Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs. Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout. For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills.

 Mathematical Reasoning: Writing and Proof, 2/E

Theodore Sundstrom

1. Introduction to Writing in Mathematics.

2. Logical Reasoning.

3. Constructing and Writing Proofs in Mathematics.

4. Set Theory.

5. Mathematical Induction.

6. Functions.

7. Equivalence Relations.

8. Topics in Number Theory.

9. Finite and Infinite Sets

Appendix: Guidelines for Writing Mathematical Proofs.