Intended primarily for a course for future high school teachers. Can also serve as an introduction to mathematical thought, a short course in number theory, an honors course at the high school level, or an introduction to mathematical education research. As much a book about numbers as a number theory text, Exploring the Real Numbers answers the need for future teachers to understand the real number system. Experienced educator Frederick Stevenson brings students up to date with the study of the nature of real numbers and provides a sense of the historical journey that has led to our current knowledge of the subject. Many interesting topics that arise during the study of the real numbers are presented and students are given the opportunity to study topics further on their own. *Unique exploratory approach. *Flexible presentation. *Presents 4 different aspects of irrational numbers, algebraic, geometric, trigonometric, and analytic. *Includes 350 exercises that keep the reader current with the text . *More than 100 carefully worked examples make the material accessible to laymen as well as students.