@matematico314
Ah! One of my all-time favorite classes was a course on the Lebesgue integral taught by the inimitable David Bressoud. We studied it in historical order: encountering problems as mathematicians encountered them in the 19th century, proving a theorem one week that turned out to be false the next week, sharpening definitions as we went in true Lakatos style. It was wonderful.
Thanks for the meme-y memories!
@matematico314
Ah! One of my all-time favorite classes was a course on the Lebesgue integral taught by the inimitable David Bressoud. We studied it in historical order: encountering problems as mathematicians encountered them in the 19th century, proving a theorem one week that turned out to be false the next week, sharpening definitions as we went in true Lakatos style. It was wonderful.
Thanks for the meme-y memories!
@inthehands @matematico314 omg that class sounds amazing. I have so much math squirrelled away in my head (dual major technically but ended up in industry as a code monkey using very little of it) but we weren't often taught it in historical context so most of what I have is just a name associated with a theorem.
@r343l @matematico314
If you want to take the journey yourself, we mostly followed this book:
https://bookstore.ams.org/chel-282/
It’s pretty thick going; I doubt I’d have made it very far on my own without the help of the course structure! But if you are feeling adventurous….
@inthehands @matematico314 Lol. I will add it to my queue after I work through my Abstract Algebra text (making myself do all the exercises...) and complex analysis. Ha!
@matematico314 Suggested alt text for the image (which you can add by editing the post):
A cartoon of two Christmas trees side by side, both with Lego-like block shapes. On the left is “Riemann’s Christmas Tree,” composed of vertical bars. On the right is “Lebesque’s Christmas tree,” composed of horizontal bars.
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