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Introduction to Combinatorial Analysis

List Price: $17.95
SKU:
9780486425368
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  • Product Details

    Author:
    John Riordan
    Format:
    Paperback
    Pages:
    256
    Publisher:
    Dover Publications (December 13, 2002)
    Language:
    English
    ISBN-13:
    9780486425368
    ISBN-10:
    0486425363
    Weight:
    10.8oz
    Dimensions:
    5.5" x 8.5"
    Case Pack:
    32
    Series:
    Dover Books on Mathematics
    File:
    Dover-Dover_11012026_P10825292_onix30_Complete-20261101.xml
    Folder:
    Dover
    As low as:
    $17.05
    List Price:
    $17.95
    Publisher Identifier:
    P-DOVER
    Discount Code:
    D
    Audience:
    College/higher education
    Pub Discount:
    65
    Imprint:
    Dover Publications
  • Overview

    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 mathematical maturity. Equations, theorems, sections, examples, and problems are numbered consecutively in each chapter and are referred to by these numbers in other chapters.