LEADER 02799nam 2200565 450 001 9910720073003321 005 20240129143219.0 010 $a3-031-26428-2 024 7 $a10.1007/978-3-031-26428-3 035 $a(CKB)5850000000328942 035 $a(DE-He213)978-3-031-26428-3 035 $a(MiAaPQ)EBC7241971 035 $a(Au-PeEL)EBL7241971 035 $a(OCoLC)1378080153 035 $a(PPN)269657169 035 $a(EXLCZ)995850000000328942 100 $a20230614d2005 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to complex analysis in several variables /$fVolker Scheidemann 205 $aSecond edition. 210 1$aCham, Switzerland :$cSpringer Nature Switzerland AG,$d[2005] 210 4$d©2005 215 $a1 online resource (XII, 229 p. 5 illus., 4 illus. in color.) 225 1 $aCompact Textbooks in Mathematics,$x2296-455X 311 $a3-031-26427-4 320 $aIncludes bibliographical references. 330 $aThis book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support. 410 0$aCompact Textbooks in Mathematics,$x2296-455X 606 $aFunctions of several complex variables 606 $aFuncions de diverses variables complexes$2thub 606 $aEquacions en derivades parcials$2thub 606 $aFuncions analítiques$2thub 608 $aLlibres electrònics$2thub 615 0$aFunctions of several complex variables. 615 7$aFuncions de diverses variables complexes 615 7$aEquacions en derivades parcials 615 7$aFuncions analítiques 676 $a515/.94 700 $aScheidemann$b Volker$f1968-$01368223 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910720073003321 996 $aIntroduction to complex analysis in several variables$93393130 997 $aUNINA