An Introduction to Classical Complex Analysis. Volume I, Volume 82-I (Pure and Applied Mathematics) (Repost)

Description

The book goes deeply into several topics (e.g. convergence theory and plane topology), more than is customary in introductory texts, and extensive chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics and offer suggestions for further reading. These are keyed to a bibliography of over 1300 books and papers, for each of which volume and page numbers of a review in one of the major reviewing journals is cited. These notes and bibliography should be of considerable value to the expert as well as to the novice. For the latter there are many references to such thoroughly accessible journals as the American Mathematical Monthly and L'Enseignement Mathématique. Moreover, the actual prerequisites for reading the book are quite modest; for example, the exposition assumes no fore knowledge of manifold theory, and continuity of the Riemann map on the boundary is treated without measure theory.