An Introduction to Combinatorial Analysis

Couverture
Princeton University Press, 14 juil. 2014 - 258 pages

This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory of distributions; partitions, compositions, trees and linear graphs; and the enumeration of restricted permutations.

Originally published in 1980.

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Expressions et termes fréquents

a₁ appear Bell polynomial binomial coefficients binomial moments C₁ cards Chapter coefficients column combinatorial corresponding cycle index cycle indicator cycle of length decks defined denoting a derivative Derive the recurrence different cells distinct distribution Dn(t E. T. Bell elements enumerator by number equation equivalent Example exp r(x expansion exponential generating function factor factorial moments Ferrers graph follows at once given Hence hit polynomial k₁ k₂ labeled Latin rectangles linear graphs lines mathematical induction ménage ménage problem networks Note noticed number of partitions number of permutations number of points objects of specification odd permutations ordinary generating function prime denoting r-combinations r-permutations recurrence relation rencontres rook polynomial rooted trees S₁ sequence Stirling numbers symmetric functions t₁ Theorem things total number Un(t variables verify the table Write

Informations bibliographiques

TitreAn Introduction to Combinatorial Analysis
Princeton Legacy Library
AuteurJohn Riordan
ÉditeurPrinceton University Press, 2014
ISBN1400854334, 9781400854332
Longueur258 pages
  
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