This review follows immediately. Thus, one of his aims is to develop mathematical maturity. The author repeatedly urges the student to try giving his own proof for each theorem before reading the one in the text.
Problem sets appear sprinkled through the text, rather than at the ends of chapters.
An intelligent, diligent student who complies with the author's suggestions should really develop mathematical maturity. Explanations and proofs are given in careful detail. Some material on motivation, and the origin of various concepts is included. Interpretation of results for the case of the real numbers is emphasized throughout. The last three chapters discuss function spaces, nets and convergence, and Peano spaces.