Galois Theory, Coverings, and Riemann Surfaces

Galois Theory, Coverings, and Riemann Surfaces
Author :
Publisher : Springer Science & Business Media
Total Pages : 86
Release :
ISBN-10 : 9783642388415
ISBN-13 : 3642388418
Rating : 4/5 (15 Downloads)

Book Synopsis Galois Theory, Coverings, and Riemann Surfaces by : Askold Khovanskii

Download or read book Galois Theory, Coverings, and Riemann Surfaces written by Askold Khovanskii and published by Springer Science & Business Media. This book was released on 2013-09-11 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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