(DOWNLOAD) "Galois Theory, Coverings, and Riemann Surfaces" by Askold Khovanskii # Book PDF Kindle ePub Free
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.