تحلیل داده‌های ژئوفیزیکی: نظریه معکوس گسسته: ویرایش متلب (جلد ۴۵) (ژئوفیزیک بین‌المللی، جلد ۴۵)

* Praise for the second edition: ''The author has produced a meaningful guide to the subject; one which a student (or professional unfamiliar with the field) can follow without great difficulty and one in which many motivational guideposts are provided....I think that the value of the book is outstanding....It deserves a prominent place on the shelf of every scientist or engineer who has data to interpret.''--GEOPHYSICS''As a meteorologist, I have used least squares, maximum likelihood, maximum entropy, and empirical orthogonal functions during the course of my work, but this book brought together these somewhat disparate techniques into a coherent, unified package....I recommend it to meteorologists involved with data analysis and parameterization.''--Roland B. Stull, THE BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY ''This book provides an excellent introductory account of inverse theory with geophysical applications....My experience in using this book, along with supplementary material in a course for the first year graduate students, has been very positive. I unhesitatingly recommend it to any student or researcher in the geophysical sciences.''--PACEOPH Content: Front matter , Pages i-ii Copyright , Page iv Dedication , Page v Preface , Pages vii-viii Introduction , Pages xv-xxxvi Chapter 1 - Describing Inverse Problems , Pages 1-14 , William Menke Chapter 2 - Some Comments on Probability Theory , Pages 15-37 , William Menke Chapter 3 - Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method , Pages 39-68 , William Menke Chapter 4 - Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses , Pages 69-88 , William Menke Chapter 5 - Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods , Pages 89-114 , William Menke Chapter 6 - Nonuniqueness and Localized Averages , Pages 115-122 , William Menke Chapter 7 - Applications of Vector Spaces , Pages 123-148 , William Menke Chapter 8 - Linear Inverse Problems and Non-Gaussian Statistics , Pages 149-161 , William Menke Chapter 9 - Nonlinear Inverse Problems , Pages 163-188 , William Menke Chapter 10 - Factor Analysis , Pages 189-205 , William Menke Chapter 11 - Continuous Inverse Theory and Tomography , Pages 207-229 , William Menke Chapter 12 - Sample Inverse Problems , Pages 231-259 , William Menke Chapter 13 - Applications of Inverse Theory to Solid Earth Geophysics , Pages 261-276 , William Menke Chapter 14 - Appendices , Pages 277-280 , William Menke Index , Pages 281-293

Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of:

• MATLAB examples and problem sets
• Advanced color graphics
• Coverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervals
• Online data sets and MATLAB scripts that can be used as an inverse theory tutorial.

• Additional material on probability, including Bayesian influence, probability density function, and metropolis algorithm
• Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies
• Numerous examples and end-of-chapter homework problems help you explore and further understand the ideas presented
• Use as classroom text facilitated by a complete set of exemplary lectures in Microsoft PowerPoint format and homework problem solutions for instructors
• Check out the companion website: http://www.elsevierdirect.com/companion.jsp?ISBN=9780123971609
  and the Instructor website: http://textbooks.elsevier.com/web/manuals.aspx?isbn=9780123971609

Praise for the second edition: ''The author has produced a meaningful guide to the subject; one which a student (or professional unfamiliar with the field) can follow without great difficulty and one in which many motivational guideposts are provided....I think that the value of the book is outstanding....It deserves a prominent place on the shelf of every scientist or engineer who has data to interpret.''--GEOPHYSICS ''As a meteorologist, I have used least squares, maximum likelihood, maximum entropy, and empirical orthogonal functions during the course of my work, but this book brought together these somewhat disparate techniques into a coherent, unified package....I recommend it to meteorologists involved with data analysis and parameterization.''--Roland B. Stull, THE BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY ''This book provides an excellent introductory account of inverse theory with geophysical applications....My experience in using this book, along with supplementary material in a course for the first year graduate students, has been very positive. I unhesitatingly recommend it to any student or researcher in the geophysical sciences.''--PACEOPH Since 1984, Geophysical Data Analysis has filled the need for a short, concise reference on inverse theory for individuals who have an intermediate background in science and mathematics. The new edition maintains the accessible and succinct manner for which it is known, with the addition of: MATLAB examples and problem sets Advanced color graphics Coverage of new topics, including Adjoint Methods; Inversion by Steepest Descent, Monte Carlo and Simulated Annealing methods; and Bootstrap algorithm for determining empirical confidence intervals Additional material on probability, including Bayesian influence, probability density function, and metropolis algorithm Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies Numerous examples and end-of-chapter homework problems help you explore and further understand the ideas presented Use as classroom text facilitated by a complete set of exemplary lectures in Microsoft PowerPoint format and homework problem solutions for instructors "The treatment of inverse theory in this book is divided into four parts. Chapters 1 and 2 provide a general background, explaining what inverse problems are and what constitutes their solution as well as reviewing some of the basic concepts from linear algebra and probability theory that will be applied throughout the text. Chapters 3-7 discuss the solution of the canonical inverse problem: the linear problem with Gaussian statistics. This is the best understood of all inverse problems; and it is here that the fundamental notions of uncertainty, uniqueness, and resolution can be most clearly developed. Chapters 8-11 extend the discussion to problems that are non-Gaussian, nonlinear and continuous. Chapters 12-13 provide examples of the use of inverse theory and a discussion of the steps that must be taken to solve inverse problems on a computer"-- Provided by publisher Machine generated contents note: Preface Introduction Chapter 1: Describing Inverse Problems Chapter 2: Some Comments on Probability Theory Chapter 3: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method Chapter 4: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses Chapter 5: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods Chapter 6: Nonuniqueness and Localized Averages Chapter 7: Applications of Vector Spaces Chapter 8: Linear Inverse Problems and Non-Gaussian Statistics Chapter 9: Nonlinear Inverse Problems Chapter 10: Factor Analysis Chapter 11: Continuous Inverse Theory and Tomography Chapter 12: Sample Inverse Problems Chapter 13: Applications of Inverse Theory to Solid Earth Geophysics Appendices.