How to read and write proofs is an essential skill for the mathematics student at college level. The book is a first course in how to construct proofs, using elementary examples in number theory and later in simple calculus. Beginning with how to construct direct proofs from definitions, the book explains how to prove "all" statements, "some" statements (existence proofs), "if and only if", proofs by contradiction and multiple quantifiers. Mathematical induction is introduced in a separate chapter. "Delightfully written" (Mathematics Teacher); "takes a pragmatic approach that should prove appealing to students. The language is easy to read and stimulating for a student of average ability" (Mathematical Gazette)