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Titlebook: Galois Theory, Coverings, and Riemann Surfaces; Askold Khovanskii Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 Galois group.monodr

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樓主
發(fā)表于 2025-3-21 18:19:12 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Galois Theory, Coverings, and Riemann Surfaces
編輯Askold Khovanskii
視頻videohttp://file.papertrans.cn/381/380430/380430.mp4
概述Classical Galois theory and classification of coverings are explained from scratch.Gentle introduction to the cutting edge of research.Written by one of the founders of topological Galois theory.Inclu
圖書封面Titlebook: Galois Theory, Coverings, and Riemann Surfaces;  Askold Khovanskii Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 Galois group.monodr
描述.The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric description of finite algebraic extensions of the field of meromorphic functions on a Riemann surface and provides an introduction to the topological Galois theory developed by the author. .All results are presented in the same elementary and self-contained manner as classical Galois theory, making this book both useful and interesting to readers with a variety of backgrounds in mathematics, from advanced undergraduate students to researchers..
出版日期Textbook 2013
關(guān)鍵詞Galois group; monodromy group; solvability by radicals
版次1
doihttps://doi.org/10.1007/978-3-642-38841-5
isbn_softcover978-3-662-51956-1
isbn_ebook978-3-642-38841-5
copyrightSpringer-Verlag Berlin Heidelberg 2013
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沙發(fā)
發(fā)表于 2025-3-21 21:39:52 | 只看該作者
板凳
發(fā)表于 2025-3-22 01:14:04 | 只看該作者
en by one of the founders of topological Galois theory.Inclu.The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising an
地板
發(fā)表于 2025-3-22 07:13:32 | 只看該作者
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發(fā)表于 2025-3-22 18:40:48 | 只看該作者
Coverings,he second chapter. We consider several classifications of coverings closely related to each other. At the same time, we stress a formal analogy between the results thus obtained and the fundamental theorem of Galois theory.
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發(fā)表于 2025-3-22 22:39:07 | 只看該作者
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發(fā)表于 2025-3-23 04:50:49 | 只看該作者
https://doi.org/10.1007/978-3-642-57544-0the geometry of ramified coverings together with Riemann’s existence theorem allows one to give a transparent description of algebraic extensions of the field of meromorphic functions over a Riemann surface.
10#
發(fā)表于 2025-3-23 09:03:13 | 只看該作者
Ramified Coverings and Galois Theory,the geometry of ramified coverings together with Riemann’s existence theorem allows one to give a transparent description of algebraic extensions of the field of meromorphic functions over a Riemann surface.
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