数え上げ（解法・第２版） Counting: Solutions Manual (2nd Edition) （2ND）

Koh, Khee-meng/ Tay, Eng Guan

World Scientific Publishing Co Pte Ltd（2013/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 224 p.
• 言語 ENG
• 商品コード 9789814401944
• DDC分類 511.6

Full Description

This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), 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 Counting (2nd Edition). An introductory section on problem solving as described by George Pólya will be useful in helping the lay person understand how mathematicians think and solve problems.

Contents

The Addition Principle; The Multiplication Principle; Subsets and Arrangements; Applications; The Bijection Principle; Distribution of Balls into Boxes; More Applications of (BP); Distribution of Distinct Objects into Distinct Boxes; Other Variations of the Distribution Problem; The Binomial Expansion; Some Useful Identities; Pascal's Triangle; The Principle of Inclusion and Exclusion; General Statement of the Principle of Inclusion and Exclusion; The Pigeonhole Principle; Recurrence Relations; The Stirling Numbers of the First Kind; The Stirling Numbers of the Second Kind; The Catalan Numbers; Solutions to Miscellaneous Problems.