Galois Theory [[electronic resource] /] / by Joseph Rotman
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Rotman Joseph
|
| Titolo: |
Galois Theory [[electronic resource] /] / by Joseph Rotman
|
| Pubblicazione: | New York, NY : , : Springer New York : , : Imprint : Springer, , 1990 |
| Edizione: | 1st ed. 1990. |
| Descrizione fisica: | 1 online resource (XII, 112 p.) |
| Disciplina: | 512/.3 |
| Soggetto topico: | Group theory |
| Group Theory and Generalizations | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Rings -- Homomorphisms and Ideals -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideals and Maximal Ideals -- Finite Fields -- Irreducible Polynomials -- Classical Formulas -- Splitting Fields -- Solvability by Radicals -- The Galois Group -- Primitive Roots of Unity -- Insolvability of the Quintic -- Independence of Characters -- Galois Extensions -- Fundamental Theorem of Galois Theory -- Applications -- Galois’s Great Theorem -- Discriminants -- Galois Groups of Quadratics, Cubics, and Quartics -- Epilogue -- Appendix 1. Group Theory Dictionary -- Appendix 2. Group Theory Used in the Text -- Appendix 3. Ruler-Compass Constructions -- Appendix 4. Old-fashioned Galois Theory -- References. |
| Sommario/riassunto: | This text offers a clear, efficient exposition of Galois Theory with exercises and complete proofs. Topics include: Cardano's formulas; the Fundamental Theorem; Galois' Great Theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois group of cubics and quartics. There are appendices on group theory and on ruler-compass constructions. Developed on the basis of a second-semester graduate algebra course, following a course on group theory, this book will provide a concise introduction to Galois Theory suitable for graduate students, either as a text for a course or for study outside the classroom. |
| Titolo autorizzato: | Galois theory |
| ISBN: | 1-4684-0367-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480416003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Universitext, . 0172-5939