Field theory
This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so much for the material it contains but in order...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| الطبعة: | 2nd ed. |
| سلاسل: | Graduate Texts in Mathematics
158 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 25 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: | • Field theory, Steven Roman, 2nd edition, 2006, New York, Springer, 1 vol. (XII-332 p.), Graduate texts in mathematics, 0-387-27677-7 • Algorithms and model formulations in mathematical programming, edited by Stein W. Wallace,..., Berlin, Springer-Verlag, 1989, 1 vol. (IX-191 p.), NATO ASI series, 3-540-50842-2 • Field theory, Steven Roman, 2nd edition, 2006, New York, Springer, 1 vol. (XII-332 p.), Graduate texts in mathematics, 0-387-27677-7 • Field theory, Steven Roman, 2nd edition, 2006, New York, Springer, 1 vol. (XII-332 p.), Graduate texts in mathematics, 0-387-27677-7 |
جدول المحتويات:
- Preliminaries Preliminaries Field Extensions Polynomials Field Extensions Embeddings and Separability Algebraic Independence Galois Theory Galois Theory I: An Historical Perspective Galois Theory II: The Theory Galois Theory III: The Galois Group of a Polynomial A Field Extension as a Vector Space Finite Fields I: Basic Properties Finite Fields II: Additional Properties The Roots of Unity Cyclic Extensions Solvable Extensions The Theory of Binomials Binomials Families of Binomials.