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Symmetric Functions: Elementary theory Connexion with the theory of distributions / Section I：

The distribution into parcels and groups in general

The operators of the theory of distributions Applications of the operators $d$ and $D$

Generalization of the Theory of Section I: The theory of separations / Section II：

Generalization of Waring's formula

The differential operators of the theory of separations

A calculus of binomial coefficients

The theory of three identities

Permutations: The enumeration of permutations / Section III：

The theory of permutations

The theory of displacements Other applications of the master theorem Lattice permutations

The indices of permutations

Theory of the Compositions of Numbers: Unipartite numbers / Section IV：

Multipartite numbers

The graphical representation of the compositions of tripartite and multipartite numbers

Simon Newcomb's problem Generalization of the foregoing theory

Distributions Upon a Chess Board, to Which is Prefixed a Chapter on Perfect / Section V：

Partitions: Theory of the perfect partitions of numbers Arrangements upon a chess board

The theory of the latin square

The Enumeration of the Partitions of Multipartite / Section VI：

Numbers: Bipartite numbers Tripartite and other multipartite numbers Tables

Symmetric Functions: Elementary theory Connexion with the theory of distributions / Section I：

The distribution into parcels and groups in general

The operators of the theory of distributions Applications of the operators $d$ and $D$