Galois Theory, Coverings, and Riemann Surfaces (Hardcover, 2013 ed.)

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to the questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and 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 topological Galois theory developed by the author. All results are presented in the same elementary and self-contained manner as classical Galois theory. Due to this feature, the book will be useful and interesting to readers with very different background in mathematics, from undergraduate students to researchers.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	November 2013
First published:	2013
Authors:	Askold Khovanskii
Translators:	Vladlen Timorin • Valentina Kiritchenko
Dimensions:	235 x 155 x 11mm (L x W x T)
Format:	Hardcover
Pages:	81
Edition:	2013 ed.
ISBN-13:	978-3-642-38840-8
Languages:	English
Subtitles:	Russian
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-642-38840-X
Barcode:	9783642388408

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