A Course in Galois theory /
From an elementary discussion of groups, fields and vector spaces, this introduction to Galois theory progresses to rings, extension fields, ruler-and-compass constructions, automorphisms and Galois correspondence. Publisher's note
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1986
Cambridge [Cambridgeshire] ; New York : 1986 |
| Subjects: |
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| 100 | 1 | |a Garling, D. J. H |0 http://viaf.org/viaf/sourceID/LC|n85306701 | |
| 100 | 1 | |a Garling, D. J. H |1 http://viaf.org/viaf/49253583 | |
| 100 | 1 | |a Garling, D. J. H | |
| 245 | 1 | 2 | |a A Course in Galois theory / |c D.J.H. Garling |
| 246 | 3 | |a Galois theory | |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1986 | ||
| 260 | 0 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1986 | |
| 300 | |a viii, 167 p. : |b ill. ; |c 24 cm | ||
| 300 | |a viii, 167 p. ; |c 24cm | ||
| 300 | |a viii, 167 pages : |b illustrations ; |c 24 cm | ||
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| 500 | |a Includes index | ||
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | 0 | |a Machine derived contents note: Preface -- Part I. Algebraic Preliminaries: 1. Groups, fields and vector spaces -- 2. The axiom of choice, and Zorn's lemma -- 3. Rings -- Part II. The Theory of Fields, and Galois Theory: 4. Field extensions -- 5. Tests for irreducibility -- 6. Ruler-and-compass constructions -- 7. Splitting fields -- 8. The algebraic closure of a field -- 9. Normal extensions -- 10. Separability -- 11. Automorphisms and fixed fields -- 12. Finite fields -- 13. The theorem of the primative element -- 14. Cubics and quartics -- 15. Roots of unity -- 16. Cyclic extensions -- 17. Solution by radicals -- 18. Transcendental elements and algebraic independence -- 19. Some further topics -- 20. The calculation of Galois groups -- Index |
| 520 | |a From an elementary discussion of groups, fields and vector spaces, this introduction to Galois theory progresses to rings, extension fields, ruler-and-compass constructions, automorphisms and Galois correspondence. Publisher's note | ||
| 596 | |a 4 | ||
| 650 | 0 | |a Galois theory | |
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| 653 | |a Galois theory | ||
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