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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.
| Autorius: | Askold Khovanskii |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2013 |
| Knygos puslapių skaičius: | 96 |
| ISBN-10: | 364238840X |
| ISBN-13: | 9783642388408 |
| Formatas: | 241 x 160 x 12 mm. Knyga kietu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Galois Theory, Coverings, and Riemann Surfaces“
