| 书目名称 | Complex Analysis | | 副标题 | In the Spirit of Lip | | 编辑 | Jane P. Gilman,Irwin Kra,Rubí E. Rodríguez | | 视频video | http://file.papertrans.cn/232/231360/231360.mp4 | | 概述 | Covers vast majority of the material needed for a beginning graduate level course on complex analysis.Elegant and economical treatment of complex analysis.Provides many ways of understanding the conce | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | This bookpresents fundamental material that should be part of the education of every practicing mathematician. This material will also be of interest to computer scientists, physicists, and engineers. Complex analysis is also known as function theory. In this text we address the theory of complex-valued functions of a single complex variable. This is a prerequisite for the study of many current and rapidlydevelopingareasofmathematics, includingthetheoryofseveral andin?nitely many complex variables, thetheoryofgroups, hyperbolic geometry and three-manifolds, and number theory. Complex analysis has connections and applications to many other many other subjects in mathematics, and also to other sciences as an area where the classic and the modern techniques meet and bene?t from each other. We will try to illustrate this in the applications we give. Because function theory has been used by generations of practicing mathematicians working in a number of di?erent ?elds, the basic - sults have been developed and redeveloped from a number of di?erent perspectives. We are not wedded to any one viewpoint. Rather we will try to exploit the richness of the subject and explain and interpret sta | | 出版日期 | Textbook 20071st edition | | 关键词 | Complex analysis; analytic function; calculus | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-74715-6 | | isbn_ebook | 978-0-387-74715-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York 2007 |
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