Algebra and Galois Theories (PDF)
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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.
Regine Douady, born in 1934, after a Ph.d. in the didactics of mathematics, she became a lecturer at the University Paris Denis-Diderot, as well as the head of the IREM (Institut de Recherche sur l' Enseignement des Mathematiques). She was made a chevalier dans l'ordre des palmes academiques. Now retired, she has ceaselessly endeavoured to introduce into teaching the necessity to address concepts from different standpoints-the motivating idea behind this book.
- Autoren: Régine Douady , Adrien Douady
- 2020, 1st ed. 2020, 462 Seiten, Englisch
- Übersetzer: Urmie Ray
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3030327965
- ISBN-13: 9783030327965
- Erscheinungsdatum: 13.07.2020
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- Grösse: 6.54 MB
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