Complex Analysis in One Variable 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Raghavan Narasimhan 作者

Birkhäuser Boston

譯者

2000-12-21 出版日期

395 頁數

USD 79.95 價格

Hardcover

叢書系列

9780817641641 圖書編碼

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發表於2024-11-29

Complex Analysis in One Variable 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Complex Analysis in One Variable 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Complex Analysis in One Variable 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Complex Analysis in One Variable 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Complex Analysis in One Variable 在線電子書圖書描述

This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied. Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions.

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