Galois Theory, Coverings, and Riemann Surfaces
- 種類:
- 電子ブック
- 責任表示:
- by Askold Khovanskii
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
- 著者名:
- ISBN:
- 9783642388415 [3642388418]
- 注記:
- 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
- ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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Springer-Verlag London Limited |
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3
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