This monograph is a revised and extended version of the Russian edition from 1978. It includes the general theory of linear ill-posed problems concerning e. g. the structure of sets of uniform regularization, the theory of error estimation, and the optimality method. As a distinguishing feature the bookconsiders ill-posed problems not only in Hilbert but also in Banach spaces.
It is natural that since the appearance of the first edition considerable progress has been madein the theory of inverse and ill-posed problems as wall as in ist applications. To reflect these accomplishments the authors included additional material e. g. comments to each chapter and a list of monographs with annotations.
Rezensionen / Stimmen
'...This monograph is a translation of the book published by Nauka in 1978 (..) but the considered topics are still of interest, in particular due to the consideration of operator perturbations. The presentation of the material is clear and self-contained, and the monograph can be recommended to researchers as well as to students. As an extension to the Nauka edition, recent developments have been included at the end of each chapter, and some recent publications have been added to the list of references.' Robert Plato (Berlin), Zentralblatt MATH 1037, 2004
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
US School Grade: College Graduate Student
Illustrationen
5 s/w Abbildungen
5 Illustrations, black and white
Gewicht
ISBN-13
978-90-6764-367-2 (9789067643672)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Valentin K. Ivanov ?; Vladimir V. Vasin, Institute of Mathematics and Mechanics, Russian Academy of Sciences, Ekaterinburg, Russia; Vitalii P. Tanana, South Ural State University, Chelyabinsk, Russia.
