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Mathematics of Choice: How to Count Without Counting
Mathematics of Choice How to Count Without Counting Author:Ivan Niven The mathematical subject introduced in this book is known as combinatronics. In addition to its use in coping with questions such as "how many ways are there of changing a dollar bill?" (which the author answers fully in Chapter 7), combinatorial thinking enters most elegantly into the proofs of many theorems in various branches of mathematics. ... more »In elementary mathematics, the proof of the binomial theorem offers a striking example of the power of combinatorial arguments. Familiarity with the rudiments of algebra is the only mathematical preparation needed to read Professor Niven's book. Numerous problems and their solutions assist the reader to master the art of counting without counting.« less