Download e-book for iPad: Counting by Khee Meng Koh,Eng Guan Tay

By Khee Meng Koh,Eng Guan Tay

This booklet in its moment version is an invaluable, beautiful creation to uncomplicated counting innovations for top secondary to undergraduate scholars, in addition to academics. more youthful scholars and lay those that enjoy arithmetic, let alone avid puzzle solvers, also will locate the publication fascinating. a number of the difficulties and functions listed below are strong for increase skillability in counting. also they are helpful for honing uncomplicated abilities and strategies as a rule challenge fixing. some of the difficulties stay away from regimen and the diligent reader will usually observe multiple means of fixing a specific challenge, that's certainly a big wisdom in challenge fixing. The e-book therefore is helping to offer scholars an early begin to studying problem-solving heuristics and considering skills.

New chapters initially from a supplementary ebook were additional during this variation to considerably raise the assurance of counting ideas. the hot chapters contain the main of Inclusion and Exclusion, the Pigeonhole precept, Recurrence family members, the Stirling Numbers and the Catalan Numbers. a couple of new difficulties have additionally been extra to this edition.


  • The Addition Principle
  • The Multiplication Principle
  • Subsets and Arrangements
  • Applications
  • The Bijection Principle
  • Distribution of Balls into Boxes
  • More purposes of (BP)
  • Distribution of particular items into distinctive Boxes
  • Other adaptations of the Distribution Problem
  • The Binomial Expansion
  • Some beneficial Identities
  • Pascal's Triangle
  • The precept of Inclusion and Exclusion
  • General assertion of the main of Inclusion and Exclusion
  • The Pigeonhole Principle
  • Recurrence Relations
  • The Stirling Numbers of the 1st Kind
  • The Stirling Numbers of the second one Kind
  • The Catalan Numbers
  • Miscellaneous Problems

Readership: lecturers and scholars in high/secondary faculties and faculties, and people attracted to combinatorics and graph theory.

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Counting by Khee Meng Koh,Eng Guan Tay

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