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Saturday, August 8, 2020 | History

6 edition of An introduction to the mathematical theory of inverse problems found in the catalog.

An introduction to the mathematical theory of inverse problems

by Andreas Kirsch

  • 38 Want to read
  • 7 Currently reading

Published by Springer in New York .
Written in English

    Subjects:
  • Inverse problems (Differential equations)

  • Edition Notes

    Includes bibliographical references (p. [261]-278) and index.

    StatementAndreas Kirsch.
    SeriesApplied mathematical sciences ;, v. 120, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 120.
    Classifications
    LC ClassificationsQA1 .A647 vol. 120, QA371 .A647 vol. 120
    The Physical Object
    Paginationx, 282 p. :
    Number of Pages282
    ID Numbers
    Open LibraryOL979790M
    ISBN 10038794530X
    LC Control Number96017232

    The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions asBrand: Birkhäuser Basel. Introduction and basic concepts --Regularization theory for equations of the first kind --Regularization by discretization --Inverse Eigenvalue problems --An inverse problem in electrical impedance tomography --An inverse scattering problem --Basic facts from functional analysis --Proofs of .

    This book provides a comprehensive introduction to the techniques, tools and methods for inverse problems and data assimilation, and is written at the interface between mathematics and applications for students, researchers and developers in mathematics, physics, engineering, acoustics, electromagnetics, meteorology, biology, environmental and other applied sciences.   The book begins with a set of three introductory chapters that provide an introduction to mathematical modeling and inverse problems. After this introduction the authors give a concise development of the spectral theory of discrete linear inverse problems and Tikhonov regularization.

    An Introduction to the Mathematical Theory of Inverse Problems. por Andreas Kirsch. Applied Mathematical Sciences (Book ) ¡Gracias por compartir! Has enviado la siguiente calificación y reseña. Lo publicaremos en nuestro sitio después de haberla : Springer New York. Computational Inverse Problems, C. Vogel, SIAM Press, (This is an excellent book on inverse problems from a more mathematical point of view.). An Introduction to Inverse Problems with Applications, F.D.M. Neto and A. J. Neto, Springer, (A nice introduction to inverse theory from a mathematical point of view.).


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An introduction to the mathematical theory of inverse problems by Andreas Kirsch Download PDF EPUB FB2

This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.

In my view the book is a well-written introduction to a lot of mathematical terms used in theoretical works on inverse problems. Although the methods may be outdated a little, the mathematical basis of the methods seems to be very good and the examples are easy to understand.4/4(1).

This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.4/4(1). This book introduces the reader to the area of inverse problems.

The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems.

An introduction to the mathematical theory of inverse problems October October Read More. Author: Andreas Kirsch. Univ. (TH) Karlsruhe, Karlsruhe, Germany.

springer, This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.

The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered.

One of the main challenges in inverse problems is that they are often ill-posed; so that small errors in the “input” are magnified when one attempts to determine the inverse solution.

To me, one of the big takeaways from the book was how useful functional analysis is in inverse problems, both from an analysis point of view and an applied mathematical point of view, especially with the.

This book introduces the reader to the area of inverse problems. A relatively new branch of Applied Mathematics, the study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.

Hadamard (see [91]) introduced the concept of a well-posed problem, originating from the philosophy that the mathematical model of a physical problem has to have the properties of uniqueness, existence, and stability of the solution.

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these Format: Hardcover.

Read "An Introduction to the Mathematical Theory of Inverse Problems" by Andreas Kirsch available from Rakuten Kobo. This book introduces the reader to the area of inverse problems.

The study of inverse problems is of vital interest to m Brand: Springer New York. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.

The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Introduction to the theory of inverse problems / by: Bukhgeĭm, A.

Published: () An introduction to the mathematical theory of inverse problems / by: Kirsch, Andreas. An introduction to Inverse Problems Ge Malcolm Sambridge Books Chapter 7 on inverse problems Introductory Chapter on inverse problems Useful Bayesian tutorial (First 5 chapters) 5 Reference works Understanding inverse theory Ann.

Rev. Earth Planet. Sci., 5,Parker. In my view the book is a well-written introduction to a lot of mathematical terms used in theoretical works on inverse problems.

Although the methods may be outdated a little, the mathematical basis of the methods seems to be very good and the examples are easy to understand.4/5. Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems.

Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.

The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill. An Introduction to the Mathematical Theory of Inverse Problems | This book introduces the reader to the area of inverse problems.

The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. One of the earliest examples of a solution to an inverse problem was discovered by Hermann Weyl and published indescribing the asymptotic behavior of eigenvalues of the Laplace–Beltrami operator.

It is therefore no surprise that an appropriate mathematical framework for the analysis of inverse problems turns out to be the theory of function spaces and the fundamentals of the theory of Author: Charles Groetsch. An introduction to the mathematical theory of inverse problems.

[Andreas Kirsch] -- This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system.Inverse Problems, Multi-Scale Analysis and Effective Medium Theory Book Review Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements.ISBN: X OCLC Number: Description: x, pages: illustrations ; 25 cm: Contents: 1.

Introduction and Basic Concepts Regularization Theory for Equations of the First Kind Regularization by Discretization Inverse Eigenvalue Problems An Inverse Scattering Problem --App.

A. Basic Facts from Functional Analysis --App. B. Proofs of the Results of.