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Book of Proof
Richard Hammack
Table of Contents
I: Fundamentals
1. Sets
2. Logic
3. Counting
II: How to Prove Conditional Statements
4. Direct Proof
5. Contrapositive Proof
6. Proof by Contradiction
III: More on Proof
7. Proving Non-Conditional Statements
8. Proofs Involving Sets
9. Disproof
10. Mathematical Induction
IV: Relations, Functions and Cardinality
11. Relations
12. Functions
13. Cardinality