A gentle introduction to the highly sophisticated world of  discrete mathematics, Mathematical Problems and Proofs presents  topics ranging from elementary definitions and theorems to advanced  topics -- such as cardinal numbers, generating functions, properties  of Fibonacci numbers, and Euclidean algorithm. This excellent primer  illustrates more than 150 solutions and proofs, thoroughly explained  in clear language. The generous historical references and anecdotes  interspersed throughout the text create interesting intermissions that  will fuel readers' eagerness to inquire further about the topics and  some of our greatest mathematicians. The author guides readers through  the process of solving enigmatic proofs and problems, and assists them  in making the transition from problem solving to theorem proving.    At once a requisite text and an enjoyable read, Mathematical  Problems and Proofs is an excellent entrée to discrete  mathematics for advanced students interested in mathematics,  engineering, and science.

Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry PDF

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