LEADER 00837nam0 2200253 450 001 000030243 005 20121127122820.0 010 $a0-393-03550-6 100 $a20120123d1993----km-y0itaa50------ba 101 0 $aeng 102 $aUS 200 1 $a<> fronde$ea French revolution 1648-1652$fOrest Ranum 210 $aNew York ; London$cNorton$d1993 215 $a386 p.$cill.$d25 cm. 700 1$aRanum,$bOrest$0214054 801 0$aIT$bUniversità della Basilicata - B.I.A.$gREICAT$2unimarc 912 $a000030243 996 $aFronde$993405 997 $aUNIBAS BAS $aLETTERE CAT $aSTD074$b01$c20120123$lBAS01$h1112 CAT $aMDL$b30$c20121127$lBAS01$h1228 FMT Z30 -1$lBAS01$LBAS01$mBOOK$1BASA1$APolo Storico-Umanistico$2DSLA$BCollezione DiSSLA$3DD/3823$63823$5D3823$820120123$f04$FPrestabile Didattica LEADER 03061nam 2200445 450 001 9910483884403321 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 $a9910483884403321 996 $aIntroduction to the mathematical theory of inverse problems$9349256 997 $aUNINA