CHAPTER Ⅰ SOME ELEMENTARY PROPERTIES OF EQUATIONS,1-26 1
CHAPTER Ⅱ ELEMENTARY TRANSFORMATIONS OF EQUATIONS,27-36 31
CHAPTER Ⅲ LOCATION OF THE ROOTS OF AN EQUATION,37-61 43
CHAPTER Ⅳ APPROXIMATION TO THE ROOTS OF NUMERICAL EQUATIONS,52-58 60
CHAPTER Ⅴ THE ALGEBRAIC SOLUTION OF THE CUBIC AND QUARTIC,59-62 68
CHAPTER Ⅵ SOLUTION OF BINOMIAL EQUATIONS AND RECIPROCAL EQUATIONS,63-67 74
CHAPTER Ⅶ SYMMETRIC FUNCTIONS OF THE ROOTS,68-71 84
CHAPTER Ⅷ ELIMINATION,72-77 92
CHAPTER Ⅸ THE HOMOGRAPHIC AND THE TSCHIRNHAUSEN TRANSFORMATIONS,78-80 99
CHAPTER Ⅹ ON SUBSTITUTIONS,81-93 104
CHAPTER Ⅺ SUBSTITUTION-GROUPS,94-113 112
CHAPTER Ⅻ RESOLVENTS OF LAGRANGE,114-119 129
CHAPTER ⅩⅢ THE GALOIS THEORY OP ALGEBRAIC NUMBERS.REDUCIBILITY,120-139 134
CHAPTER ⅩⅣ NORMAL DOMAINS,140-159 150
CHAPTER ⅩⅤ REDUCTION OF THE GALOIS RESOLVENT BY ADJUNCTION,160-166 174
CHAPTER ⅩⅥ THE SOLUTION OF EQUATIONS VIEWED FROM THE STANDPOINT OF THE GALOIS THEORY,167-169 184
CHAPTER ⅩⅦ CYCLIC EQUATIONS,170-183 187
CHAPTER ⅩⅧ ABELIAN EQUATIONS,184-189 210
CHAPTER ⅩⅨ THE ALGEBRAIC SOLUTION OF EQUATIONS,190-201 219