Galois theory / Ian Stewart.
"Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose very well, but mathematics education has changed considerably since 1973This edition brings the presentation in line with more modern approaches. While preserving and extending th...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. :
Chapman & Hall/CRC,
[2004]
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| Edition: | Third edition. |
| Series: | Chapman & Hall/CRC mathematics.
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| Subjects: |
MARC
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| 245 | 1 | 0 | |a Galois theory / |c Ian Stewart. |
| 250 | |a Third edition. | ||
| 264 | 1 | |a Boca Raton, Fla. : |b Chapman & Hall/CRC, |c [2004] | |
| 264 | 4 | |c ©2004 | |
| 300 | |a xxxv, 288 pages : |b illustrations ; |c 24 cm. | ||
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| 490 | 1 | |a Chapman & Hall/CRC mathematics | |
| 504 | |a Includes bibliographical references (pages 279-282) and index. | ||
| 505 | 0 | 0 | |t Preface to the First Edition -- |t Preface to the Second Edition -- |t Preface to the Third Edition -- |t Illustration Acknowledgments -- |t Historical Introduction -- |g 1. |t Classical Algebra -- |g 2. |t The Fundamental Theorem of Algebra -- |g 3. |t Factorization of Polynomials -- |g 4. |t Field Extensions -- |g 5. |t Simple Extensions -- |g 6. |t The Degree of an Extension -- |g 7. |t Ruler-and-Compass Constructions -- |g 8. |t The Idea Behind Galois Theory -- |g 9. |t Normality and Separability -- |g 10. |t Counting Principles -- |g 11. |t Field Automorphisms -- |g 12. |t The Galois Correspondence -- |g 13. |t A Worked Example -- |g 14. |t Solubility and Simplicity -- |g 15. |t Solution by Radicals -- |g 16. |t Abstract Rings and Fields -- |g 17. |t Abstract Field Extensions -- |g 18. |t The General Polynomial -- |g 19. |t Regular Polygons -- |g 20. |t Finite Fields -- |g 21. |t Circle Division -- |g 22. |t Calculating Galois Groups -- |g 23. |t Algebraically Closed Fields -- |g 24. |t Transcendental Numbers -- |t References -- |t Index. |
| 520 | |a "Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose very well, but mathematics education has changed considerably since 1973This edition brings the presentation in line with more modern approaches. While preserving and extending the most popular features of the previous editions, the author reorganized the material to place the concrete before the abstract. He also added more technical history, incorporated several newer proofs, and revived some classical topics. There is simply no more engaging, no more accessible, no more outstanding introduction to the intriguing concepts of abstract algebra than Galois Theory."--Publisher description. | ||
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