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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Édition: | 2nd ed. |
| Collection: | Graduate Texts in Mathematics
158 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
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| 100 | 1 | |a Roman, Steven M., |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Field theory |c Steven Roman. |
| 250 | |a 2nd ed. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 158 |x 2197-5612 | |
| 500 | |a Description d'après consultation du 25 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [327]. Index | ||
| 505 | 1 | |a 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. | |
| 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 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 to gain a certain level of mathematical maturity. For this new edition, the author has rewritten the text based on his experiences teaching from the first edition. There are new exercises, a new chapter on Galois theory from an historical perspective, and additional topics sprinkled throughout the text, including a proof of the Fundamental Theorem of Algebra, a discussion of casus irreducibilis, Berlekamp's algorithm for factoring polynomials over Zp and natural and accessory irrationalities. From the reviews of the first edition: The book is written in a clear and explanatory style...the book is recommended for a graduate course in field theory as well as for independent study. - T. Albu, Mathematical Reviews ...[the author] does an excellent job of stressing the key ideas. This book should not only work well as a textbook for a beginning graduate course in field theory, but also for a student who wishes to take a field theory course as independent study. - J.N.Mordeson, Zentralblatt. | ||
| 650 | |a Théorie des champs (physique) | ||
| 650 | |a Corps algébriques | ||
| 650 | |a Galois, Théorie de | ||
| 650 | |a Polynômes | ||
| 776 | 0 | |0 099258056 |t Field theory |f Steven Roman |e 2nd edition |d 2006 |c New York |n Springer |p 1 vol. (XII-332 p.) |s Graduate texts in mathematics |z 0-387-27677-7 | |
| 776 | 0 | |0 021023972 |t Algorithms and model formulations in mathematical programming |f edited by Stein W. Wallace,... |c Berlin |n Springer-Verlag |d 1989 |p 1 vol. (IX-191 p.) |s NATO ASI series |z 3-540-50842-2 | |
| 776 | 0 | |0 099258056 |t Field theory |f Steven Roman |e 2nd edition |d 2006 |c New York |n Springer |p 1 vol. (XII-332 p.) |s Graduate texts in mathematics |z 0-387-27677-7 | |
| 776 | 0 | |0 099258056 |t Field theory |f Steven Roman |e 2nd edition |d 2006 |c New York |n Springer |p 1 vol. (XII-332 p.) |s Graduate texts in mathematics |z 0-387-27677-7 | |
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