This book in its Second Edition is a useful, attractive
introduction to basic counting techniques for upper secondary to
undergraduate students, as well as teachers. Younger students and
lay people who appreciate mathematics, not to mention avid puzzle
solvers, will also find the book interesting. The various problems
and applications here are good for building up proficiency in
counting. They are also useful for honing basic skills and
techniques in general problem solving. Many of the problems avoid
routine and the diligent reader will often discover more than one
way of solving a particular problem, which is indeed an important
awareness in problem solving. The book thus helps to give students
an early start to learning problem-solving heuristics and thinking
skills.New chapters originally from a supplementary book have been
added in this edition to substantially increase the coverage of
counting techniques. The new chapters include the Principle of
Inclusion and Exclusion, the Pigeonhole Principle, Recurrence
Relations, the Stirling Numbers and the Catalan Numbers. A number
of new problems have also been added to this edition.
General
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