I. Introduction to Algebraic Invariants
II. Further Theory of Covariants of Binary Forms
III. Matrices, Bilinear Forms, Linear Equations
IV. Quadratic and Hermitian Forms, Symmetric and Hermitian Bilinear Forms
V. Theory of Linear Transformations, Invariant Factors and Elementary Divisors
VI. Pairs of Bilinear, Quadratic, and Hermitian Forms
VII. First Principles of Groups of Substitutions
VIII. Fields, Reducible and Irreducible Functions
IX. Group of an Equation for a Given Field
X. Equations Solvable by Radicals
XI. Constructions with Ruler and Compasses
XII. Reduction of Equations to Normal Forms
XIII. Groups of the Regular Solids; Quintic Equations
XIV. Representations of a Finite Group as a Linear Group; Group Characters
Indexes