How to Prove It

How to Prove It: A Structured Approach, 3rd Edition, is an undergraduate textbook published by Cambridge University Press. The volume guides students moving from problem-solving to proving theorems by teaching methods to read and write mathematical arguments.

Coverage addresses foundational mathematical subjects, including logic, set theory, relations, functions, and cardinality. The text systematically illustrates how to combine multiple techniques to construct complex proofs.

The 2019 edition adds a chapter on number theory along with over 150 new exercises. It is organized for introductory proof courses, independent study, or supplementary reading in discrete mathematics and foundations of computing.