Integration "by parts" [was Re: Functions computed by Turing Machines ...]

On 04/05/2025 22:18, Richard Heathfield wrote:

[...] I hit a hard wall (integration by parts) and never really recovered.

Is that still a "hard wall" for you?  I know how annoying it is
to be told that something you find hard is "really" very easy, but in this
case it really is, and the problem is usually bad teaching.  That in turn
is usually down to pay;  if mathematicians can get two or three+ times the
salary by going into accountancy, computing, ..., then it's not surprising
that only the most dedicated go into teaching and the rest is left to a
smattering of people with school maths who barely understand what they're
trying to teach.  Fair dos, some of them turn out to be excellent, but the
general standard is dire.  Recent prominence [at least in the UK] given to
"STEM" is perhaps changing that, but it's too late for most people.
--
Andy Walker, Nottingham.
    Andy's music pages: www.cuboid.me.uk/andy/Music
    Composer of the day: www.cuboid.me.uk/andy/Music/Composers/Wolf