[curiouslurker]

> A reassuring story for those of us who feel we are strong in many areas but fear we have deep, dangerous holes in certain fundamentals.

Then you will likely enjoy The Man Who Knew Infinity. Hardy and his peers were often shocked at the gaps Ramanujan had on basic fundamentals given his brilliant findings--based on this lack, his discoveries seemed like magic. Wolfram reviewed the movie here: http://blog.stephenwolfram.com/2016/04/who-was-ramanujan/