The Theory of Equations: With an Introduction to the Theory of Binary Algebraic Forms

Introduction
I. General Properties of Polynomials
II. General Properties of Equations
III. Relations Between the Roots and Coefficients of Equations, with Applications to Symmetric Functions of the Roots
IV. Transformation of Equations
V. Solution of Reciprocal and Binomial Equations
VI. Algebraic Solution of the Cubic and Biqudaratic
VII. Properties of the Derived Functions
VIII. Symmetric Functions of the Roots
IX. Limits of the Roots of Equations
X. Separation of the Roots of Equations
IX. Solution of Numerical Equations
XII. Complex Numbers and the Complex Variable
Notes
XIII. Determinants
XIC. Elimination
XV. Calculation of Symmetric Functions-Seminvariants and Semicovariants
XVI. Covariants and Invariants
XVII. Covariants and Invariants of the Quadratic, Cubic, and Quartic
XVIII. Covariants and Invariants of Combined Forms
XIX. Transformations
XX. Theory of Substitutions and Groups
Notes