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- ISBN: 9780321797094 | 0321797094
- Cover: Hardcover
- Copyright: 9/17/2012
Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares readers for the more abstract mathematics courses that follow calculus. This text introduces readers to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets. 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) For all readers interested in mathematical proofs.