ENGLISH

Galois Theory, Coverings, and Riemann Surfaces

By Askold Khovanskii (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
ISBN
978-3-642-38840-8, 978-3-642-38841-5
DOI
10.1007/978-3-642-38841-5
Language
english
Format
PDF
Filesize
715 kB (731903 bytes)
Edition
1
Pages
81\86
Orientation
yes
Scanned
yes
Time added
2013-09-13 16:38:02
Field Theory and Polynomials; Group Theory and Gen

Description

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.

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