03046nam 22005175 450 991048041600332120200704112822.01-4684-0367-210.1007/978-1-4684-0367-1(CKB)3400000000097389(SSID)ssj0000806401(PQKBManifestationID)11498250(PQKBTitleCode)TC0000806401(PQKBWorkID)10748768(PQKB)10070274(DE-He213)978-1-4684-0367-1(MiAaPQ)EBC3082868(PPN)237999803(EXLCZ)99340000000009738920121227d1990 u| 0engurnn|008mamaatxtccrGalois Theory[electronic resource] /by Joseph Rotman1st ed. 1990.New York, NY :Springer New York :Imprint: Springer,1990.1 online resource (XII, 112 p.) Universitext,0172-5939Bibliographic Level Mode of Issuance: Monograph0-387-97305-2 Includes bibliographical references and index.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.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.Universitext,0172-5939Group theoryGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Group theory.Group Theory and Generalizations.512/.3Rotman Josephauthttp://id.loc.gov/vocabulary/relators/aut350470BOOK9910480416003321Galois theory374562UNINA01076cam0 22002653 450 SON000576920250305103659.020010307d1990 |||||ita|0103 baitaIT<<La >>basilica di S.Maria degli Angeli[V.] 3.: documentiRicerche bibliografiche, spogli archivistici e appunti di lavoro di padre Egidio Maria Giusto O. F. M. repertorio sistematicoa cura di Francesco Federico ManciniPerugiaElecta Editori Umbri Associati1990246 p.28 cm.Catalogo regionale dei beni culturali dell'UmbriaGIUSTO, Egidio MariaAF00021029070MANCINI, Francesco FedericoAF00021030070ITUNISOB20250305RICAUNISOBUNISOB70097773SON0005769M 102 Monografia moderna SBNM700001010SI97773ACQUISTOAlfanoUNISOBUNISOB20160916101022.020160916101044.0AlfanoBasilica di S.Maria degli Angeli4315400UNISOB