Principles and Techniques in Combinatori PDF Download Ebook. Chen Chuan-Chong and Koh Khee-Meng offer wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises. It is textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read.
Moreover, this book also discusses sequence creation using generating functions, something that Tucker leaves out. This book has solid introduction to combinatorics, explicitly detailing every step of every proof--something direly missing in most other texts of this type. Most people taking this class have only had a rudimentary sampling of proof techniques and this book helps fill in the missing gaps left in slightly higher-flyers such as Tucker's.
Author assumes you can do that already. His chapter on modeling is light on problems and doesn't explain the examples as clearly as this one does. This book also shows some incredibly creative problem solutions that crafty students have devised (being trainers) that help you think about other implications in things such as Pascal's triangle. It does a great job of improving mathematical thinking.
Contents include: Permutations and Combinations, Binomial Coefficients and Multinomial Coefficients, The Pigeonhole Principle and Ramsey Numbers, The Principle of Inclusion and Exclusion, Generating Functions and Recurrence Relations.
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