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Inverse Problems: Basics, Theory and Applications in Geophysics (Lecture Notes in Geosystems Mathematics and Computing) book cover by Mathias Richter
Paperback

Inverse Problems: Basics, Theory and Applications in Geophysics (Lecture Notes in Geosystems Mathematics and Computing)

by Mathias Richter

$52.79 / copy at 25+ copies As low as $51.59 at 100+Your best volume price

Paperback · 273 pages Springer International Publishing · 2021

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Inverse Problems

This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only; familiarity with more advanced mathematical theories like functional analysis is not required. Containing up-to-date methods, this book will provide readers with the tools necessary to compute regularized solutions of inverse problems. A variety of practical examples from geophysics are used to motivate the presentation of abstract mathematical ideas, thus assuring an accessible approach.

Beginning with four examples of inverse problems, the opening chapter establishes core concepts, such as formalizing these problems as equations in vector spaces and addressing the key issue of ill-posedness. Chapter Two then moves on to the discretization of inverse problems, which is a prerequisite for solving them on computers. Readers will be well-prepared for the final chapters that present regularized solutions of inverse problems in finite-dimensional spaces, with Chapter Three covering linear problems and Chapter Four studying nonlinear problems. Model problems reflecting scenarios of practical interest in the geosciences, such as inverse gravimetry and full waveform inversion, are fully worked out throughout the book. They are used as test cases to illustrate all single steps of solving inverse problems, up to numerical computations. Five appendices include the mathematical foundations needed to fully understand the material.

This second edition expands upon the first, particularly regarding its up-to-date treatment of nonlinear problems. Following the author’s approach, readers will understand the relevant theory and methodology needed to pursue more complex applications. Inverse Problems is ideal for graduate students and researchers interested in geophysics and geosciences.



The book, Inverse Problems: Basics, Theory and Applications in Geophysics (Lecture Notes in Geosystems Mathematics and Computing) [Bulk, Wholesale, Quantity] ISBN#9783030593162 in Paperback by Mathias Richter may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.

Details

Publisher
Springer International Publishing
Author
Mathias Richter
Format
Paperback
Published
Jan 6, 2021
ISBN-13
9783030593162
Pages
273
Printing
Printed on demand
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