TY - BOOK AU - Simon, Barry, AU - Simon, Barry, TI - Basic Complex Analysis SN - 9781470437763 U1 - 515 SIM PY - 2005/// CY - Rhode Island PB - : American Mathematical Society KW - Mathematics KW - Analysis KW - Mathematical analysis -- Textbooks KW - Functions of a complex variable -- Instructional exposition (textbooks, tutorial papers, etc KW - Sequences, series, summability -- Instructional exposition (textbooks, tutorial papers, etc KW - Integral transforms, operational calculus -- Instructional exposition (textbooks, tutorial papers, etc N1 - 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 N2 - 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. ER -