000 00329nam a2200133Ia 4500
999 _c185932
_d185932
020 _a0486495868
040 _cCUS
082 _a511.6
_bMAC/C
100 _aMacMohan, Percy A.
245 0 _aCombinatory analysis/
_cPercy A. Macmahon.
260 _aNew York:
_bDover,
_c2004.
300 _a340 p. ;
_c23 cm.
505 _aSection 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.
650 _aCombinatorial analysis
650 _aPermutations
650 _aCombinations
650 _aNumber theory
942 _cWB16