Algebra and Galois theories

著者
書誌事項

Algebra and Galois theories

Régine Douady, Adrien Douady

Springer, c2020

  • : [pbk.]

タイトル別名

Algèbre et théories galoisiennes

この図書・雑誌をさがす
注記

"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

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報
  • NII書誌ID(NCID)
    BD00495984
  • ISBN
    • 9783030327989
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    fre
  • 出版地
    Cham
  • ページ数/冊数
    xxiii, 462 p.
  • 大きさ
    24 cm
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