Reviews and Evaluations
Although this is a calculus text, the first two chapters might be of interest to teachers of eleventh- and twelfth-grade mathematics, both for the selection and the treatment of topics. For example, a definition is given for a “positive” real number which reflects the completeness property of the reals rather than the order property, and the section on mathematical induction includes definition by induction as well as proof by induction. The familiar “laws of exponents” are proved as theorems, using an induction argument; and some proofs are to be found in these chapters which make rather novel use of the decimal representation for a real number. Also of interest to the high school teacher is a section on infinite sequences of rational numbers and the chapter on functions.