There already is off-shoring of radiologists. Once the image is taken it is digitized and zipped around the world to a radiologist on the other side of the planet. This was hospitals can have access to radiologists 24/7. One of the big companies doing this is NightHawk Industries. Hospitals in the US, or at least the ones I know of in Ohio, are required to have a radiologist present at all times to read the X-ray. This fulfills that requirement. Heck, there are even people working on remote controlled robots doing surgeries. If it's remote control what difference is it if the doctor controlling the robot in in the next room, next state, or other side of the planet. People in the middle of nowhere can have access to some top-notch surgeons this way.

Related to that, the Cleveland Clinic offers "Remove Medical Second Opinion". http://www.eclevelandclinic.org/myConsultHome It is a bit pricey, but this is one of the best medical centers in the world.

Any book by Martin Gardner would be excellent, but maybe they are too wide ranging ?

The History of Pi by Beckman is pretty good.
e: The Story of a Number, by Eli Maor is very nice.

How to Read and Do Proofs by Daniel Solow is excellent.