Ⅰ．Solution of the General Quadratic,Cubic,and Quartic Equations．Lagrange＇s Theorem on the lrrationalities Entering the Roots 1
Exercises 4
Ⅱ．Substitutions;Rational Functions 10
Exercises 14
Ⅲ．Substitution Groups;Rational Functions 15
Exercises 20
Ⅳ．The General Equation from the Group Staudpoint 27
Exercises 41
Ⅴ．Algebraic Introduction to Galois＇ Theory 42
Ⅵ．The Group of an Equation 48
Exercises 57
Ⅶ．Solution by means of Resolvent Equations 64
Ⅷ．Regular Cyclic Equations;Abelian Equations 73
Ⅸ．Criterion for Algebraic Solvability 79
Ⅹ．Metacyclic Equations;Galoisian Equations 87
Ⅺ．An Account of More Technical Results 94
APPENDIX 99
Symmetric Functions 99
On the General Equation 101
INDEX 103