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Old 2021-05-19, 13:10   #23
drkirkby
 
"David Kirkby"
Jan 2021
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I don't see anyone mentioned

https://ocw.mit.edu/index.htm
which covers all topics.

There's a number theory course on YouTube
https://www.youtube.com/watch?v=19SW3P_PRHQ
based around a Dover book. I have not watched much of the video. As the author points out, Dover books are quite reasonably priced. I have bought the book, and intend watching the video, using that in conjunction with the book.

The Open University put a bit of a course on number theory on their website.

https://www.open.edu/openlearn/scien...tion-0?intro=1
However, I think the amount is pretty small compared to other resources mentioned where people have put whole books, or several chapters of books freely available. As such, the OU course might not be worth bothering with.

Dave (engineering graduate).
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Old 2021-05-25, 12:21   #24
Nick
 
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Dec 2012
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Thanks to Mike for the following tip:
https://artofproblemsolving.com/arti...les/SatoNT.pdf

Slight caveat on this one: the puzzles are good but the theory is not always completely precise or optimal.
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Old 2021-05-25, 13:06   #25
drkirkby
 
"David Kirkby"
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Quote:
Originally Posted by Nick View Post
Slight caveat on this one: the puzzles are good but the theory is not always completely precise or optimal.
You got me thinking, that perhaps a forum that is devoted to comments/errata about number theory text books would be useful. One thread per text book.

Dave
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Old 2021-07-26, 08:29   #26
Nick
 
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For anyone looking for a fun bit of summer reading:
The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg

I think the above link is open access, but if you have any trouble there is also an arXiv version here.
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