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Catalogue Information
Field name	Details
Dewey Class	512
Title	Algebra and Galois Theories ([EBook]) / by Régine Douady, Adrien Douady.
Author	Douady, Régine
Added Personal Name	Douady, Adrien
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	XXIII, 462 p. 33 illus., 6 illus. in color. : online resource.
ISBN	9783030327965
Summary Note	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.:
Contents note	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.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-32796-5
Links to Related Works	Subject References: Algebra . Authors: author . Douady, Adrien . Douady, Régine . Corporate Authors: SpringerLink (Online service) . Classification: 512 .

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Algebra and Galois Theories

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