Galois Theory, Coverings, and Riemann Surfaces

di Askold Khovanskii (Autore)

Valentina Kiritchenko (Traduttore)

Vladlen Timorin (Traduttore)

Springer, 2015

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.

• Autore: Askold Khovanskii
• Traduttore: Valentina Kiritchenko, Vladlen Timorin
• Anno edizione: 2015
• Editore: Springer
• Formato: EPUB2 con Adobe DRM
• Compatibilità: Tutti i dispositivi (eccetto Kindle)
• Layout: Reflowable
• EAN: 9783642388415

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