How to Prove It: A Structured Approach

This comprehensive guide is specifically designed for students struggling with mathematical proofs for the first time.

With a focus on teaching techniques needed to read and write proofs, this book provides a step-by-step breakdown of the most important techniques used in constructing proofs.

The author uses detailed "scratch work" sections to expose the machinery of proofs about natural numbers, relations, functions, and infinite sets.

Over 200 new exercises, selected solutions, and an introduction to Proof Designer software provide ample opportunities for students to construct their own proofs.

No background beyond standard high school mathematics is assumed, making this book accessible to anyone interested in logic and proofs - including computer scientists, philosophers, linguists, and mathematicians.

With clear explanations, examples, and complete solutions, this book is an exceptional choice for teaching yourself or a class about writing mathematical proofs.