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Titlebook: Complex Analysis in One Variable; Raghavan Narasimhan,Yves Nievergelt Textbook 2001Latest edition Birkh?user Boston 2001 Meromorphic funct

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書目名稱Complex Analysis in One Variable
編輯Raghavan Narasimhan,Yves Nievergelt
視頻videohttp://file.papertrans.cn/232/231380/231380.mp4
圖書封面Titlebook: Complex Analysis in One Variable;  Raghavan Narasimhan,Yves Nievergelt Textbook 2001Latest edition Birkh?user Boston 2001 Meromorphic funct
描述The original edition of this book has been out of print for some years. The appear- ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.
出版日期Textbook 2001Latest edition
關(guān)鍵詞Meromorphic function; Monodromy; Residue theorem; Riemann surfaces; algebraic geometry; complex analysis;
版次2
doihttps://doi.org/10.1007/978-1-4612-0175-5
isbn_softcover978-1-4612-6647-1
isbn_ebook978-1-4612-0175-5
copyrightBirkh?user Boston 2001
The information of publication is updating

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https://doi.org/10.1007/978-1-4842-3963-6In this chapter, we shall prove the so-called “big” theorem of Picard which asserts that a holomorphic function with an (isolated) essential singularity assumes every value with at most one exception in any neighborhood of that singularity.
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https://doi.org/10.1007/979-8-8688-0113-6In this chapter, we shall prove that any simply connected open set in ?, which is not all of ?, is analytically isomorphic to the unit disc . = }. ? ?. < 1}. The proof will also enable us to characterize simple connectedness in several ways.
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https://doi.org/10.1007/978-1-4842-5626-8We saw in Chapter 6 that if Ω is open in ? andà;.,... ,à;. ∈ .(Ω) and have no common zeros in Ω, then there exist ..,... , .. ? .(Ω) such that ∑ ..à;. ≡ 1.
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Spring Boot Persistence Best PracticesIn this chapter we introduce and study subharmonic functions and use them to solve the Dirichlet problem for harmonic functions (on reasonable domains). We shall indicate some other applications of these functions at the end of the chapter.
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