Bøger af Khee-Meng Koh

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.

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.

NUS represents National University of Singapore. NTU represents National Technological University, Singapore.

A textbook suitable for undergraduate courses, the materials in this book are presented very explicitly so that students will find it easy to read and also find a wide range of examples. A number of combinatorial problems taken from mathematical competitions and exercises are also included.