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Geophysical data analysis = discrete inverse theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geophysical data analysis/ William Menke.
Reminder of title:	discrete inverse theory /
Author:	Menke, William,
Published:	London, United Kingdom :Elsevier Ltd. : : 2018.,
Description:	1 online resource.
Notes:	Includes index.
Subject:	Geophysics - Measurement. -
Online resource:	https://www.sciencedirect.com/science/book/9780128135556
ISBN:	9780128135563 (electronic bk.)

Geophysical data analysis = discrete inverse theory /
Menke, William,

Geophysical data analysisdiscrete inverse theory /[electronic resource] :William Menke. - Fourth edition. - London, United Kingdom :Elsevier Ltd. :2018. - 1 online resource.

Includes index.

Intro; Title page; Table of Contents; Copyright; Preface; Introduction; I.1 Forward and Inverse Theories; I.2 MATLAB as a Tool for Learning Inverse Theory; I.3 A Very Quick MATLAB Tutorial; I.4 Review of Vectors and Matrices and Their Representation in MATLAB; I.5 Useful MatLab Operations; Chapter 1: Describing Inverse Problems; Abstract; 1.1 Formulating Inverse Problems; 1.2 The Linear Inverse Problem; 1.3 Examples of Formulating Inverse Problems; 1.4 Solutions to Inverse Problems; 1.5 Problems; Chapter 2: Some Comments on Probability Theory; Abstract; 2.1 Noise and Random Variables

ISBN: 9780128135563 (electronic bk.)Subjects--Topical Terms:

903604
Geophysics
--Measurement.Index Terms--Genre/Form:

554714
Electronic books.

LC Class. No.: QC802.A1

Dewey Class. No.: 551

Geophysical data analysis = discrete inverse theory /
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245 1 0 $a Geophysical data analysis $h [electronic resource] : $b discrete inverse theory / $c William Menke.
250 $a Fourth edition.
260 $a London, United Kingdom : $c 2018. $b Elsevier Ltd. : $b Academic Press,
300 $a 1 online resource.
500 $a Includes index.
505 0 $a Intro; Title page; Table of Contents; Copyright; Preface; Introduction; I.1 Forward and Inverse Theories; I.2 MATLAB as a Tool for Learning Inverse Theory; I.3 A Very Quick MATLAB Tutorial; I.4 Review of Vectors and Matrices and Their Representation in MATLAB; I.5 Useful MatLab Operations; Chapter 1: Describing Inverse Problems; Abstract; 1.1 Formulating Inverse Problems; 1.2 The Linear Inverse Problem; 1.3 Examples of Formulating Inverse Problems; 1.4 Solutions to Inverse Problems; 1.5 Problems; Chapter 2: Some Comments on Probability Theory; Abstract; 2.1 Noise and Random Variables
505 8 $a 2.2 Correlated Data2.3 Functions of Random Variables; 2.4 Gaussian Probability Density Functions; 2.5 Testing the Assumption of Gaussian Statistics; 2.6 Conditional Probability Density Functions; 2.7 Confidence Intervals; 2.8 Computing Realizations of Random Variables; 2.9 Problems; Chapter 3: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1: The Length Method; Abstract; 3.1 The Lengths of Estimates; 3.2 Measures of Length; 3.3 Least Squares for a Straight Line; 3.4 The Least Squares Solution of the Linear Inverse Problem; 3.5 Some Examples
505 8 $a 3.6 The Existence of the Least Squares Solution3.7 The Purely Underdetermined Problem; 3.8 Mixed-Determined Problems; 3.9 Weighted Measures of Length as a Type of Prior Information; 3.10 Other Types of Prior Information; 3.11 The Variance of the Model Parameter Estimates; 3.12 Variance and Prediction Error of the Least Squares Solution; 3.13 Problems; Chapter 4: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2: Generalized Inverses; Abstract; 4.1 Solutions Versus Operators; 4.2 The Data Resolution Matrix; 4.3 The Model Resolution Matrix; 4.4 The Unit Covariance Matrix
505 8 $a 4.5 Resolution and Covariance of Some Generalized Inverses4.6 Measures of Goodness of Resolution and Covariance; 4.7 Generalized Inverses With Good Resolution and Covariance; 4.8 Sidelobes and the Backus-Gilbert Spread Function; 4.9 The Backus-Gilbert Generalized Inverse for the Underdetermined Problem; 4.10 Including the Covariance Size; 4.11 The Trade-Off of Resolution and Variance; 4.12 Checkerboard Tests; 4.13 Problems; Chapter 5: Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3: Maximum Likelihood Methods; Abstract; 5.1 The Mean of a Group of Measurements
505 8 $a 5.2 Maximum Likelihood Applied to Inverse Problem5.3 Model Resolution in the Presence of Prior Information; 5.4 Relative Entropy as a Guiding Principle; 5.5 Equivalence of the Three Viewpoints; 5.6 Chi-Square Test for the Compatibility of the Prior and Posterior Error; 5.7 The F-test of the Error Improvement Significance; 5.8 Problems; Chapter 6: Nonuniqueness and Localized Averages; Abstract; 6.1 Null Vectors and Nonuniqueness; 6.2 Null Vectors of a Simple Inverse Problem; 6.3 Localized Averages of Model Parameters; 6.4 Relationship to the Resolution Matrix; 6.5 Averages Versus Estimates
588 $a Online resource; title from PDF title page (EBSCO, viewed April 17, 2018).
650 0 $a Geophysics $x Measurement. $3 903604
650 0 $a Oceanography $x Measurement. $3 903605
650 0 $a Inverse problems (Differential equations) $x Numerical solutions. $3 528131
655 4 $a Electronic books. $2 local $3 554714
856 4 0 $u https://www.sciencedirect.com/science/book/9780128135556