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

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

Duane DeTemple, William Webb

ISBN: 978-1-118-83082-6 August 2014 194 Pages

Description

This is a solutions manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting

Written by well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout. The authors' approach is very reader-friendly and avoids the "scholarly tone" found in many books on this topic.

 

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

"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)