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Galois Theory /
J***VERKAUFSKATEGORIE*** 0 e 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer US,
1990.
|
| Colección: | Universitext.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn840287449 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 008 | 121227s1990 nyu o 000 0 eng d | ||
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| 100 | 1 | |a Rotman, Joseph. | |
| 245 | 1 | 0 | |a Galois Theory / |c by Joseph Rotman. |
| 260 | |a New York, NY : |b Springer US, |c 1990. | ||
| 300 | |a 1 online resource | ||
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| 490 | 1 | |a Universitext, 0172-5939 | |
| 520 | |a J***VERKAUFSKATEGORIE*** 0 e 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. | ||
| 505 | 0 | |a J***VERKAUFSKATEGORIE*** 0 e Contents: Rings -- Homomorphisms and Ideas -- Quotient Rings -- Polynomial Rings over Fields -- Prime Ideas 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' Great Theorem -- Discriminants -- Galois Group of Quadratics, Cubics, and Quartics -- Epilogue -- Appendices -- References -- Index. | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Group theory. | |
| 650 | 2 | |a Mathematics | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a Teoría de grupos |2 embne | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Mathematics |2 fast | |
| 758 | |i has work: |a Galois theory (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGxVF3r7bv3bWwYDk8bYpq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Printed edition: |z 9780387973050 |
| 830 | 0 | |a Universitext. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3082868 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH29488471 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3082868 | ||
| 994 | |a 92 |b IZTAP | ||