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Introduction to Combinatorial Analysis
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Introduction to Combinatorial Analysis Paperback - 2002

by John Riordan


From the publisher

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.

Details

  • Title Introduction to Combinatorial Analysis
  • Author John Riordan
  • Binding Paperback
  • Edition Reprint
  • Pages 256
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications, Mineola, New York, U.S.A.
  • Date 2002-12-13
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9780486425368 / 0486425363
  • Weight 0.61 lbs (0.28 kg)
  • Dimensions 8.64 x 5.5 x 0.55 in (21.95 x 13.97 x 1.40 cm)
  • Library of Congress subjects Combinatorial analysis
  • Library of Congress Catalog Number 2002073535
  • Dewey Decimal Code 511.6
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