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Mathematical proofs: a transition to advanced mathematics

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Author(s): Chartrand, Gary; Polimeni, Albert D.; Zhang, Ping
Edition: Third edition
Publisher: Pearson Education
Year: 2013

Language: English
Pages: 400
Tags: Proof theory -- Textbooks.;Proof theory.

Content: 1. Communicating Mathematics, p.1 / Gary Chartrand --
2. Logic, p.15 / Gary Chartrand --
4. Direct Proof and Proof by Contrapositive, p.87 / Gary Chartrand --
5. More on Direct Proof and Proof by Contrapositive, p.111 / Gary Chartrand --
6. Existence and Proof by Contradiction, p.137 / Gary Chartrand --
7. Mathematical Induction, p.163 / Gary Chartrand --
8. Prove or Disprove, p.163 / Gary Chartrand --
9. Equivalence Relations, p.223 / Gary Chartrand --
10. Functions, p.253 / Gary Chartrand --
11. Cardinalities of Sets, p.285 / Gary Chartrand --
12. Proofs in Number Theory, p.313 / Gary Chartrand --
13. Proofs in Cakulus, p.341 / Gary Chartrand.