Marilyn A. Reba is a senior lecturer and Douglas R. Shier is a professor emeritus, both in the Department of Mathematical Sciences at Clemson University. The logical underpinnings of this textbook were developed and refined throughout many years of classroom feedback and in response to commentary from presentations at national conferences. Selected material from this book is currently being used in the Department of Mathematical Sciences' liberal arts mathematics course and in a problem-solving course in the Honors College.

"… an interesting approach to the world of mathematics. … The layout is good, as is the coverage. … The reinforcing exercises are excellent. Using logic and other techniques, the text lays out methods to help students learn to think in a mathematical manner. Summing up: Recommended. General readers, lower- and upper-division undergraduates."—M. D. Sanford, Felician College, Lodi, New Jersey, USA for CHOICE, November 2015

• Graphs: Puzzles and Optimization. Logic: Rational Inference and Computer Circuits. Probability: Predictions and Expectations. Counting: Voting Methods and Apportionment. Numbers: Cryptosystems and Security. Appendices. Index.