Sabtu, 07 November 2020
Galois Theory, Coverings, and Riemann Surfaces (9783662519561)
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.
Product details
- Paperback | 81 pages
- 155 x 235 x 5.08mm | 1,591g
- 23 Aug 2016
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Berlin, Germany
- English
- Softcover reprint of the original 1st ed. 2013
- VIII, 81 p.
- 3662519569
- 9783662519561
- 2,496,309
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