Introduction to Combinatorial Analysis

✍ Scribed by John Riordan

Publisher: Dover Publications
Tongue: English
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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 given in Chapters 7 and 8. Chapter 4 examines the enumeration of permutations in cyclic representation and Chapter 5 surveys the theory of distributions. Chapter 6 considers partitions, compositions, and the enumeration of trees and linear graphs.

Each chapter includes a lengthy problem section, intended to develop the text and to aid the reader. These problems assume a certain amount of...

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