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Galois theory

Author: David A Cox
Publisher: Hoboken, N.J. : Wiley-Interscience, ©2004.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"Galois Theory covers classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields. The book also delves into more novel topics, including Abel's theory of Abelian equations, the problem of expressing real roots by real radicals (the casus irreducibilis), and the Galois theory of origami." "With Mathematical and Historical Notes that clarify the ideas and their  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Cox, David A.
Galois theory.
Hoboken, N.J. : Wiley-Interscience, ©2004
(DLC) 2004045640
(OCoLC)54753018
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David A Cox
ISBN: 9781118031339 1118031334 9781118033081 1118033086 0471434191 9780471434191
OCLC Number: 779166143
Description: 1 online resource (xx, 559 pages) : illustrations
Contents: Ch. 1. Cubic equations --
Ch. 2. Symmetric polynomials --
Ch. 3. Roots of polynomials --
Ch. 4. Extension fields --
Ch. 5. Normal and separable extensions --
Ch. 6. The Galois group --
Ch. 7. The Galois correspondence --
Ch. 8. Solvability by radicals --
Ch. 9. Cyclotomic extensions --
Ch. 10. Geometric constructions --
Ch. 11. Finite fields --
Ch. 12. Lagrange, Galois, and Kronecker --
Ch. 13. Computing Galois groups --
Ch. 14. Solvable permutation groups --
Ch. 15. The lemniscate --
App. A. Abstract algebra.
Responsibility: David A. Cox.
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Abstract:

Galois Theory is the algebraic study of groups that can be associated with polynomial equations. This book covers the basic material of Galois theory and discusses many related topics, such as  Read more...

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"This book provides a very detailed and comprehensive presentation of the theory and applications of Galois theory." ("Mathematical Reviews", Issue 2006a)"Happily, Cox's book reads more like a Read more...

 
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