Galois theory / by Ian Nicholas Stewart.

Format:

Book

Author/Creator:

Stewart, Ian, 1945- author.

Language:

English

Subjects (All):

Galois theory.

Physical Description:

1 online resource (338 p.) : illustrations

Edition:

4th ed.

Place of Publication:

Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2015.

Language Note:

English

System Details:

text file

Summary:

Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fourth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students.

Contents:

Front Cover; Contents; Acknowledgements; Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Preface to the Fourth Edition; Historical Introduction; 1. Classical Algebra; 2. The Fundamental Theorem of Algebra; 3. Factorisation of Polynomials; 4. Field Extensions; 5. Simple Extensions; 6. The Degree of an Extension; 7. Ruler-and-Compass Constructions; 8. The Idea Behind Galois Theory; 9. Normality and Separability; 10. Counting Principles; 11. Field Automorphisms; 12. The Galois Correspondence; 13. A Worked Example; 14. Solubility and Simplicity

15. Solution by Radicals16. Abstract Rings and Fields; 17. Abstract Field Extensions; 18. The General Polynomial Equation; 19. Finite Fields; 20. Regular Polygons; 21. Circle Division; 22. Calculating Galois Groups; 23. Algebraically Closed Fields; 24. Transcendental Numbers; 25. What Did Galois Do or Know?; References

Notes:

"A Chapman & Hall book."

Previous edition, 2004

Includes bibliographical references (pages 309-314) and index

Description based on print version record

ISBN:

9780429172250

0429172257

9781482245837

1482245833

OCLC:

907663196