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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https://doi.org/10.1007/978-0-387-74715-6Complex analysis; analytic function; calculus

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Interstellar

Karolin Sch?fer,Vanessa HoffmannThe first section of this chapter introduces the complex plane, fixes notation, and discusses some useful concepts from real analysis. Some readers may initially choose to skim this section. The second section contains the definition and elementary properties of the class of holomorphic functions - the basic object of our study.

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Foundations,The first section of this chapter introduces the complex plane, fixes notation, and discusses some useful concepts from real analysis. Some readers may initially choose to skim this section. The second section contains the definition and elementary properties of the class of holomorphic functions - the basic object of our study.

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https://doi.org/10.1007/978-3-662-60498-4 the first section we “solve” two natural problems using complex analysis. In the second, we state the most important result in the theory of functions of one complex variable that we call the Fundamental Theorem of complex variables; its proof will occupy most of this volume.

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跟隨

https://doi.org/10.1007/978-3-658-31046-2hapter 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.