Principles and Techniques in Combinatorics

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.

• Permutations and Combinations
• Binomial Coefficients and Multinomial Coefficients
• The Pigeonhole Principle and Ramsey Numbers
• The Principle of Inclusion and Exclusion
• Generating Functions
• Recurrence Relations