03061nam 2200445 450 991048388440332120210315184504.03-030-63343-810.1007/978-3-030-63343-1(CKB)4100000011763140(DE-He213)978-3-030-63343-1(MiAaPQ)EBC6478925(PPN)253859093(EXLCZ)99410000001176314020210315d2021 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAn introduction to the mathematical theory of inverse problems /Andreas KirschThird edition.Cham, Switzerland :Springer,2021.1 online resource (XVII, 400 p. 13 illus.) Applied Mathematical Sciences ;Volume 1203-030-63342-X Introduction and Basic Concepts -- Regularization Theory for Equations of the First Kind -- Regularization by Discretization -- Nonlinear Inverse Problems -- Inverse Eigenvalue Problems -- An Inverse Problem in Electrical Impedance Tomography -- An Inverse Scattering Problem -- Basic Facts from Functional Analysis -- References -- Index.This graduate-level textbook introduces the reader to the area of inverse problems, vital to many fields including geophysical exploration, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with ill-posed problems, analyzing basic properties of regularization methods for ill-posed problems via several simple analytical and numerical examples. The book also presents three special nonlinear inverse problems in detail: the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness, and continuous dependence on parameters. Ultimately, the text discusses theoretical results as well as numerical procedures for the inverse problems, including many exercises and illustrations to complement coursework in mathematics and engineering. This updated text includes a new chapter on the theory of nonlinear inverse problems in response to the field’s growing popularity, as well as a new section on the interior transmission eigenvalue problem which complements the Sturm-Liouville problem and which has received great attention since the previous edition was published. .Applied mathematical sciences (Springer-Verlag New York Inc.) ;Volume 120.Inverse problems (Differential equations)Inverse problems (Differential equations)515.357Kirsch Andreas1953-28299MiAaPQMiAaPQMiAaPQBOOK9910483884403321Introduction to the mathematical theory of inverse problems349256UNINA01774nam0 22003973i 450 PUV008211420251003044310.0IT72-1657 19921006d1972 ||||0itac50 baitaitz01i xxxe z01nz01ncRDAcarrierˆGli ‰enti pubblici italianianagrafe, legislazione e giurisprudenza dal 1861 al 1970introduzione di Alberto MortaraMilanoCIRIECAngeli1972XXIV, 1033 p.23 cmCollana CIRIEC9001CFI00180462001 Collana CIRIEC971202CIRIECCFIV010334Enti pubbliciItaliaFIRSBLC004593I342.4506POTERE ESECUTIVO. ITALIA20351.45AMMINISTRAZIONE. ITALIA23IT/X422.2LEGISLAZIONE ITALIARIT/X422.3PUBBLICA AMMINISTRAZIONE ITALIARX033.7REPERTORI DI ENTI E ASSOCIAZIONIRMortara, AlbertoCFIV097171Tamara, Roberto L.LO1V323779Mortara, AlbertoITIT-00000019921006IT-BN0095 IT-NA0095 NAP SBSAB-CAM $NAP 01POZZO LIB.Vi sono collocati fondi di economia, periodici di ingegneria e scienze, periodici di economia e statistica e altri fondi comprendenti documenti di economia pervenuti in dono. PUV0082114Biblioteca Centralizzata di Ateneo1 v. 01POZZO LIB.F. PARRAVICINI 696 0101 0600164645E VMA 1 v. (Precedente collocazione P. 608)B 2005093020231204 01 SBEnti pubblici italiani678702UNISANNIO