Combinatorics (Wiley Series in Discrete Mathematics and by Russell Merris

By Russell Merris

A mathematical gem–freshly wiped clean and polished

This e-book is meant for use because the textual content for a primary direction in combinatorics. the textual content has been formed by way of objectives, specifically, to make complicated arithmetic available to scholars with quite a lot of skills, pursuits, and motivations; and to create a pedagogical software, helpful to the wide spectrum of teachers who deliver various views and expectancies to any such course.

Features retained from the 1st edition:

  • Lively and fascinating writing style
  • Timely and applicable examples
  • Numerous well-chosen exercises
  • Flexible modular format
  • Optional sections and appendices

Highlights of moment variation enhancements:

  • Smoothed and polished exposition, with a sharpened specialize in key ideas
  • Expanded dialogue of linear codes
  • New not obligatory part on algorithms
  • Greatly increased tricks and solutions section
  • Many new workouts and examples

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Counting by Khee Meng Koh,Eng Guan Tay


Contents:

  • The Addition Principle
  • The Multiplication Principle
  • Subsets and Arrangements
  • Applications
  • The Bijection Principle
  • Distribution of Balls into Boxes
  • More functions of (BP)
  • Distribution of certain Balls into exact Boxes
  • Other diversifications of the Distribution Problem
  • The Binomial Expansion
  • Some precious Identities
  • Pascal's Triangle
  • Miscellaneous Problems

Readership: academics and scholars in high/secondary colleges and schools, and people attracted to combinatorics and graph theory.