MA3D5 Galois theory
نویسنده
چکیده
1 The theory of equations 3 1.1 Primitive question . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Quadratic equations . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 The remainder theorem . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Relation between coefficients and roots . . . . . . . . . . . . . 5 1.5 Complex roots of 1 . . . . . . . . . . . . . . . . . . . . . . . . 7 1.6 Cubic equations . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.7 Quartic equations . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.8 The quintic is insoluble . . . . . . . . . . . . . . . . . . . . . . 11 1.9 Prerequisites and books . . . . . . . . . . . . . . . . . . . . . 13 Exercises to Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . 14
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