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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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2006. |
| Serija: | Universitext
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| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 020 | |a 9780387316086 | ||
| 041 | 0 | |a eng | |
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| 084 | |a 11-01. 2000 | ||
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| 084 | |a 13-01. 2000 | ||
| 100 | 1 | |a Lorenz, Falko, |d 1940- | |
| 245 | 1 | 0 | |a Algebra. |n 1, |p Fields and Galois theory |c Falko Lorenz ; with the collaboration of the translator, Silvio Levy. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Description d'après consultation du 1er mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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, diophantine dimensions 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 | ||
| 650 | |a Algèbre | ||
| 650 | |a Théorie des champs (physique) | ||
| 650 | |a Galois, Théorie de | ||
| 700 | 1 | |a Levy, Silvio, |d 1959- |4 trl | |
| 776 | 0 | |0 128497661 |t Algebra |h 1 |i Fields and Galois theory |f Falko Lorenz |d 2006 |p 1 vol. (VI-293 p.) |s Universitext |z 0-387-28930-5 | |
| 776 | 0 | |t Algebra |b Texte imprimé |z 9780387509624 | |
| 776 | 0 | |t Algebra |b Texte imprimé |z 9780387289304 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-XPZ2GNV3-K |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747905517 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/0-387-31608-6 |z Accès Université d'Orléans | |
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| 997 | |0 937915 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||