- 1. The Usefulness of Mathematics
- 2. Logic
- 3. Sets
- 4. Counting Techniques
- 5. Basic Probability
- 6. Binomial Probability
- 7. Normal Probability
- 8. Basic Statistics
- 9. Geometry
- 10. Arithmetic and Algebra
- 11. Basic Finance
- 12. Game Theory
- Appendix: Standard Normal.

The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors' experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida's CLAST exam or similar core requirements.