Combinatory Analysis - Volume I

An Unabridged Printing Of Volume I, To Include: 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 - The Theory Of Separations - Generalization Of Girard's Formula - The Differential Operators Of The Theory Of Separations - A Calculus Of Binomial Coefficients - The Theory Of Three Identities - The Enumeration Of Permutations - The Theory Of Displacements - Other Applications Of The Master Theorem - Lattice Permutations - The Indices Of Permutations - Unipartite Numbers - 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 Chessboard, To Which Is Prefixed A Chapter On Perfect Partitions - Theory Of The Perfect Partitions Of Numbers - Arrangements Upon A Chessboard - The Theory Of The Latin Square - Etc, Etc. - Tables