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Titlebook: Complex Analysis; In the Spirit of Lip Rubí E. Rodríguez,Irwin Kra,Jane P. Gilman Textbook 2013Latest edition Springer Science+Business Med

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发表于 2025-3-21 20:09:44 | 显示全部楼层 |阅读模式
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videohttp://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Titlebook: Complex Analysis; In the Spirit of Lip Rubí E. Rodríguez,Irwin Kra,Jane P. Gilman Textbook 2013Latest edition Springer Science+Business Med
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
doihttps://doi.org/10.1007/978-1-4419-7323-8
isbn_softcover978-1-4899-9908-5
isbn_ebook978-1-4419-7323-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 2013
The information of publication is updating

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https://doi.org/10.1007/978-1-4419-7323-8Cauchy theory; Dirichlet problem; Green‘s function; Riemann Mapping Theorem; analytic functions; complex
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Die Verschriftung des Japanischen, the first section we “solve” two natural problems using complex analysis. In the second, we state what we regard as the most important result in the theory of functions of one complex variable, which we label the fundamental theorem of complex function theory, in a form suggested by the teaching an
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Erfahrungen aus der Hochschullehre,e chapter is very short, it includes proofs of many of the implications of the fundamental theorem in complex function theory (Theorem 1.1). We point out that these relatively compact proofs of a host of major theorems result from the work put into Chap. 4 and earlier chapters.
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https://doi.org/10.1007/978-3-663-14547-9 describe a classification for isolated singularities. Functions that are holomorphic on an annulus have . expansions, an analogue of power series expansions for holomorphic functions on discs. Holomorphic functions with a finite number of isolated singularities in a domain can be integrated using t
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