Mathematics for seismic data: processing and interpretation
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Graham & Trotman
1984
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 255 S. graph. Darst. |
| ISBN: | 0860105121 |
Staff View
MARC
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| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Prospecting |x Geophysical methods |x Mathematics | |
| 650 | 4 | |a Seismic reflection method |x Mathematics | |
| 650 | 4 | |a Signal processing | |
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Record in the Search Index
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| adam_text | CONTENTS
FOREWORD ix
PREFACE xiii
INTRODUCTION xv
Chapter 1 SPECIAL FUNCTIONS 1
1 Functions 1
2 Polynomials and Step Functions 2
3 Trigonometric Functions 7
4 Power and Exponential Functions 14
5 Inverse Functions 16
6 New Functions from Old 20
7 Numbers 20
Chapter 2 CALCULUS: DIFFERENTIATION 27
1 Introduction 27
2 Higher Derivatives 35
3 Maxima and Minima 37
4 Taylor Series and Approximations 41
5 Partial Derivatives 43
6 Higher Order Partial Derivatives 46
7 Optimisation 48
Chapter 3 INTEGRATION 51
1 Introduction and Definition 51
2 The Relationship between Integration and Differentiation 54
3 Numerical Integration (Quadrature) 61
V
vi Contents
4 Double Integration 63
5 Line Integrals 66
6 Differential Equations 73
Chapter 4 COMPLEX NUMBERS 79
1 Introduction 79
2 The Beginning 79
3 Functions of Complex Variables 83
4 Differentiation and Integration 86
Chapter 5 MATRICES 89
1 Introduction 89
2 Definitions and Elementary Properties 89
3 Matrices 91
4 Multiplication of Matrices 93
5 Special Types of Matrices 96
6 Matrices as Functions 98
7 Linear Equations 100
8 Eigenvalues and Quadratic Forms 108
Chapter 6 STOCHASTIC PROCESSES, PROBABILITY AND
STATISTICS 112
1 Introduction 112
2 Probability 115
3 Permutations and Combinations 119
4 Probability Distributions 121
5 Joint Distributions 128
6 Expected Values and Moments 129
7 Real Data Samples 134
8 Two Variables 138
9 Simulation and Monte Carlo Methods 141
10 Confidence Intervals 144
11 Stochastic Processes 147
Chapter 7 FOURIER ANALYSIS 149
1 Introduction 149
2 Fourier Series 149
3 Some Examples of Fourier Analysis 152
4 The Phase, Amplitude and Exponential Formulation 154
5 Fourier Transform 158
6 The z Transform 162
Contents vii
7 The Discrete Fourier Transform 163
8 Fast Fourier Transform 168
9 Frequency Domain 171
Chapter 8 TIME SERIES 174
1 Stationary and Related Series 175
2 Aliasing and Sampling 183
3 Filters and Convolutions 188
Chapter 9 APPLICATIONS 197
1 Wavelets 197
2 Predictive Deconvolution 204
Appendix 1 REFERENCES TO APPLICATIONS 211
Appendix 2 SOME USEFUL FORMULAE FOR READY
REFERENCE 215
Appendix 3 PROGRAMS 218
INDEX 251
|
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| callnumber-first | T - Technology |
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| callnumber-subject | TN - Mining Engineering and Metallurgy |
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| ctrlnum | (OCoLC)11645773 (DE-599)BVBBV001216058 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-sort | 3510 524553 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:25:24Z |
| institution | BVB |
| isbn | 0860105121 |
| language | English |
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| physical | XVIII, 255 S. graph. Darst. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
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| publisher | Graham & Trotman |
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| spelling | Camina, Alan R. Verfasser (DE-588)1029588570 aut Mathematics for seismic data processing and interpretation A. R. Camina and G. Janacek 1. publ. London Graham & Trotman 1984 XVIII, 255 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Prospecting Geophysical methods Mathematics Seismic reflection method Mathematics Signal processing Seismik (DE-588)4180758-3 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Seismik (DE-588)4180758-3 s Mathematische Methode (DE-588)4155620-3 s DE-604 Janacek, Gareth J. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000733846&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Camina, Alan R. Janacek, Gareth J. Mathematics for seismic data processing and interpretation Mathematik Prospecting Geophysical methods Mathematics Seismic reflection method Mathematics Signal processing Seismik (DE-588)4180758-3 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4180758-3 (DE-588)4155620-3 |
| title | Mathematics for seismic data processing and interpretation |
| title_auth | Mathematics for seismic data processing and interpretation |
| title_exact_search | Mathematics for seismic data processing and interpretation |
| title_full | Mathematics for seismic data processing and interpretation A. R. Camina and G. Janacek |
| title_fullStr | Mathematics for seismic data processing and interpretation A. R. Camina and G. Janacek |
| title_full_unstemmed | Mathematics for seismic data processing and interpretation A. R. Camina and G. Janacek |
| title_short | Mathematics for seismic data |
| title_sort | mathematics for seismic data processing and interpretation |
| title_sub | processing and interpretation |
| topic | Mathematik Prospecting Geophysical methods Mathematics Seismic reflection method Mathematics Signal processing Seismik (DE-588)4180758-3 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Mathematik Prospecting Geophysical methods Mathematics Seismic reflection method Mathematics Signal processing Seismik Mathematische Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000733846&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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