Introduction To The Theory of Algebraic Equations.PDF电子书下载

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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

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