Basic complex analysis
- Providence: American Mathematical Society, 2015
- xviii, 639 p. 24 cm.
A Comprehensive Course in Analysis by Poincaré 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. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2A is devoted to basic complex analysis. It interweaves three analytic threads associated with Cauchy, Riemann, and Weierstrass, respectively.
9781470437763
Complex numbers Homology Cauchy integral theorem Hurewicz's theorem