 Galois Theory
ISBN: 978-0-471-43419-1
Hardcover
584 pages
September 2004
US $95.50
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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.
