书目名称 | Complex Analysis | 副标题 | In the Spirit of Lip | 编辑 | Rubí E. Rodríguez,Irwin Kra,Jane P. Gilman | 视频video | http://file.papertrans.cn/232/231348/231348.mp4 | 概述 | New edition extensively revised and updated.New topics include Bers‘s theorem on isomorphisms between rings of holomorphic functions on plane domains, necessary and sufficient conditions for the exist | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | .This book is intended for a graduate course in complex analysis, where the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. Complex analysis has connections and applications to many other subjects in mathematics and to other sciences. Thus this material will also be of interest to computer scientists, physicists, and engineers..The book covers most, if not all, of the material contained in Lipman Bers’s courses on first year complex analysis. In addition, topics of current interest, such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis, are explored..In addition to many new exercises, this second edition introduces a variety of new and interesting topics. New features include a section on Bers‘s theorem on isomorphisms between rings of holomorphic functions on plane domains; necessary and sufficient conditions for the existence of a bounded analytic function on the disc with pres | 出版日期 | Textbook 2013Latest edition | 关键词 | Cauchy theory; Dirichlet problem; Green‘s function; Riemann Mapping Theorem; analytic functions; complex | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4419-7323-8 | isbn_softcover | 978-1-4899-9908-5 | isbn_ebook | 978-1-4419-7323-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer Science+Business Media New York 2013 |
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