[Download] "Galois Theory, Coverings, and Riemann Surfaces" by Askold Khovanskii # Book PDF Kindle ePub Free

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eBook details

• Title: Galois Theory, Coverings, and Riemann Surfaces
• Author : Askold Khovanskii
• Release Date : January 11, 2013
• Genre: Mathematics,Books,Science & Nature,
• Pages : * pages
• Size : 1325 KB

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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