| Acknowledgments xiii 1. Galois 2. Influence of Lagrange 3. Quadratic equations 4.1700 B.c. to A.D. 1500 5. Solution of cubic 6. Solution ofquartic 7.Impossibility of quintic 8. Newton 9. Symmetric polynomials in roots 10. Fundamental theorem on symmetric polynomials 11. Proof 12.Newton's theorem 13. DiscriminantsFirst Exercise Set 14. Solution of cubic 15. Lagrange and Vandermonde 16. Lagrangeresolvents 17. Solution of quartic again 18. Attempt at quintic 19.Lagrange's R flexionsSecond Exercise Set 20.Cyclotomic equations …… Answers to exercises List of exercises References Index |
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