Mathematics for the Adventurous Self-Learner
This is so difficult.  I&#x27;ve been doing it off and on for twenty years and not made much of a dent in things.<p>The hardest part I think is understanding and measuring your progress.  In school you&#x27;ve got exams and classmates to compare against, profs to talk to.  Alone it&#x27;s much harder.  &quot;Do I understand this well enough?&quot;  &quot;Did I do the problems right?&quot;  (Especially with proof problems, how do you <i>know</i> you&#x27;re right?).  &quot;I can work through some problems one by one, but it feels like something fundamental I&#x27;m missing.  Am I, or is this chapter really just about some tools?&quot;<p>Then it&#x27;s way too easy to say well I&#x27;m never actually going to use any of this so why am I doing it ... and take a few months off and come back forgetting what you&#x27;d learned.