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Algebra and Galois theories

Douady, Adrien.

Algebra and Galois theories

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebra and Galois theoriesby Regine Douady, Adrien Douady.
作者:	Douady, Regine.
其他作者:	Douady, Adrien.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xxiii, 462 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Galois theory.
電子資源:	https://doi.org/10.1007/978-3-030-32796-5
ISBN:	9783030327965$q(electronic bk.)

Algebra and Galois theories
Douady, Regine.

Algebra and Galois theories[electronic resource] /by Regine Douady, Adrien Douady. - Cham :Springer International Publishing :2020. - xxiii, 462 p. :ill., digital ;24 cm.

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 coatings that algebraists use a geometric language to speak of body extensions, while topologists speak of "Galois coatings". This book endeavors to develop these theories in a parallel way, starting with that of coatings, 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 the Galois theory the geometric intuition that one can have in the context of the coatings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

ISBN: 9783030327965$q(electronic bk.)

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

190982
Galois theory.

LC Class. No.: QA214 / .D683 2020

Dewey Class. No.: 512.32

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.
520 $a Galois theory has such close analogies with the theory of coatings that algebraists use a geometric language to speak of body extensions, while topologists speak of "Galois coatings". This book endeavors to develop these theories in a parallel way, starting with that of coatings, 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 the Galois theory the geometric intuition that one can have in the context of the coatings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.
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650 0 $a Algebra. $3 188312
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