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thetallstick

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thetallstick
·4 năm trước·discuss
Apostol Calculus Vol 1

The introduction gives a history lesson, a great description of the method of exhaustion with descriptive drawings, and some very straightforward proofs on finding the area under the curve for parabolic segments via some basic infinite sums (no limits), all in 10 pages in a conversational style. And it just gets better from there.

My dad gave me his book he used in the 70s and I read it in high school in parallel to the textbook the school issued. Everyone thought I was some genius because I thought calculus was so obvious and I could explain it so well but I was just parroting the text and proofs from this book, basically verbatum. I told the other kids to use it as well but no one did.
thetallstick
·4 năm trước·discuss
>> And don't forget that allied troops in Europe were rebelling (even turning their arms against their officers) at the prospect of being shipped to the pacific theatre. > I've never heard of this- was this really a widespread occurrence?

I also never heard of widespread armed rebellion but definitely there was a lot of animosity over who got to go home, who got to stay, and who had to go to the Pacific. I would not have wanted that job.

https://www.nationalww2museum.org/war/articles/points-system...
thetallstick
·4 năm trước·discuss
Maybe they weren't going to help invade mainland Japan straight away but there were still plenty of Japanese troops in China that needed to be dealt with.

https://en.wikipedia.org/wiki/Second_Sino-Japanese_War
thetallstick
·4 năm trước·discuss
Exactly.

It's entirely possible that it's correct depending on the specifics. Say for example one is trying to install MySQL 8.0 on a laptop with Catalina, which is still supported by Apple and getting security updates. This is actually unsupported and won't work. A somewhat unlikely situation but definitely not impossible.

https://www.mysql.com/support/supportedplatforms/database.ht...