Algebra and Galois Theories [[electronic resource] /] / by Régine Douady, Adrien Douady
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| Autore: |
Douady Régine
|
| Titolo: |
Algebra and Galois Theories [[electronic resource] /] / by Régine Douady, Adrien Douady
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Edizione: | 1st ed. 2020. |
| Descrizione fisica: | 1 online resource (XXIII, 462 p. 33 illus., 6 illus. in color.) |
| Disciplina: | 512.32 |
| Soggetto topico: | Algebra |
| Persona (resp. second.): | DouadyAdrien |
| Note generali: | Includes index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Algebra and Galois Theories |
| ISBN: | 3-030-32796-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996418278503316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |