Mostly for my own benefit, here's a run-down of subjects and books I plan on reading in the near future.
I've been meaning to delve into this for a while, but I think watching Crash Course World History crystallised it for me. Some subjects can be more amicably divorced from their histories than others. You don't need to know about Francis Galton to understand statistics, but if you want to make sense of the Business Cycle, there's an implicit need for knowledge of historical events that pertain to the Business Cycle. It seems to me that having a basic introduction to the theory of historical inquiry may be useful. As such, I've put myself together a triptych introduction to the subject.
The three books I've opted for are The Houses of History, (which I'm about half way through at time of writing), The Pursuit of History, and History: A Very Short Introduction ((I've heard a few good things about the Oxford University Press Very Short Introductions series, and I expect to sample quite a few in the near future. Not only are they in broad alignment with my goals, but they're also ridiculously cheap on AbeBooks, and having a ~150-page volume I can polish off in an evening makes rounding off a triptych a lot more straightforward.)). I've also picked up a copy of Jared Diamond's Guns, Germs and Steel, which I've been meaning to read for a while. The plan is to see what I make of it once I'm historied up to the eyeballs.
I have something of an embarrassing secret: I am terrible at mathematical proofs. I'm conversant with common methods and techniques, and I can follow some pretty hairy ones, but ask me to personally prove something, and most of the time I'll spend half an hour pushing vacuous algebra around a page before skulking off in failure. I am led to believe this isn't an uncommon problem for people in my position. I have a lot of "methods" under my belt, but haven't really done much by way of analysis. While this doesn't matter quite so much right now in my mathematical career, it will probably become a lot more important later on, so I suspect it'd be a good idea to tackle this one now.
With that in mind, I'm awaiting the arrival of How to Read and Do Proofs, which came recommended by the four corners of the internet, along with How to Solve It, which came similarly recommended, and satisfies the charm I am under as regards quaint books from decades ago which are presumably still in print because they're of genuine value. While I will likely review these books, I won't form them into a triptych. This is a case of reading as many books on the subject as it takes to not need to keep reading books on the subject any more.