Algebra. 2, Fields with structure, algebras and advanced topics
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extens...
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| Main Author: | |
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| Other Authors: | |
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2008. |
| Series: | Universitext
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| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'imprtession du document génère 343 p. Traduit de l'allemand Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebra, 2, Fields with structure, algebras and advanced topics, Falko Lorenz, New York (N. Y.), Springer, 2008, 1 vol. (IX-336 p.), Universitext, 978-0-387-72487-4 • Algebra, Texte imprimé, 9780387519432 • Algebra, Texte imprimé, 9780387724874 |
| Summary: | The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry. The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version: This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews |
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| Item Description: | L'imprtession du document génère 343 p. Traduit de l'allemand Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliography: | Index |
| ISBN: | 9780387724881 |
| ISSN: | 2191-6675 |
| Access: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |