Description

Book Synopsis
A solutions manual that accompanies Combinatorial Reasoning: An Introduction to the Art of Counting. It introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout.

Trade Review
"The text is clearly written and contains a large number of worked examples. The authors typically work out specific small cases first before presenting the derivation of a general, but still fairly concrete, result. Each chapter also contains numerous exercises of varied difficulty." (The Mathematical Gazette 2016)

Table of Contents

Preface vii

Part I The Basics of Enumerative Combinatorics

1 Initial EnCOUNTers with Combinatorial Reasoning 3

2 Selections, Arrangements, and Distributions 23

3 Binomial Series and Generating Functions 51

4 Alternating Sums, Inclusion-Exclusion Principle, Rook Polynomials, and Fibonacci Nim 77

5 Recurrence Relations 95

6 Special Numbers 129

Part II Two Additional Topics in Enumeration

7 Linear Spaces and Recurrence Sequences 161

8 Counting with Symmetries 175

Solutions Manual to accompany Combinatorial Reasoning An Introduction to the Art of Counting

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    A Paperback by Duane DeTemple, William Webb

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      View other formats and editions of Solutions Manual to accompany Combinatorial Reasoning An Introduction to the Art of Counting by Duane DeTemple

      Publisher: Wiley-Blackwell
      Publication Date: 24/10/2014
      ISBN13: 9781118830789, 978-1118830789
      ISBN10:

      Description

      Book Synopsis
      A solutions manual that accompanies Combinatorial Reasoning: An Introduction to the Art of Counting. It introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout.

      Trade Review
      "The text is clearly written and contains a large number of worked examples. The authors typically work out specific small cases first before presenting the derivation of a general, but still fairly concrete, result. Each chapter also contains numerous exercises of varied difficulty." (The Mathematical Gazette 2016)

      Table of Contents

      Preface vii

      Part I The Basics of Enumerative Combinatorics

      1 Initial EnCOUNTers with Combinatorial Reasoning 3

      2 Selections, Arrangements, and Distributions 23

      3 Binomial Series and Generating Functions 51

      4 Alternating Sums, Inclusion-Exclusion Principle, Rook Polynomials, and Fibonacci Nim 77

      5 Recurrence Relations 95

      6 Special Numbers 129

      Part II Two Additional Topics in Enumeration

      7 Linear Spaces and Recurrence Sequences 161

      8 Counting with Symmetries 175

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