Algebra and Galois theories
Author(s)
Bibliographic Information
Algebra and Galois theories
Springer, c2020
- : [pbk.]
- Other Title
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Algèbre et théories galoisiennes
Available at 1 libraries
Note
"Tlanslation from the French language edition: Algèbre et théories galoisiennes by Régine and Adrien Douady, published by Cassini 2004."--T.p. verso
Includes bibliographical references and indexes
Description and Table of Contents
Description
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.
Table of Contents
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
by "Nielsen BookData"