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I’m someone who never really internalised nor had use for any arithmetic, let alone mathematics, at all in life. And yet I see mathematics like this and I’m blo

I’m someone who never really internalised nor had use for any arithmetic, let alone mathematics, at all in life. And yet I see mathematics like this and I’m blown away at the apparent beauty of it. I look at equations I just _want_ to understand and navigate in my mind. But without knowing the path to get there I’m stuck at zero. Take the Riemann hypothesis for example. I wouldn’t mind understanding all the notation with examples and exercises for each part of the notation so I could bring it back together myself. There’s beauty here and I want it in my head.

flubert 6y ago
>Riemann hypothesis for example I'll recommend reading the chapter on the Riemann Hypothesis from the book: The Millennium Problems by Keith Devlin. https://www.amazon.com/Millennium-Problems-Greatest-Unsolved-Mathematical/dp/0465017304/ https://www.amazon.com/Millennium-Problems-Greatest-Unsolved... That has about 42 pages of prose describing the problem in layman terms. I'd think someone who tackled high school math should be able to follow it. Dr. Devlin also has a good Coursera course on an introduction to mathematics.
solotronics 6y ago
This is a pretty good resource! https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Calculus_(Apex)/05%3A_Integration/5.03%3A_Riemann_Sums https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Cal...
- Enginerrrd 6y ago
  Riemann Sums != Riemann Hypothesis. That said, there is a decent book for the layman on RH: "Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics" https://www.amazon.com/Prime-Obsession-Bernhard-Greatest-Mathematics/dp/0452285259 https://www.amazon.com/Prime-Obsession-Bernhard-Greatest-Mat...
deleted 6y ago
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imtringued 6y ago
Honestly your best bet would be to just go to individual university courses if you don't want a full degree. Alternatively just follow along public courses. A lot of the "nonsense scribbles" often only make sense if there is an actual human talking about them.

flubert 6y ago

>Riemann hypothesis for example I'll recommend reading the chapter on the Riemann Hypothesis from the book: The Millennium Problems by Keith Devlin. https://www.amazon.com/Millennium-Problems-Greatest-Unsolved-Mathematical/dp/0465017304/ https://www.amazon.com/Millennium-Problems-Greatest-Unsolved... That has about 42 pages of prose describing the problem in layman terms. I'd think someone who tackled high school math should be able to follow it. Dr. Devlin also has a good Coursera course on an introduction to mathematics.

solotronics 6y ago

This is a pretty good resource! https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Calculus_(Apex)/05%3A_Integration/5.03%3A_Riemann_Sums https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Cal...

Enginerrrd 6y ago
Riemann Sums != Riemann Hypothesis. That said, there is a decent book for the layman on RH: "Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics" https://www.amazon.com/Prime-Obsession-Bernhard-Greatest-Mathematics/dp/0452285259 https://www.amazon.com/Prime-Obsession-Bernhard-Greatest-Mat...

deleted 6y ago

[deleted]

imtringued 6y ago

Honestly your best bet would be to just go to individual university courses if you don't want a full degree. Alternatively just follow along public courses. A lot of the "nonsense scribbles" often only make sense if there is an actual human talking about them.