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Algebra and Galois Theories

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Algebra and Galois Theories/ by Régine Douady, Adrien Douady.
Author:	Douady, Régine.
other author:	Douady, Adrien.
Description:	XXIII, 462 p. 33 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebra. -
Online resource:	https://doi.org/10.1007/978-3-030-32796-5
ISBN:	9783030327965

Algebra and Galois Theories
Douady, Régine.

Algebra and Galois Theories[electronic resource] /by Régine Douady, Adrien Douady. - 1st ed. 2020. - XXIII, 462 p. 33 illus., 6 illus. in color.online resource.

Introduction -- Chapter 1. Zorn’s Lemma -- Chapter 2. Categories and Functors -- Chapter 3. Linear Algebra -- Chapter 4. Coverings -- Chapter 5. Galois Theory -- Chapter 6. Riemann Surfaces -- Chapter 7. Dessins d’Enfants -- Bibliography -- Index of Notation.

Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

ISBN: 9783030327965

Standard No.: 10.1007/978-3-030-32796-5doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA150-272

Dewey Class. No.: 512

Algebra and Galois Theories
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505 0 $a Introduction -- Chapter 1. Zorn’s Lemma -- Chapter 2. Categories and Functors -- Chapter 3. Linear Algebra -- Chapter 4. Coverings -- Chapter 5. Galois Theory -- Chapter 6. Riemann Surfaces -- Chapter 7. Dessins d’Enfants -- Bibliography -- Index of Notation.
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