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 |