Description

Book Synopsis

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 o



Table of Contents
*FrontMatter, pg. i*Preface, pg. vii*Contents, pg. xi*Errata, pg. xii*CHAPTER 1. Permutations and Combinations, pg. 1*CHAPTER 2. Generating Functions, pg. 19*CHAPTER 3. The Principle of Inclusion and Exclusion, pg. 50*CHAPTER 4. The Cycles of Permutations, pg. 66*CHAPTER 5. Distributions: Occupancy, pg. 90*CHAPTER 6. Partitions, Compositions, Trees, and Networks, pg. 107*CHAPTER 7. Permutations with Restricted Position I, pg. 163*CHAPTER 8. Permutations with Restricted Position II, pg. 195*Index, pg. 239

An Introduction to Combinatorial Analysis

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    A Paperback by J Riordan

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 7/14/2014 12:00:00 AM
      ISBN13: 9780691615882, 978-0691615882
      ISBN10: 0691615888
      Also in:
      Mathematics

      Description

      Book Synopsis

      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 o



      Table of Contents
      *FrontMatter, pg. i*Preface, pg. vii*Contents, pg. xi*Errata, pg. xii*CHAPTER 1. Permutations and Combinations, pg. 1*CHAPTER 2. Generating Functions, pg. 19*CHAPTER 3. The Principle of Inclusion and Exclusion, pg. 50*CHAPTER 4. The Cycles of Permutations, pg. 66*CHAPTER 5. Distributions: Occupancy, pg. 90*CHAPTER 6. Partitions, Compositions, Trees, and Networks, pg. 107*CHAPTER 7. Permutations with Restricted Position I, pg. 163*CHAPTER 8. Permutations with Restricted Position II, pg. 195*Index, pg. 239

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