Recall that I am teaching real analysis next semester, and I asked for help in deciding which textbook to use. I started by considering texts by Abbott, Beardon, Ross, and Trench, but I started considering Strichartz due to Adam Glesser’s comment.
First, I have decided to dive head-first into the inverted/flipped classroom and screencasting pool in the fall. This just seems like it makes sense: the professor should be around the students when they are doing the harder work, not the easier (and more passive) work.
With this in mind, I wanted a textbook that would complement this system well. Here are my thoughts on each:
- Strichartz is too expensive. I did not spend much time considering it (sorry, Adam!) because of the price.
- Beardon is too technical and too expensive, although I like his attempt at integrating all of the ideas.
- Trench is the right price (it would be about $25 to print and bind a copy for a student), but there is too little exposition—t seemed like he basically hopped from theorem to theorem. Since I am going to have my students read the text (in addition to screencasts), I wanted a readable book.
- Ross is a reasonable price and reasonably readable, but I do not like his treatment of continuity (he defines it in terms of sequences of points).
- Abbott is left standing. It is a reasonable price (though not the cheapest), it is the most readable, and I like his motivating questions. I have heard complaints about the amount of typos, but I can fix this by making this part of my first homework assignment.
So Abbott wins. Thanks for your input.