New to this third edition of Liebeck’s book (for a review of the first edition see [Zbl 0969.00001]) are three chapters on bounds, limits and continuity, providing an introduction to analysis, and a section giving solutions to the odd-numbered exercises. (Note that the solution to Exercise 11 of Chapter 13 erroneously states that there are 250 leap years in a 1000-year period.) The book remains an excellent choice for a transitional course to rigorous mathematics or for an introduction to the world of mathematics for good students from other areas.

Reviewer:

Gerald A. Heuer (Moorhead)