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Galois Theory (0471434191) cover image
Galois Theory
ISBN: 978-0-471-43419-1
Hardcover
584 pages
September 2004
US $107.50 Add to Cart

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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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