Learn English – Verb for “recreation”

Consider teleworker:

someone who works from home, and communicates with their employer, customers etc using a computer, telephone etc.

(Longman)

EDIT: As the dictionary definition says, the means of communication with the employer are not limited to computers. Phone, beeper and other means are possible. A teleworker seamstress with no computer is therefore also possible. Maybe she uses her Android smartphone, or a landline, why not? From a job site called Telework Recruiting:

We are looking for an experienced seamstress to become part of our London team. Candidates must be able to work from home with their own equipment.

(http://www.teleworkrecruiting.com/job/seamstress/)

A term that common for learning a new language, but could be used for any field of study, is immerse:

he immersed himself in [or into] his studies

or

he immersed himself in the library books

Oxford Dictionaries:

("immerse oneself" or "be immersed") Involve oneself deeply in a particular activity or interest.
‘she immersed herself in her work’
‘she was still immersed in her thoughts’

American Heritage Dictionary:

To engage wholly or deeply; absorb: scholars who immerse themselves in their subjects.

Collins English Dictionary:

• If you immerse yourself in something that you are doing, you become completely involved in it.
  Since then I've lived alone and immersed myself in my career.
  He's really becoming immersed in his work.
• to involve deeply; engross
  to immerse oneself in a problem

Macmillan Dictionary – immerse yourself in something:

to spend most of your time doing something or thinking about it
Sandra immersed herself in work to try and forget her problems at home.