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Galois theory

Author: David A Cox
Publisher: Hoboken, N.J. : Wiley, 2004.
Series: Pure and applied mathematics (Interscience)
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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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Document Type: Book
All Authors / Contributors: David A Cox
ISBN: 0471434191 9780471434191
OCLC Number: 1025204924
Description: XX, 559 p. ; 24 cm
Contents: Preface. Notation. PART I: POLYNOMIALS. Chapter 1. Cubic Equations. Chapter 2. Symmetric Polynomials. Chapter 3. Roots of Polynomials. PART II: FIELDS. Chapter 4. Extension Fields. Chapter 5. Normal and Separable Extensions. Chapter 6. The Galois Group. Chapter 7. The Galois Correspondence. PART III: APPLICATIONS. Chapter 8. Solvability by Radicals. Chapter 9. Cyclotomic Extensions. Chapter 10. Geometric Constructions. Chapter 11. Finite Fields. PART IV: FURTHER TOPICS. Chapter 12. Lagrange, Galois, and Kronecker. Chapter 13. Computing Galois Groups. Chapter 14. Solvable Permutation Groups. Chapter 15. The Lemniscate. Appendix A: Abstract Algebra. Appendix B: Hints to Selected Exercises. References. Index.
Series Title: Pure and applied mathematics (Interscience)
Responsibility: David A. Cox.
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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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Content-negotiable representations<\/p>\n