Simon, Barry creator Simon, Barry text Rhode Island : American Mathematical Society ©2005 monographic eng

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xviii, 641 pages : illustrations ; 27 cm. A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Part 2A is devoted to basic complex analysis. PreliminariesThe Cauchy integral theorem: Basics Consequences of the Cauchy integral formulaChains and the ultimate Cauchy integral theoremMore consequences of the CITSpaces of analytic functionsFractional linear transformationsConformal mapsZeros of analytic functions and product formulaeElliptic functionsSelected additional topicsBibliographySymbol indexSubject indexAuthor indexIndex of capsule biographies / Barry Simon Mathematics Analysis Mathematical analysis -- Textbooks Functions of a complex variable -- Instructional exposition (textbooks, tutorial papers, etc Sequences, series, summability -- Instructional exposition (textbooks, tutorial papers, etc Integral transforms, operational calculus -- Instructional exposition (textbooks, tutorial papers, etc 515 SIM 9781470437763 :Raghav Books Private Limited :A-184 Nand Gram Ghaziabad 211201 20211217110744.0