Computational geosciences with Mathematica:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 381 S. Ill., graph. Darst. CD-ROM (12 cm) |
| ISBN: | 3540402454 |
Staff View
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| 245 | 1 | 0 | |a Computational geosciences with Mathematica |c William C. Haneberg |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
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Record in the Search Index
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WILLIAM C. HANEBERG COMPUTATIONAL GEOSCIENCES WITH MATHEMATICA WITH 297
FIGURES AND A CD-ROM ^J SPRINGER CONTENTS INTRODUCTION TO MATHEMATICA 1
1.1 WHAT IS MATHEMATICAL 1 1.2 GETTING HELP 2 1.3 INSTALLING AND RUNNING
MATHEMATICA 2 1.4 HOW THE BOOK IS ORGANIZED 3 1.5 A BRIEF TOUR OF
MATHEMATICA 4 1.5.1 SYMBOLIC AND NUMERICAL OPERATIONS 4 1.5.2 VECTOR AND
MATRIX OPERATIONS 8 1.5.3 2-D AND 3-D GRAPHING 10 1.5.4 USER-DEFINED
FUNCTIONS 20 1.5.5 DATA IMPORT AND EXPORT 21 1.5.6 MATHEMATICA PACKAGES
22 1.6 REFERENCES AND RECOMMENDED READING 23 SPECIAL PLOTS FOR
GEOSCIENCE DATA 25 2.1 MATHEMATICA PACKAGES YOU WILL NEED 25 2.2
OVERVIEW 25 2.3 STEM PLOTS 25 2.3.1 IMPORTING THE DATA 26 2.3.2 CREATING
THE STEM PLOT 26 2.4 ROSE PLOTS 29 2.4.1 IMPORTING THE DATA 29 2.4.2
CREATING THE ROSE PLOT 30 2.5 TERNARY PLOTS 35 2.6 STEREOGRAPHIC
PROJECTIONS 37 2.6.1 STEREOGRAPHIC PROJECTIONS OF PLANES 38 2.6.2
STEREOGRAPHIC PROJECTIONS OF LINES 39 2.7 EQUAL AREA PROJECTIONS 41
2.7.1 EQUAL AREA PROJECTIONS OF LINES 41 2.7.2 CONTOURING EQUAL AREA
PROJECTIONS 43 2.8 BOX AND WHISKER PLOTS 47 2.9 WELL LOGS 49 2.10
REFERENCES AND RECOMMENDED READING 55 X CONTENTS 3 MANIPULATING AND
SOLVING EQUATIONS 57 3.1 MATHEMATICA PACKAGES YOU WILL NEED 57 3.2 BASIC
SYMBOLIC MANIPULATION 57 3.3 MATRIX AND VECTOR OPERATIONS 62 3.4 LINEAR
EQUATION SOLVING 64 3.4.1 SOLVE, ROOTS, AND REDUCE 64 3.4.2 NSOLVE AND
FINDROOTS 66 3.4.3 GEOSCIENCE EXAMPLES 68 3.5 ORDINARY DIFFERENTIAL
EQUATIONS 78 3.5.1 MANUAL MANIPULATION AND INTEGRATION 78 3.5.2
SOLUTIONS USING DSOLVE AND NDSOLVE 80 3.5.3 GEOSCIENCE EXAMPLES 81 3.6
PARTIAL DIFFERENTIAL EQUATIONS 103 3.6.1 HILLSLOPE DIFFUSION 103 3.6.2
PERIODIC HEAT FLOW 109 3.6.3 TOPOGRAPHIC LOADING OF EARTH'S CRUST 113
3.6.4 TWO DIMENSIONAL STEADY GROUNDWATER FLOW 119 3.7 REFERENCES AND
RECOMMENDED READING 129 4 RANDOM VARIABLES AND UNIVARIATE PROBABILITY
DISTRIBUTIONS 131 4.1 MATHEMATICA PACKAGES YOU WILL NEED 131 4.2 THE
CONCEPT OF RANDOM VARIABLES 131 4.3 SOME CONTINUOUS DISTRIBUTIONS 133
4.3.1 NORMAL DISTRIBUTION 133 4.3.2 LOG-NORMAL DISTRIBUTION 135 4.3.3
UNIFORM DISTRIBUTION 136 4.3.4 EXTREME VALUE DISTRIBUTION 137 4.3.5 BETA
DISTRIBUTION 137 4.3.6 PARETO DISTRIBUTION 139 4.4 SOME DISCRETE
DISTRIBUTIONS 140 4.4.1 POISSON DISTRIBUTION 140 4.4.2 BINOMIAL
DISTRIBUTION 142 4.5 RELATING DISTRIBUTIONS TO DATA: METHOD OF MOMENTS
142 4.5.1 HOW GOOD ARE THOSE ESTIMATES? 145 4.6 PARAMETRIC HYPOTHESIS
TESTING: T AND F TESTS 147 4.6.1 THE T STATISTIC 148 4.6.2 CRITICAL T
VALUES 149 4.6.3 COMPARING TWO MEANS OR VARIANCES 152 4.7 NONPARAMETRIC
HYPOTHESIS TESTING: K-S TESTS 154 4.8 GENERATING RANDOM NUMBERS FROM
PROBABILITY DISTRIBUTIONS 157 4.9 CARE AND FEEDING OF THE RANDOM NUMBER
GENERATOR 162 4.10 ILLUSTRATING THE CENTRAL LIMIT THEOREM 163 4.11 THE
PITFALLS OF UNDERSAMPLING 166 4.12 REFERENCES AND RECOMMENDED READING
171 CONTENTS XI PROBABILISTIC SIMULATION 173 5.1 MATHEMATICA PACKAGES
YOU WILL NEED 173 5.2 FLOOD FREQUENCY MODELING 173 5.2.1 PLOTTING THE
DATA 174 5.2.2 LOG-NORMAL AND EXTREME VALUE DISTRIBUTION FITTING 175
5.2.3 EMPIRICAL CUMULATIVE DISTRIBUTION 177 5.2.4 COMPARISON OF RESULTS
178 5.2.5 EXCEEDANCE PROBABILITY AND RECURRENCE INTERVALS 179 5.3 DIDN'T
WE JUST HAVE A 100 YEAR FLOOD? 181 5.4 MONTE CARLO SIMULATION OF A
WETTING FRONT 183 5.5 MONTE CARLO ANALYSIS OF INFINITE SLOPE STABILITY
186 5.5.1 STATIC FACTOR OF SAFETY 186 5.5.2 EFFECTS OF CHANGING
INDEPENDENT VARIABLE DISTRIBUTIONS . 189 5.5.3 CONDITIONAL
PROBABILITY: EARTHQUAKES AND SLOPE STABILITY . 192 5.6 APPARENT CLAST
SIZE DISTRIBUTIONS: THE OUTCROP EFFECT 196 5.6.1 RANDOMLY ROTATED
ELLIPSOIDS 202 5.7 REFERENCES AND RECOMMENDED READING 211 INTERPOLATION
AND REGRESSION 213 6.1 MATHEMATICA PACKAGES YOU WILL NEED 213 6.2
INTERPOLATION OR REGRESSION: WHICH IS APPROPRIATE? 213 6.3 INTERPOLATION
214 6.3.1 FINDING A SINGLE INTERPOLATING POLYNOMIAL 214 6.3.2 PIECEWISE
POLYNOMIAL INTERPOLATION 218 6.4 LINEAR REGRESSION 221 6.4.1 DERIVATION
OF LINEAR LEAST SQUARES EQUATIONS 222 6.4.2 RESIDUALS 226 6.4.3
GOODNESS-OF-FIT AND THE CORRELATION COEFFICIENT 228 6.4.4 SIGNIFICANCE
OF REGRESSION RESULTS: ANOVA 229 6.4.5 USING FIT AND REGRESS 231 6.4.6
CAN I SOLVE FOR THE INDEPENDENT VARIABLE? 233 6.4.7 REDUCED MAJOR AXIS
REGRESSION: TWO VARIABLES WITH ERROR . 240 6.5 NONLINEAR REGRESSION 244
6.5.1 NONLINEAR LEAST SQUARES 245 6.5.2 LOGISTIC REGRESSION 247 6.6
REFERENCES AND RECOMMENDED READING 255 VISUALIZING AND ANALYZING
SURFACES 257 7.1 MATHEMATICA PACKAGES YOU WILL NEED 257 7.2 GRIDDED DATA
257 7.2.1 DIGITAL ELEVATION MODELS 258 7.2.2 IMPORTING SDTS DEM FILES
259 7.2.3 CONTOUR PLOTS 260 7.2.4 DENSITY PLOTS 263 7.2.5 THREE
DIMENSIONAL SURFACE PLOTS 265 XII CONTENTS 7.2.6 QUANTITATIVE TERRAIN
ANALYSIS 268 7.2.7 COMPOSITE GEOMORPHIC MAPS 281 7.3 IRREGULARLY SPACED
DATA 284 7.3.1 RECIPROCAL DISTANCE GRIDDING 290 7.3.2 THIN PLATE SPLINE
GRIDDING 292 7.3.3 A NOTE ABOUT KRIGING 294 7.3.4 ADDING WELL LOCATIONS
TO SURFACE PLOTS 294 7.3.5 COMPARING RESULTS 296 7.4 TREND SURFACE
MAPPING 298 7.5 REFERENCES AND RECOMMENDED READING 305 8 DIGITAL SIGNAL
AND IMAGE PROCESSING 307 8.1 MATHEMATICA PACKAGES YOU WILL NEED 307 8.2
THE NATURE OF PERIODIC WAVEFORMS 307 8.3 DISCRETE FOURIER TRANFORMS 310
8.4 AUTOCOVARIANCE AND AUTOCORRELATION 318 8.5 FILTERS AND CONVOLUTION
321 8.5.1 FIRST DIFFERENCES 322 8.5.2 MOVING AVERAGES AND SMOOTHING 325
8.5.3 HIGH-PASS FILTERING 327 8.6 IMAGE PROCESSING 328 8.6.1 IMPORTING
DIGITAL IMAGES 328 8.6.2 BASIC MATHEMATICAL OPERATIONS 333 8.6.3
THRESHOLDING 337 8.6.4 SMOOTHING OR BLURRING 338 8.6.5 UNSHARP MASKING
340 8.6.6 EDGE DETECTION 342 8.6.7 USING LISTLNTERPOLATION 345 8.7
RECOMMENDED READING 347 APPENDIX A MATHEMATICA FUNCTIONS IN THE
COMPUTATIONAL GEOSCIENCE PACKAGE 349 A. 1 INTRODUCTION 349 A.2 PLOTTING
AND CALCULATIONS 349 A.3 COLOR FUNCTIONS 351 APPENDIX B WORKING WITH
COLOR 353 B.4 MATHEMATICA PACKAGES YOU WILL NEED 353 B.5 SPECIFYING
COLORS IN MATHEMATICA 353 B.5.1 HUE, SATURATION, AND BRIGHTNESS 353
B.5.2 RED, GREEN, AND BLUE (RGB) 355 B.5.3 CYAN, MAGENTA, YELLOW, AND
BLACK (CMYK) 358 B.5.4 OTHER COLOR SYSTEMS 358 B.6 USING COLOR IN PLOTS
AND GRAPHICS 359 B.6.1 PLOT AND LISTPLOT 359 CONTENTS XIII B.6.2 CONTOUR
AND DENSITY PLOTS 360 B.6.3 SURFACE PLOTS AND GRAPHICS 366 B.6.4
GRAPHICS3D 372 |
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| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie Geographie |
| format | Book |
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| id | DE-604.BV017430938 |
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| indexdate | 2024-07-20T07:52:10Z |
| institution | BVB |
| isbn | 3540402454 |
| language | English |
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| owner_facet | DE-703 DE-20 DE-706 DE-B16 |
| physical | XIII, 381 S. Ill., graph. Darst. CD-ROM (12 cm) |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
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| spelling | Haneberg, William C. Verfasser aut Computational geosciences with Mathematica William C. Haneberg Berlin [u.a.] Springer 2004 XIII, 381 S. Ill., graph. Darst. CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Mathematica (Computer file) Datenverarbeitung Mathematik Earth sciences Data processing Earth sciences Mathematics Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 gnd rswk-swf Geowissenschaften (DE-588)4020288-4 s Mathematica Programm (DE-588)4268208-3 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010502743&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haneberg, William C. Computational geosciences with Mathematica Mathematica (Computer file) Datenverarbeitung Mathematik Earth sciences Data processing Earth sciences Mathematics Mathematica Programm (DE-588)4268208-3 gnd Geowissenschaften (DE-588)4020288-4 gnd |
| subject_GND | (DE-588)4268208-3 (DE-588)4020288-4 |
| title | Computational geosciences with Mathematica |
| title_auth | Computational geosciences with Mathematica |
| title_exact_search | Computational geosciences with Mathematica |
| title_full | Computational geosciences with Mathematica William C. Haneberg |
| title_fullStr | Computational geosciences with Mathematica William C. Haneberg |
| title_full_unstemmed | Computational geosciences with Mathematica William C. Haneberg |
| title_short | Computational geosciences with Mathematica |
| title_sort | computational geosciences with mathematica |
| topic | Mathematica (Computer file) Datenverarbeitung Mathematik Earth sciences Data processing Earth sciences Mathematics Mathematica Programm (DE-588)4268208-3 gnd Geowissenschaften (DE-588)4020288-4 gnd |
| topic_facet | Mathematica (Computer file) Datenverarbeitung Mathematik Earth sciences Data processing Earth sciences Mathematics Mathematica Programm Geowissenschaften |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010502743&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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