A path to combinatorics for undergraduates: counting strategies [1 ed.] 9780817642884, 0817642889
This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of p
288 36 1MB
English Pages 249 Year 2004
Table of contents :
Front cover......Page 1
Title page......Page 3
Date-line......Page 4
Contents......Page 5
Preface......Page 7
Introduction......Page 9
Acknowledgements......Page 15
Abbreviations and Notation......Page 17
1. Addition or Multiplication?......Page 21
2. Combinations......Page 45
3. Properties of Binomial Coefficients......Page 63
4. Bijections......Page 89
5. Recursions......Page 111
6. Inclusion and Exclusion......Page 137
7. Calculating in Two Ways: Fubini's Principle......Page 163
8. Generating Functions......Page 185
9. Review Exercises......Page 215
Glossary......Page 233
Index......Page 237
Further Reading......Page 241
Afterword......Page 247
Back cover......Page 249
Front cover......Page 1
Title page......Page 3
Date-line......Page 4
Contents......Page 5
Preface......Page 7
Introduction......Page 9
Acknowledgements......Page 15
Abbreviations and Notation......Page 17
1. Addition or Multiplication?......Page 21
2. Combinations......Page 45
3. Properties of Binomial Coefficients......Page 63
4. Bijections......Page 89
5. Recursions......Page 111
6. Inclusion and Exclusion......Page 137
7. Calculating in Two Ways: Fubini's Principle......Page 163
8. Generating Functions......Page 185
9. Review Exercises......Page 215
Glossary......Page 233
Index......Page 237
Further Reading......Page 241
Afterword......Page 247
Back cover......Page 249
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