The book "Mathematica: A Secret World of Intuition and Curiosity" has a large thread exploring this among both historical and contemporary mathematicians. How people who seem to have an almost supernatural gift for math are often just able to "see" more clearly. Not in equations or words, but images.
Also discussing the development of the ability/discipline and the difficulties in transcribing what you now intuitively know but need to describe to other mathematicians so they can understand (notation/equations).
It's a book that's stuck in my head since reading it and wondering how to apply some of this to other problem spaces.
Also discussing the development of the ability/discipline and the difficulties in transcribing what you now intuitively know but need to describe to other mathematicians so they can understand (notation/equations).
It's a book that's stuck in my head since reading it and wondering how to apply some of this to other problem spaces.