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Abstract Algebra
"Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The...
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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Abstract Algebra / Pierre Antoine Grillet. |
| Édition : | 2nd ed. 2007. |
| Publié : |
New York, NY :
Springer New York
, [20..] Cham : Springer Nature |
| Collection : | Graduate texts in mathematics (Internet) ; 42 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Reproduction de : | Numérisation de l'édition de [New York] : Springer , cop. 2007 |
| Contenu : | Groups. Structure of Groups. Rings. Field Extensions. Galois Theory. Fields with Orders or Valuations. Commutative Rings. Modules. Semisimple Rings and Modules. Projectives and Injectives. Constructions. Ext and Tor. Algebras. Lattices. Universal Algebra. Categories |
| Sujets : | |
| Documents associés : | Autre format:
Abstract algebra Autre format: Abstract Algebra Autre format: The numerical solution of differential-algebraic systems by Runge-Kutta methods Autre format: Abstract algebra |
| Résumé : | "Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt |
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| ISBN : | 978-0-387-71568-1 |
| DOI : | 10.1007/978-0-387-71568-1 |