Combinatory analysis/ Percy A. Macmahon.

Section I. Symmetric Functions: Elementary theory Connexion with the theory of distributions The distribution into parcels and groups in general The operators of the theory of distributions Applications of the operators $d$ and $D$;

Section II. Generalization of the Theory of Section I: The theory of separations Generalization of Waring's formula The differential operators of the theory of separations A calculus of binomial coefficients The theory of three identities;

Section III. Permutations: The enumeration of permutations The theory of permutations The theory of displacements Other applications of the master theorem Lattice permutations The indices of permutations;

Section IV. Theory of the Compositions of Numbers: Unipartite numbers Multipartite numbers The graphical representation of the compositions of tripartite and multipartite numbers Simon Newcomb's problem Generalization of the foregoing theory;

Section V. Distributions Upon a Chess Board, to Which is Prefixed a Chapter on Perfect Partitions: Theory of the perfect partitions of numbers Arrangements upon a chess board The theory of the latin square; Section

VI. The Enumeration of the Partitions of Multipartite Numbers: Bipartite numbers Tripartite and other multipartite numbers Tables.