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Counting lies at the heart of much mathematics, and Niven's subtitle is How to count without counting. This is the whole art of combinatorics: permutations, combinations, binomial coefficients, the inclusion-exclusion principle, combinatorial probability, partitions of numbers, generating polynomials, the pigeonhole principle, and much more.
This text is an engaging, even addictive, introduction to basic combinatorics. Written in a fun and inviting manner, reader interest is amplified by the authors infectious enthusiasm.
Tom Shulte Source: MAA Online Reviews
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