I spent more time this past week on studying non-elected course topics than I probably should have done.
M343 and M347 feel ok, so I began to look at complex analysis, skipping around through various books and watching various online videos as I went.
I’m at a point where I’m playing around with the Reimann zeta function and Euler product, and looking at their applications to analytic number theory, which, of course, has led to a totally baffling meeting with the Reimann Hypothesis, the outline of which I don’t understand, let alone methods of proving it.
And that’s where I’d better stop for a week or so, or I’ll be falling behind with elected study.
A “side aim” this year, is to have essentially studied much of the meat of undergraduate complex analysis before formally enrolling onto a course in it in October this year. From that, an interest in analytic number theory *may* emerge.
Other distractions this week included producing two proofs of Pythagoras’ Theorem, both of which are already well-known (no surprises there), and thinking up ways to evaluate the Gaussian integral (keeps the brain cells ticking over, which is probably a good thing.)
A coin will go in the air this evening to decide whether to crack the next few units of M347, or the next book of M343 in the coming week or two.
The rest of today has been allocated to garden work.