LEADER 03058nam 2200469 450 001 996466545503316 005 20220126163851.0 010 $a981-15-9219-5 024 7 $a10.1007/978-981-15-9219-5 035 $a(CKB)4100000011759470 035 $a(DE-He213)978-981-15-9219-5 035 $a(MiAaPQ)EBC6475838 035 $a(PPN)253857120 035 $a(EXLCZ)994100000011759470 100 $a20210326d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComplex analysis /$fAndrei Bourchtein, Ludmila Bourchtein 205 $a1st ed. 2021. 210 1$aSingapore :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (XIII, 346 p. 136 illus.) 225 1 $aHindustan Publishing Corporation,$x2730-6569 311 $a981-15-9218-7 327 $a1. Introduction -- 2. Analytic Functions and Their Properties -- 3. Singular Points. Laurent Series. Residues -- 4. Conformal Mappings. Elementary Functions -- 5. Fundamental Principles of Conformal Mappings. Transformations of Polygons. 330 $aThis book discusses all the major topics of complex analysis, beginning with the properties of complex numbers and ending with the proofs of the fundamental principles of conformal mappings. Topics covered in the book include the study of holomorphic and analytic functions, classification of singular points and the Laurent series expansion, theory of residues and their application to evaluation of integrals, systematic study of elementary functions, analysis of conformal mappings and their applications?making this book self-sufficient and the reader independent of any other texts on complex variables. The book is aimed at the advanced undergraduate students of mathematics and engineering, as well as those interested in studying complex analysis with a good working knowledge of advanced calculus. The mathematical level of the exposition corresponds to advanced undergraduate courses of mathematical analysis and first graduate introduction to the discipline. The book contains a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic skills and test the understanding of concepts. Other problems are more theoretically oriented and illustrate intricate points of the theory. Many additional problems are proposed as homework tasks whose level ranges from straightforward, but not overly simple, exercises to problems of considerable difficulty but of comparable interest. 410 0$aHindustan Publishing Corporation,$x2730-6569 606 $aMathematical analysis 615 0$aMathematical analysis. 676 $a515 700 $aBourchtein$b Andrei$01051999 702 $aBourchtein$b Ludmila 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466545503316 996 $aComplex analysis$92572125 997 $aUNISA