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作者 Douady, Regine, author
書名 Algebre et theories galoisiennes. English
Algebra and Galois theories / by Regine Douady, Adrien Douady
出版項 Cham : Springer International Publishing : Imprint: Springer, 2020
國際標準書號 9783030327965 (electronic bk.)
9783030327958 (paper)
國際標準號碼 10.1007/978-3-030-32796-5 doi
book jacket
說明 1 online resource (xxiii, 462 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
附註 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
Host Item Springer Nature eBook
主題 Galois theory
Alt Author Douady, Adrien, author
SpringerLink (Online service)
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