LEADER 03059nam 2200445 450 001 996466563503316 005 20210315184504.0 010 $a3-030-63343-8 024 7 $a10.1007/978-3-030-63343-1 035 $a(CKB)4100000011763140 035 $a(DE-He213)978-3-030-63343-1 035 $a(MiAaPQ)EBC6478925 035 $a(PPN)253859093 035 $a(EXLCZ)994100000011763140 100 $a20210315d2021 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn introduction to the mathematical theory of inverse problems /$fAndreas Kirsch 205 $aThird edition. 210 1$aCham, Switzerland :$cSpringer,$d2021. 215 $a1 online resource (XVII, 400 p. 13 illus.) 225 1 $aApplied Mathematical Sciences ;$vVolume 120 311 $a3-030-63342-X 327 $aIntroduction 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. 330 $aThis graduate-level textbook introduces the reader to the area of inverse problems, vital to many fields including geophysical exploration, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with ill-posed problems, analyzing basic properties of regularization methods for ill-posed problems via several simple analytical and numerical examples. The book also presents three special nonlinear inverse problems in detail: the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness, and continuous dependence on parameters. Ultimately, the text discusses theoretical results as well as numerical procedures for the inverse problems, including many exercises and illustrations to complement coursework in mathematics and engineering. This updated text includes a new chapter on the theory of nonlinear inverse problems in response to the field?s growing popularity, as well as a new section on the interior transmission eigenvalue problem which complements the Sturm-Liouville problem and which has received great attention since the previous edition was published. . 410 0$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$vVolume 120. 606 $aInverse problems (Differential equations) 615 0$aInverse problems (Differential equations) 676 $a515.357 700 $aKirsch$b Andreas$f1953-$028299 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466563503316 996 $aIntroduction to the mathematical theory of inverse problems$9349256 997 $aUNISA LEADER 01155nam a2200301 i 4500 001 991001891349707536 008 020 $a8842053317 035 $ab13443628-39ule_inst 040 $aDip.to Studi Storici$bita 082 0 $a193 100 1 $aKant, Immanuel$048116 245 10$aCritica del giudizio /$c Immanuel Kant ; traduzione di Alfredo Gargiulo ; introduzione di Paolo D'Angelo 250 $a3.ed 260 $aBari :$bLaterza, $c2005 300 $aLXII, 765 p. ;$c21 cm 440 0$aEconomia Laterza ;$v118 650 4$aFilosofia 650 4$aKant, Immanuel. Critica del giudizio 700 1 $aGargiulo, Alfredo 700 1 $aD'Angelo, Paolo 907 $a.b13443628$b09-03-22$c16-10-06 912 $a991001891349707536 945 $aLE005 193 KAN01. DAN01. 01$g1$i2005000179570$lle005$o-$pE16.00$q-$rl$s- $t0$u8$v7$w8$x0$y.i14339614$z03-01-07 945 $aLE023 193 KAN 1 3 $g1$i2023000088241$lle023$o-$pE16.00$q-$rl$s- $t0$u6$v2$w6$x0$y.i14305355$z23-10-06 996 $aKritik der Urteilskraft$914261 997 $aUNISALENTO 998 $ale005$a(2)le023$b16-10-06$cm$da $e-$fita$git $h0$i3