How To Think Like A Mathematician by Kevin Houston

A Companion to Undergraduate Mathematics

A concise, practical introduction to the habits and techniques of rigorous mathematical thinking, this book teaches how to read, understand and construct proofs by developing precision with definitions, logical reasoning, quantifiers and notation. It surveys common proof methods (direct argument, contrapositive, contradiction, induction), offers strategies for problem-solving and clear mathematical writing, and provides examples and exercises aimed at helping students make the transition from computational to theoretical mathematics.

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