This edition features the exact same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value-this format costs significantly less than a new textbook. Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition , prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses. KEY TOPICS: Communicating Mathematics; Sets; Logic; Direct Proof and Proof by Contrapositive; More on Direct Proof and Proof by Contrapositive; Existence and Proof by Contradiction; Mathematical Induction; Prove or Disprove; Equivalence Relations; Functions; Cardinalities of Sets; Proofs in Number Theory; Proofs in Calculus; Proofs in Group Theory; Proofs in Ring Theory (Online); Proofs in Linear Algebra (Online); Proofs in Topology (Online) MARKET: For all readers interested in mathematical proofs.