Combinatory Analysis

This volume offers an account of the theorems employed in combinatory analysis, showing their connections and uniting them as parts of a general doctrine. The first section shows the involvement of the general theory in the algebra of monomial symmetric functions. The following section extends the simple theory of symmetric functions, enabling the intuitive derivation of theorems of algebraical reciprocity, and the third section is devoted to certain points in the theory of permutations. The final sections deal with the perfect partitions of numbers as a necessary preliminary to the discussion of arrangements on a chessboard, and with the direct application of the theory of distributions to the enumeration of the partitions of multipartite numbers. 1915-16 and 1920 eds.MacMahon, Percy A. is the author of 'Combinatory Analysis', published 2004 under ISBN 9780486495866 and ISBN 0486495868.