
CHEMISTRY
92
2.4.1
CLASSICAL
PHYSICS
93
2.4.2
QUANTUM
THEORY
102
2.4.3
MOLECULES
AND
STRUCTURE
107
2.4.4
RELATIVITY
110
XX
CONTENTS
3
THE
LURE
OF
LARGE
NUMBERS
113
PROJECTS
IN
NUMBER
THEORY
3.1
LARGE-INTEGER
ARITHMETIC
3.1.1
TESTING
THE
OPERATIONS
3.2
PRIME
NUMBERS
3.2.1
MERSENNE
PRIMES
3.2.2
PRIMES
IN
GENERAL
3.3
FAST
ALGORITHMS
3.3.1
FAST
MULTIPLICATION
3.3.2
FAST
MOD,
DIVISION,
INVERSION
3.3.3
OTHER
FAST
ALGORITHMS
3.4
FACTORING
3.4.1
FACTORING
ALGORITHMS
3.4.2
STATUS
OF
FERMAT
NUMBERS
114
115
117
117
120
129
129
133
135
136
138
145
CONTENTS
XXI
EL
THE
FFT
FOREST
151
THE
UBIQUITOUS
FFT
AND
ITS
RELATIVES
4.1
DISCRETE
FOURIER
TRANSFORM
152
4.1.1
FUNDAMENTAL
DFT
MANIPULATIONS
155
4.1.2
ALGEBRAIC
ASPECTS
OF
THE
DFT
156
4.1.3
DFT
TEST
SIGNALS
160
4.1.4
DIRECT
DFT
SOFTWARE
162
4.2
FFT
ALGORITHMS
165
4.2.1
RECURSIVE
FFTS
166
4.2.2
FFT
INDEXING
AND
BUTTERFLIES
167
4.2.3
COMPLEX
FFTS,
N
A
POWER
OF
2
174
4.2.4
REAL-SIGNAL
FFTS
177
4.2.5
FFTS
FOR
OTHER
RADICES
178
4.2.6
FFTS
IN
HIGHER
DIMENSIONS
179
4.2.7
APPLICATIONS
OF
THE
FFT
181
4.3
REAL-VALUED
TRANSFORMS
182
4.3.1
HARTLEY
TRANSFORM
183
4.3.2
DISCRETE
COSINE
TRANSFORM
185
4.3.3
WALSH-HADAMARD
TRANSFORM
188
4.3.4
SQUARE-WAVE
TRANSFORM
191
XXII
CONTENTS
4.4
NUMBER-THEORETIC
TRANSFORMS
193
4.4.1
EXPLORING
NUMBER-THEORETIC
TRANSFORMS
194
B
WAVELETS
197
YOUNG
ARRIVALS
IN
THE
TRANSFORM
FAMILY
5.1
CHORDS,
NOTES,
AND
LITTLE
WAVES
199
5.1.1
WINDOWED
FOURIER
TRANSFORM
200
5.1.2
CONTINUOUS
WAVELET
TRANSFORM
203
5.2
DISCRETE
WAVELET
BASES
205
5.2.1
EXAMPLE
WAVELET
EXPANSIONS 206
5.2.2
MOTHER
FUNCTION
AND
ITS
WAVELET
208
5.2.3
WAVELETS
OF
COMPACT
SUPPORT
212
5.3
DISCRETE
WAVELET
TRANSFORM
216
5.3.1
FAST
WAVELET
TRANSFORM
ALGORITHMS
222
5.3.2
APPLICATIONS
OF
FAST
WAVELET
TRANSFORMS
224
CONTENTS
XXIII
6
COMPLEXITY
REIGNS
229
CHAOS
&
FRACTALS
&
SUCH
6.1
CHAOS
6.1.1
QUADRATIC
MAP
ALGEBRA
6.1.2
BIFURCATION
AND
CHAOS
6.1.3
CHAOS
MODELS
6.1.4
CHAOS,
STABILITY,
AND
LYAPUNOV
EXPONENTS
6.1.5
APPLICATIONS
OF
CHAOS
THEORY
6.2
FRACTALS
6.2.1
THEORY
OF
FRACTALS
6.2.2
VISUALIZATION
OF
FRACTALS
6.2.3
FRACTAL
BROWNIAN
NOISE
6.2.4
MEASUREMENT
OF
FRACTAL
DIMENSION
230
232
236
240
251
253
254
258
262
273
284
XXIV
CONTENTS
E
SIGNALS
FROM
THE
REAL
WORLD
293
PROJECTS
IN
SIGNAL
PROCESSING
7.1
DATA
COMPRESSION
294
7.1.1
TOUR
OF
LOSSLESS
DATA
COMPRESSORS
297
7.2
SOUND
307
7.2.1
EXAMPLES
OF
SOUND
PROCESSING
307
7.2.2
EXAMPLES
OF
SOUND
COMPRESSION
314
7.3
IMAGES
317
7.3.1
EXAMPLES
OF
IMAGE
PROCESSING 318
7.3.2
IMAGE
COMPRESSION 326
APPENDIX
331
SUPPORT
CODE
FOR
THE
BOOK
PROJECTS
REFERENCES
447
INDEX
457 |
| any_adam_object | 1 |
| author | Crandall, Richard E. 1947-2012 |
| author_GND | (DE-588)11390732X |
| author_facet | Crandall, Richard E. 1947-2012 |
| author_role | aut |
| author_sort | Crandall, Richard E. 1947-2012 |
| author_variant | r e c re rec |
| building | Verbundindex |
| bvnumber | BV013367858 |
| callnumber-first | Q - Science |
| callnumber-label | Q183 |
| callnumber-raw | Q183.9 |
| callnumber-search | Q183.9 |
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| callnumber-subject | Q - General Science |
| classification_rvk | SK 950 |
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| dewey-full | 510/.285/51 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.285/51 |
| dewey-search | 510/.285/51 |
| dewey-sort | 3510 3285 251 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. softcover printing |
| format | Book |
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| genre | (DE-588)4144384-6 Beispielsammlung gnd-content |
| genre_facet | Beispielsammlung |
| id | DE-604.BV013367858 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:11:49Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009118349 |
| oclc_num | 45048127 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XXIV, 470 S. Ill., graph. Darst. : 24 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer TELOS |
| record_format | marc |
| series2 | Computer science, scientific computing, mathematics |
| spelling | Crandall, Richard E. 1947-2012 Verfasser (DE-588)11390732X aut Projects in scientific computation Richard E. Crandall 1. softcover printing New York ; Berlin ; Heidelberg Springer 2000 [Santa Clara, Calif.] TELOS XXIV, 470 S. Ill., graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Computer science, scientific computing, mathematics Literaturverz. S. 447 - 454 Algoritmen gtt Berekeningen gtt Datenverarbeitung Naturwissenschaft Numerical analysis Data processing Science Data processing Programm (DE-588)4047394-6 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Wissenschaftliches Rechnen (DE-588)4338507-2 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Wissenschaftliches Rechnen (DE-588)4338507-2 s DE-604 Naturwissenschaften (DE-588)4041421-8 s Programm (DE-588)4047394-6 s 1\p DE-604 Mathematische Methode (DE-588)4155620-3 s 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009118349&sequence=000001&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 | Crandall, Richard E. 1947-2012 Projects in scientific computation Algoritmen gtt Berekeningen gtt Datenverarbeitung Naturwissenschaft Numerical analysis Data processing Science Data processing Programm (DE-588)4047394-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Naturwissenschaften (DE-588)4041421-8 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd |
| subject_GND | (DE-588)4047394-6 (DE-588)4155620-3 (DE-588)4041421-8 (DE-588)4338507-2 (DE-588)4144384-6 |
| title | Projects in scientific computation |
| title_auth | Projects in scientific computation |
| title_exact_search | Projects in scientific computation |
| title_full | Projects in scientific computation Richard E. Crandall |
| title_fullStr | Projects in scientific computation Richard E. Crandall |
| title_full_unstemmed | Projects in scientific computation Richard E. Crandall |
| title_short | Projects in scientific computation |
| title_sort | projects in scientific computation |
| topic | Algoritmen gtt Berekeningen gtt Datenverarbeitung Naturwissenschaft Numerical analysis Data processing Science Data processing Programm (DE-588)4047394-6 gnd Mathematische Methode (DE-588)4155620-3 gnd Naturwissenschaften (DE-588)4041421-8 gnd Wissenschaftliches Rechnen (DE-588)4338507-2 gnd |
| topic_facet | Algoritmen Berekeningen Datenverarbeitung Naturwissenschaft Numerical analysis Data processing Science Data processing Programm Mathematische Methode Naturwissenschaften Wissenschaftliches Rechnen Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009118349&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT crandallricharde projectsinscientificcomputation |