Table of contents for Galois theory / David A. Cox.


Bibliographic record and links to related information available from the Library of Congress catalog


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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. 
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Library of Congress subject headings for this publication: Galois theory