Proofs: A Long-Form Mathematics Textbook by Jay Cummings

Proofs: A Long-Form Mathematics Textbook by Jay Cummings is a comprehensive guide designed to help students master the art and science of mathematical proof. This textbook provides detailed explanations, worked examples, and rigorous exercises that build foundational understanding from the ground up. Perfect for undergraduate mathematics students, self-learners, and anyone seeking to strengthen their proof-writing skills, this long-form approach allows readers to engage deeply with concepts and develop genuine mathematical maturity. Ideal for courses in discrete mathematics, abstract algebra, real analysis, and logic.