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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. _