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The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techn
Introduction. Logic and Reasoning. Sets and Functions. The Structure of Mathematical Proofs. Finding Proofs. Direct Proof: Variations. Existence and Uniqueness. Mathematical Induction. Hints and Solutions to Selected Exercises. Bibliography. Index.