3 ms·

If someone wanted to learn more about this type of mathematics, without matriculating at a university, what would be some good starting points?

SkyBelow 6y ago
3Blue1Brown on YouTube has a number of great videos into math that help give a visual understanding without needing to sit down and do the pure number crunching. I'm not sure he has one on the Riemann Hypothesis in particular, but he does cover a number of items that would be somewhat related and help build a level of comfort with being exposed to the math, even if you can't do the pure number crunching. Mathologer would be my second recommendation. Once again not sure he has touched the Riemann Hypothesis, but he does a number of great videos where you can start expanding being comfortable with often untouched fields of math (like modular arithematic) while introducing a how seemingly unrelated fields end up having connections. Videos can go between 20 minutes to an hour and I often enjoy watching one every few days.
ryanianian 6y ago
Depends on your level of {experience, intended engagement, patience for pedantics, intended outcomes}. I've found that 3Blue1Brown (youtube) gives a great starting point for many topics. Provided you actively participate in them, the videos will build up some intuition so you know what questions to ask (and why they're worth asking). The author usually links to followup resources so you know where to go next. I've found his resources a bit hit-or-miss, but they give me enough to know if I want to continue exploring. If I do, I usually check out a good textbook (I refer to https://news.ycombinator.com/item?id=17617825 https://news.ycombinator.com/item?id=17617825 often).
rfurmani 6y ago
This Numberphile video on the Riemann Hypothesis is also very good: https://www.youtube.com/watch?v=d6c6uIyieoo https://www.youtube.com/watch?v=d6c6uIyieoo
phamilton 6y ago
I highly recommend https://www.amazon.com/Music-Primes-Searching-Greatest-Mathematics/dp/0062064010 https://www.amazon.com/Music-Primes-Searching-Greatest-Mathe...

SkyBelow 6y ago

3Blue1Brown on YouTube has a number of great videos into math that help give a visual understanding without needing to sit down and do the pure number crunching. I'm not sure he has one on the Riemann Hypothesis in particular, but he does cover a number of items that would be somewhat related and help build a level of comfort with being exposed to the math, even if you can't do the pure number crunching. Mathologer would be my second recommendation. Once again not sure he has touched the Riemann Hypothesis, but he does a number of great videos where you can start expanding being comfortable with often untouched fields of math (like modular arithematic) while introducing a how seemingly unrelated fields end up having connections. Videos can go between 20 minutes to an hour and I often enjoy watching one every few days.

ryanianian 6y ago

Depends on your level of {experience, intended engagement, patience for pedantics, intended outcomes}. I've found that 3Blue1Brown (youtube) gives a great starting point for many topics. Provided you actively participate in them, the videos will build up some intuition so you know what questions to ask (and why they're worth asking). The author usually links to followup resources so you know where to go next. I've found his resources a bit hit-or-miss, but they give me enough to know if I want to continue exploring. If I do, I usually check out a good textbook (I refer to https://news.ycombinator.com/item?id=17617825 https://news.ycombinator.com/item?id=17617825 often).

rfurmani 6y ago

This Numberphile video on the Riemann Hypothesis is also very good: https://www.youtube.com/watch?v=d6c6uIyieoo https://www.youtube.com/watch?v=d6c6uIyieoo

phamilton 6y ago

I highly recommend https://www.amazon.com/Music-Primes-Searching-Greatest-Mathematics/dp/0062064010 https://www.amazon.com/Music-Primes-Searching-Greatest-Mathe...