Building Up    by Jim Cline
Price: $0.99 USD. 121910 words. Published on July 1, 2009. .
Their corporate bosses have given them a dangerous job intended to fail - the building of the first small Space Elevator - but when they succeed at that task, they are transferred to another project, that of finishing building the first classical wheel-type Space Station in LEO - where they discover that it is a prison from where they are intended to never return. (1st in Jim Cline's sci fi saga)

Leaving the Planet by Space Elevator    by Linda J Phillips
Price: $1.99 USD. 40270 words. Published on November 17, 2010. .
The seminal work on the Space Elevator by the controller of the project from the 1990's, together with a Foreword by the late Sir Arthur C Clarke, this explains the Space Elevator concept, how it works, when it will be deployed, and all the detail that goes with it.