[mamonster]

When I was an undergrad doing the mandatory measure theory course, I stumbled on a super old book(pre-1950 if I remember correctly, library card showed 3 people taking it out in the last 10 years) ,the name of which I forgot, that basically "re-built" the process that Lebesgue/Caratheodory/Riemann/etc followed, the problems they encountered (i.e Vitali set), why Lebesgue measure was the way it was and so on.

I really wish I could remember the name of the book, but it made so much more sense than how even something like Stein Shakarchi or Billingsley, which introduced measures by either simply dumping the Vitali set on you as the main motivation or just not really explaining why stuff like outer measure/inner measure made sense.