Mathematical Reasoning: Writing and Proof is designed to be a text for the ﬁrst course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.
- 1: Introduction to Writing Proofs in Mathematics
- 2: Logical Reasoning
- 3: Constructing and Writing Proofs in Mathematics
- 4: Mathematical Induction
- 5: Set Theory
- 6: Functions
- 7: Equivalence Relations
- 8: Topics in Number Theory
- No image available9: Finite and Infinite Sets
- No image availableAppendix A: Guidelines for Writing Mathematical Proofs
- No image availableAppendix B: Answers for the Progress Checks
- No image availableAppendix C: Answers and Hints for Selected Exercises
- No image availableAppendix D: List of Symbols
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. Image used with permission (Public Domain).