The Fountains of Paradise by Arthur C. Clarke
My rating: 4 of 5 stars
I didn't expect to like this. Space elevators, yawn. We discussed this on the SFF Audio Podcast, and I'm glad we did because I may not have read it otherwise.
The setting, in Sri Lanka, with the historic temple/kingdom/gardens - first of all I can't believe that place exists. But it does.
And then somehow it is the only appropriate place to build a space elevator. The story goes backwards and forwards in time. It triggered my imagination like when I was young!