Overview This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textboo…
NUS represents National University of Singapore. NTU represents National Technological University, Singapore.
A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.
1. Permutations and combinations. 1.1. Two basic counting principles -- 1.2. Permutations -- 1.3. Circular permutations -- 1.4. Combinations -- 1.5. The injection and bijection principles -- 1.6. Arrangements and selections with repititions -- 1.7. Distribution problems -- Exerc…