| 书目名称 | Galois Theory, Coverings, and Riemann Surfaces | | 编辑 | Askold Khovanskii | | 视频video | | | 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 | | 图书封面 |  | | 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 | | 关键词 | Galois group; monodromy group; solvability by radicals | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-38841-5 | | isbn_softcover | 978-3-662-51956-1 | | isbn_ebook | 978-3-642-38841-5 | | copyright | Springer-Verlag Berlin Heidelberg 2013 |
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发表于 2025-3-21 18:19:12
