Meticulously crafted, college-student-friendly textbook that helps build mathematical maturity
Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition (PDF) introduces students to analyzing proofs, proof techniques, and writing proofs of their own that are not only mathematically correct but also clearly written and presented. Written in a math-student-friendly manner, it provides a solid introduction to such topics as functions, relations, and cardinalities of sets, as well as optional excursions into fields such as combinatorics, number theory, and calculus. The exercises receive consistent praise from users for their creativity and thoughtfulness. They help college students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This ebook is also an excellent reference for college students to use in future courses when reading or writing proofs.