Galois theory, coverings, and Riemann surfaces by Askold G. Khovanskii ; translated by Vladlen Timorin, Valentina Kiritchenko

Format:

Book

Author/Creator:

Khovanskiĭ, A. G., author.

Contributor:

Timorin, Vladlen, translator.

Kiritchenko, Valentina, translator.

Standardized Title:

Teoriya Galua, Nakrytiya i Rimanovy Poverkhnosti. English

Language:

English

Russian

Subjects (All):

Galois theory.

Physical Description:

1 online resource

Place of Publication:

Berlin Springer 2013

Language Note:

English

System Details:

text file

PDF

Summary:

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

Contents:

Galois Theory Coverings Ramified Coverings and Galois Theory

Notes:

Translated from the Russian

Includes bibliographical references and index

Print version record

Related Work:

Translation of : Khovanskiĭ, A. G. Teoriya Galua, Nakrytiya i Rimanovy Poverkhnosti

Other Format:

Print version Khovanskiĭ, A.G. Teoriya Galua, Nakrytiya i Rimanovy Poverkhnosti. English. Galois theory, coverings, and Riemann surfaces

ISBN:

9783642388415

3642388418

9783642388422

3642388426

9783662519561

3662519569

OCLC:

858939309

Access Restriction:

Restricted for use by site license