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Counting: Solutions Manual (2nd Edition) 2nd Revised edition [Minkštas viršelis]

(Ntu, S'pore), (S'pore Univ Of Technology & Design, S'pore)
  • Formatas: Paperback / softback, 224 pages
  • Išleidimo metai: 06-May-2013
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9814401943
  • ISBN-13: 9789814401944
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 224 pages
  • Išleidimo metai: 06-May-2013
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9814401943
  • ISBN-13: 9789814401944
Kitos knygos pagal šią temą:
This book is the essential companion to Counting (2nd Edition) (World Scientific, 2012), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in the book Counting (2nd Edition). Alternative solutions are often provided. An introductory section on problem solving as described by Georg Polya will be useful in helping the lay person understand how mathematicians think and solve problems.
Preface v
Notation and Abbreviation ix
Polya's Model of Problem Solving 1(6)
1 The Addition Principle
7(8)
2 The Multiplication Principle
15(8)
3 Subsets and Arrangements
23(6)
4 Applications
29(12)
5 The Bijection Principle
41(10)
6 Distribution of Balls into Boxes
51(4)
7 More Applications of (BP)
55(10)
8 Distribution of Distinct Objects into Distinct Boxes
65(4)
9 Other Variations of the Distribution Problem
69(6)
10 The Binomial Expansion
75(6)
11 Some Useful Identities
81(4)
12 Pascal's Triangle
85(6)
13 The Principle of Inclusion and Exclusion
91(6)
14 General Statement of the Principle of Inclusion and Exclusion
97(10)
15 The Pigeonhole Principle
107(8)
16 Recurrence Relations
115(8)
17 The Stirling Numbers of the First Kind
123(6)
18 The Stirling Numbers of the Second Kind
129(4)
19 The Catalan Numbers
133(8)
20 Solutions to Miscellaneous Problems
141(72)
Recommended Books for Further Reading 213