[HN Gopher] Number theory explained from first principles
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Number theory explained from first principles
Author : yewenjie
Score : 89 points
Date : 2022-09-17 18:12 UTC (4 hours ago)
(HTM) web link (explained-from-first-principles.com)
(TXT) w3m dump (explained-from-first-principles.com)
| danielvaughn wrote:
| For a site literally called "Explained from First Principles", it
| delves almost immediately into elliptic curve cryptography and
| one-way functions. Am I missing something?
| 323 wrote:
| Reminds me of this classic meme:
|
| https://i.imgur.com/gAtCJFz.jpeg
| danielvaughn wrote:
| What's even funnier is that I've actually read a math
| textbook that quite literally did this exact thing.
| curiousgal wrote:
| 90% of French technical books assume that you are an expert
| on the topic.
| amelius wrote:
| Textbooks should really be tested on a diverse audience with
| N>10, and then the feedback should be incorporated back into
| the text, and then another N>10 test should be done if
| necessary.
| ceph_ wrote:
| Really thought your link was going to be "draw the rest of
| the owl"
|
| https://i.kym-
| cdn.com/photos/images/newsfeed/000/572/078/d6d...
| unethical_ban wrote:
| >The goal of this article is to understand how we can construct
| linear one-way functions using finite groups which have a
| certain property.
|
| What is linear? What is one-way? What is a function? What is a
| finite group? What is a property?
|
| The inline links are bandages.
| joko42 wrote:
| Have you read the whole article? It's pretty good.
| hintymad wrote:
| > delves almost immediately into elliptic curve cryptography
| and one-way functions.
|
| It reminds me of Kun's primer on probability. The primer jumps
| to the definition of probability space and measure in the first
| few paragraphs: https://jeremykun.com/2013/01/04/probability-
| theory-a-primer...
|
| A good primer, nonetheless. Just not necessarily accessible to
| majority of programmers.
| ravi-delia wrote:
| That's what's lovely about mathematics- in many ways it
| compresses very well, assuming the receiver is infinitely
| intelligent. How can Alice communicate all of math to Bob?
| Mail him some chalk and wait!
| amself wrote:
| these are pretty elementary in the grand scheme of things!
| danielvaughn wrote:
| Sure but are they the foundational elements of number theory?
| lol
| imranq wrote:
| Very cool.
|
| I'd also recommend Number Theory by Andrews. It's a great
| comprehensive introduction.
| [deleted]
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