If you want a reference that will not bore them, supplement the main text with "Metric Spaces: Iteration and Application" by Victor Bryant. The book is short and it shows in several contexts how the concept of a fixed-point property, via iteration, can be used to solve worthwhile problems. It is very nicely written and Bryant makes a real effort to motivate the material and explain where things are going and why.
KConrad
- 50.6k
- 9
- 196
- 277