LEADER 02666nam 22004695 450 001 9910300126203321 005 20200701022623.0 010 $a981-13-2886-2 024 7 $a10.1007/978-981-13-2886-2 035 $a(CKB)4100000007158998 035 $a(DE-He213)978-981-13-2886-2 035 $a(MiAaPQ)EBC6312932 035 $a(PPN)23246989X 035 $a(EXLCZ)994100000007158998 100 $a20181122d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aReal and Complex Analysis $eVolume 2 /$fby Rajnikant Sinha 205 $a1st ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (XI, 679 p. 9 illus.) 311 $a981-13-2885-4 327 $aChapter 1. Holomorphic and Harmonic Functions -- Chapter 2. Conformal Mapping -- Chapter 3. Analytic Continuation -- Chapter 4. Special Functions. 330 $aThis is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard?s little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries. 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aAnalysis. 676 $a515 700 $aSinha$b Rajnikant$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721177 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300126203321 996 $aReal and complex analysis$91563610 997 $aUNINA