For the idea of building and improving the analytical part of your brain, I highly recommend the Coursera course Learning How to Learn by Dr. Barbara Oakley. [0] An excerpt from her Wikipedia page[1]:

After her Army duties ended, Oakley decided to challenge herself and see if her brain, more used to the study of languages, could be 'retooled' to study mathematical subjects. She chose to study engineering, in order to better understand the communications equipment she had been working with in the Army.

[0]: https://www.coursera.org/learn/learning-how-to-learn [1]: https://en.wikipedia.org/wiki/Barbara_Oakley