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This introduction to combinatorial analysis defines the subject as -the number of ways there are of doing some well-defined operation.- Chapter 1 surveys that part of the theory of permutations and combinations that finds a place in books on elementary algebra, which leads to the extended treatment of generation functions in Chapter 2, where an important result is the introduction of a set of multivariable polynomials.
Chapter 3 contains an extended treatment of the principle of inclusion and exclusion which is indispensable to the enumeration of permutations with restricted position...

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.

The Princeton Legacy Library uses the latest print-on-demand technology to again...

Riordan--who had served in the US Army after the Tet Offensive and had left the military behind for a career in international banking--was not the type to take dramatic action, but once the North Vietnamese Army closed in on Saigon in April 1975 and it was clear that Riordan's Vietnamese colleagues and their families...