Inverse Problems

Lingua: inglese

Editore: Springer Nature Switzerland AG, CH, 2021

3030593169 / 9783030593162

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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.…

Codice articolo LU-9783030593162

Titolo
Inverse Problems
Autore
Mathias Richter
Editore
Springer Nature Switzerland AG, CH
Anno di pubblicazione
2021
Condizione
New
Rilegatura
Paperback
Lingua
inglese
ISBN 10
3030593169
ISBN 13
9783030593162
Edizione
Second Edition 2020.
Dimensioni
15.5 x 1.65 x 23.5 cm

Rarewaves.com USA

London, London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

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ArticoloDa 10 a 15 giorni lavorativiDa 10 a 15 giorni lavorativi
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