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Titlebook: Complex Analysis, Riemann Surfaces and Integrable Systems; Sergey M. Natanzon Textbook 2019 Springer Nature Switzerland AG 2019 meromorphi

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發(fā)表于 2025-3-21 19:26:40 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Complex Analysis, Riemann Surfaces and Integrable Systems
編輯Sergey M. Natanzon
視頻videohttp://file.papertrans.cn/232/231391/231391.mp4
概述Using basic tools from the first year of university studies, the book leads a reader to the impressive achievements of mathematics of the 21st century.Studying the book, the reader will get acquainted
叢書(shū)名稱Moscow Lectures
圖書(shū)封面Titlebook: Complex Analysis, Riemann Surfaces and Integrable Systems;  Sergey M. Natanzon Textbook 2019 Springer Nature Switzerland AG 2019 meromorphi
描述.This book is devoted to classical and modern achievements in complex analysis. In order to benefit most from it, a first-year university background is sufficient; all other statements and proofs are provided. ..We begin with a brief but fairly complete course on the theory of holomorphic, meromorphic, and harmonic functions. We then present a uniformization theory, and discuss a representation of the moduli space of Riemann surfaces of a fixed topological type as a factor space of a contracted space by a discrete group. Next, we consider compact Riemann surfaces and prove the classical theorems of Riemann-Roch, Abel, Weierstrass, etc. We also construct theta functions that are very important for a range of applications. ..After that, we turn to modern applications of this theory. First, we build the (important for mathematics and mathematical physics) Kadomtsev-Petviashvili?hierarchy?and use validated results to arrive at important solutions to these differential equations.?We subsequently use the theory of harmonic functions and the theory of differential hierarchies to explicitly construct a conformal?mapping that translates an arbitrary contractible domain into a standard disk
出版日期Textbook 2019
關(guān)鍵詞meromorphic functions; Riemann theorem; harmonic functions; Fuchsian groups; Riemann surfaces; moduli of
版次1
doihttps://doi.org/10.1007/978-3-030-34640-9
isbn_softcover978-3-030-34642-3
isbn_ebook978-3-030-34640-9Series ISSN 2522-0314 Series E-ISSN 2522-0322
issn_series 2522-0314
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:44:52 | 只看該作者
Textbook 2019s sufficient; all other statements and proofs are provided. ..We begin with a brief but fairly complete course on the theory of holomorphic, meromorphic, and harmonic functions. We then present a uniformization theory, and discuss a representation of the moduli space of Riemann surfaces of a fixed t
板凳
發(fā)表于 2025-3-22 01:38:48 | 只看該作者
地板
發(fā)表于 2025-3-22 07:37:47 | 只看該作者
https://doi.org/10.1007/978-3-030-34640-9meromorphic functions; Riemann theorem; harmonic functions; Fuchsian groups; Riemann surfaces; moduli of
5#
發(fā)表于 2025-3-22 10:23:11 | 只看該作者
978-3-030-34642-3Springer Nature Switzerland AG 2019
6#
發(fā)表于 2025-3-22 15:51:03 | 只看該作者
Sergey M. NatanzonUsing basic tools from the first year of university studies, the book leads a reader to the impressive achievements of mathematics of the 21st century.Studying the book, the reader will get acquainted
7#
發(fā)表于 2025-3-22 20:08:02 | 只看該作者
8#
發(fā)表于 2025-3-22 21:32:25 | 只看該作者
,Alizarin 2-β-glucosyltransferase,By a . we mean a connected open subset of the complex plane. The correspondence (., .)???.?=?.?+?. between the real plane . and the complex plane . allows one to regard a complex-valued function of a complex variable as .In what follows, we will often switch between these interpretations.
9#
發(fā)表于 2025-3-23 05:16:23 | 只看該作者
,Isovitexin β-glucosyltransferase,Now we turn to studying the properties of functions holomorphic in non-simply connected domains.
10#
發(fā)表于 2025-3-23 06:58:28 | 只看該作者
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