Nicht aus der Schweiz? Besuchen Sie lehmanns.de

An Introduction to the Mathematical Theory of Inverse Problems

(Autor)

Buch | Hardcover
310 Seiten
2011 | 2nd ed. 2011
Springer-Verlag New York Inc.
978-1-4419-8473-9 (ISBN)

Lese- und Medienproben

An Introduction to the Mathematical Theory of Inverse Problems - Andreas Kirsch
CHF 112,30 inkl. MwSt
  • Titel erscheint in neuer Auflage
  • Artikel merken
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. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples.
The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed.

In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces  the reader to the inverse problem of electrical impedance tomography.

Andreas Kirsch is a Professor in the Department of Mathematics at Karlsruhe Institute of Technology.

 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.- References.- Index

Erscheint lt. Verlag 6.4.2011
Reihe/Serie Applied Mathematical Sciences ; 120
Zusatzinfo XIV, 310 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Gewicht 1390 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 1-4419-8473-9 / 1441984739
ISBN-13 978-1-4419-8473-9 / 9781441984739
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
CHF 109,95