Algebra. 1, Fields and Galois theory

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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Detaylı Bibliyografya
Yazar: Lorenz, Falko, 1940-
Diğer Yazarlar: Levy, Silvio, 1959- (Çevirmen)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edisyon:1st ed. 2006.
Seri Bilgileri:Universitext
Konular:
Online Erişim:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
Not: Description d'après consultation du 1er mars 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Algebra, 1, Fields and Galois theory, Falko Lorenz, 2006, 1 vol. (VI-293 p.), Universitext, 0-387-28930-5
• Algebra, Texte imprimé, 9780387509624
• Algebra, Texte imprimé, 9780387289304
İçindekiler:
  • Constructibility with Ruler and Compass Algebraic Extensions Simple Extensions Fundamentals of Divisibility Prime Factorization in Polynomial Rings. Gauss s Theorem Polynomial Splitting Fields Separable Extensions Galois Extensions Finite Fields, Cyclic Groups and Roots of Unity Group Actions Applications of Galois Theory to Cyclotomic Fields Further Steps into Galois Theory Norm and Trace Binomial Equations Solvability of Equations Integral Ring Extensions with Applications to Galois Theory The Transcendence of ? Fundamentals of Transcendental Field Extensions Hilbert s Nullstellensatz