Geophysical Data Analysis, Volume 45

1st Edition

Discrete Inverse Theory

Authors: William Menke William Menke
Hardcover ISBN: 9780124909212
eBook ISBN: 9780080507323
Imprint: Academic Press
Published Date: 28th August 1989
Page Count: 289
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Table of Contents

Intoduction. Describing Inverse Problems. Some Comments on Probability Theory. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 1. The Length Method. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 2. Generalized Inverses. Solution of the Linear, Gaussian Inverse Problem, Viewpoint 3. Maximum Likelihood Methods. Nonuniqueness and Localized Averages. Applications of Vector Spaces. Linear Inverse Problems and Non-Gaussian Distributions. Nonlinear Inverse Problems. Factor Analysis. Continuous Inverse Theory and Tomography. Sample Inverse Problems. Numerical Algorithms. Applications of Inverse Theory to Geophysics. Appendices. Implementing Constraints with Lagrange Multipliers. Inverse Theory with Complex Quantities. References. Index

Description

Please use extracts from reviews of first edition

Key Features

@introbul:Key Features @bul:* Updated and thoroughly revised edition

  • additional material on geophysical/acoustic tomography
  • Detailed discussion of application of inverse theory to tectonic, gravitational and geomagnetic studies

Readership

Graduate students and researchers in solid earth geophysics, seismology, atmospheric sciences and other areas of applied physics (e.g. image processing) and mathematics.


Details

No. of pages:
289
Language:
English
Copyright:
© Academic Press 1989
Published:
Imprint:
Academic Press
eBook ISBN:
9780080507323
Hardcover ISBN:
9780124909212

Reviews

@qu:"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." @source:--GEOPHYSICS @qu:"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." @source:--Roland B. Stull, THE BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY @qu:"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." @source:--PACEOPH


About the Authors

William Menke Author

William Menke is a Professor of Earth and Environmental Sciences at Columbia University, USA. His research focuses on the development of data analysis algorithms for time series analysis and imaging in the earth and environmental sciences and the application of these methods to volcanoes, earthquakes and other natural hazards.

Affiliations and Expertise

Lamont-Doherty Earth Observatory of Columbia University, Palisades, NY, USA

William Menke Author

William Menke is a Professor of Earth and Environmental Sciences at Columbia University, USA. His research focuses on the development of data analysis algorithms for time series analysis and imaging in the earth and environmental sciences and the application of these methods to volcanoes, earthquakes and other natural hazards.

Affiliations and Expertise

Lamont-Doherty Earth Observatory of Columbia University, Palisades, NY, USA