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Titlebook: Complex Analysis; In the Spirit of Lip Jane P. Gilman,Irwin Kra,Rubí E. Rodríguez Textbook 20071st edition Springer-Verlag New York 2007 Co

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書目名稱Complex Analysis
副標(biāo)題In the Spirit of Lip
編輯Jane P. Gilman,Irwin Kra,Rubí E. Rodríguez
視頻videohttp://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
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Complex Analysis; In the Spirit of Lip Jane P. Gilman,Irwin Kra,Rubí E. Rodríguez Textbook 20071st edition Springer-Verlag New York 2007 Co
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
關(guān)鍵詞Complex analysis; analytic function; calculus
版次1
doihttps://doi.org/10.1007/978-0-387-74715-6
isbn_ebook978-0-387-74715-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag New York 2007
The information of publication is updating

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,The Cauchy Theory–Key Consequences,hapter is very short, it includes proofs of many of the implications of the Fundamental Theorem 1.1. We point out that these relatively compact proofs of a host of major theorems result from the work put in Chapter 4 and earlier chapters.
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Conformal Equivalence,l simply connected domains in the complex plane. The first two sections of this chapter study the action of a quotient of the group of two-by-two nonsingular complex matrices on the extended complex plane
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Complex Analysis978-0-387-74715-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Altersgruppenvergleich: Kind / Erz?hlerl simply connected domains in the complex plane. The first two sections of this chapter study the action of a quotient of the group of two-by-two nonsingular complex matrices on the extended complex plane
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