تحلیل داده‌های ژئوفیزیکی: نظریه معکوس گسسته

Please use extracts from reviews of first edition Key Features * Updated and thoroughly revised edition * additional material on geophysical/acoustic tomography * Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies Content: Front Matter , Page iii Copyright , Page iv PREFACE , Pages xi-xii INTRODUCTION , Pages 1-5 1 - DESCRIBING INVERSE PROBLEMS , Pages 7-19 2 - SOME COMMENTS ON PROBABILITY THEORY , Pages 21-33 3 - SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 1: THE LENGTH METHOD , Pages 35-60 4 - SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 2: GENERALIZED INVERSES , Pages 61-78 5 - SOLUTION OF THE LINEAR, GAUSSIAN INVERSE PROBLEM, VIEWPOINT 3: MAXIMUM LIKELIHOOD METHODS , Pages 79-99 6 - NONUNIQUENESS AND LOCALIZED AVERAGES , Pages 101-107 7 - APPLICATIONS OF VECTOR SPACES , Pages 109-131 8 - LINEAR INVERSE PROBLEMS AND NON–GAUSSIAN DISTRIBUTIONS , Pages 133-142 9 - NONLINEAR INVERSE PROBLEMS , Pages 143-160 10 - FACTOR ANALYSIS , Pages 161-170 11 - SAMPLE INVERSE PROBLEMS , Pages 171-207 12 - NUMERICAL ALGORITHMS , Pages 209-249 APPENDIX A - IMPLEMENTING CONSTRAINTS WITH LAGRANGE MULTIPLIERS , Pages 251-252 APPENDIX B - L 2 INVERSE THEORY WITH COMPLEX QUANTITIES , Pages 253-254 REFERENCES , Pages 255-256 INDEX , Pages 257-260 Geophysical Data Analysis: Discrete Inverse Theory is an introductory text focusing on discrete inverse theory that is concerned with parameters that either are truly discrete or can be adequately approximated as discrete. Organized into 12 chapters, the book's opening chapters provide a general background of inverse problems and their corresponding solution, as well as some of the basic concepts from probability theory that are applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem, that is, the linear problem with Gaussian statistics, and discussions on problems that are non-Gaussian and nonlinear are covered in Chapters 8 and 9. Chapters 10-12 present examples of the use of inverse theory and a discussion on the numerical algorithms that must be employed to solve inverse problems on a computer. This book is of value to graduate students and many college seniors in the applied sciences.