This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics.
- No image available1: Sets
- No image available2: Logic
- No image available3: Counting
- No image available4: Direct Proof
- No image available5: Contrapositive Proof
- No image available6: Proof by Contradiction
- No image available7: Proving Non-Conditional Statements
- No image available8: Proofs Involving Sets
- No image available9: Disproof
- No image available10: Mathematical Induction
- No image available11: Relations
- No image available12: Functions
- No image available13: Proofs in Calculus
- No image available14: Cardinality of Sets
Thumbnail: P. Oxy. 29, one of the oldest surviving fragments of Euclid's Elements, a textbook used for millennia to teach proof-writing techniques. The diagram accompanies Book II, Proposition 5. (Public Domain). Text from Oscar Levin's Discrete Mathematics text (CC BY-SA).