Galois Theory, Coverings, and Riemann Surfaces, Hardback Book

Galois Theory, Coverings, and Riemann Surfaces Hardback

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.

Information

  • Format: Hardback
  • Pages: 81 pages, VIII, 81 p.
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Publication Date:
  • Category: Algebra
  • ISBN: 9783642388408

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