Mathematical Proofs

Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing arguments, and composing clear, mathematically correct proofs. Designed for courses in transition to advanced mathematics or introduction to proof, the textbook supports the development of mathematical maturity.

Core chapters cover foundational topics including relations, functions, and the cardinalities of sets. To expand on these concepts, the volume also features optional excursions into number theory, combinatorics, and calculus.

A thoughtful collection of exercises supports student progress from analyzing proofs to producing well-constructed proofs independently. The work is also designed to serve as a reference in subsequent mathematics courses when reading and writing proofs.