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A Map of Mathematics

206 pointsby MitPittover 4 years ago

17 comments

gregw2over 4 years ago
Interesting. I still prefer the clarity of the map of mathematical structures I ran across in the late 90s from Max Tegmark... Perhaps it might interest some of you who are reading this discussion: <a href="https:&#x2F;&#x2F;space.mit.edu&#x2F;home&#x2F;tegmark&#x2F;toe.gif" rel="nofollow">https:&#x2F;&#x2F;space.mit.edu&#x2F;home&#x2F;tegmark&#x2F;toe.gif</a><p>(parent webpage if you want more context: <a href="https:&#x2F;&#x2F;space.mit.edu&#x2F;home&#x2F;tegmark&#x2F;crazy.html" rel="nofollow">https:&#x2F;&#x2F;space.mit.edu&#x2F;home&#x2F;tegmark&#x2F;crazy.html</a>).
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sn41over 4 years ago
Semi-literate nonsense - I think it only shows the &quot;little knowledge&quot; of the mapmaker.<p>What about dynamical systems? Theoretical computer science? Mathematical Logic? If you want to have a look at the classification used by the American Mathematical Society, here is what their &quot;map&quot; looks like (151 pages):<p><a href="https:&#x2F;&#x2F;mathscinet.ams.org&#x2F;msnhtml&#x2F;msc2020.pdf" rel="nofollow">https:&#x2F;&#x2F;mathscinet.ams.org&#x2F;msnhtml&#x2F;msc2020.pdf</a>
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catpoliceover 4 years ago
I&#x27;m not usually one to poke fun at these things but my friends who study formal logic&#x2F;model theory&#x2F;category theory&#x2F;homotopy type theory&#x2F;etc. will be excited to learn that they are not in fact doing mathematics.
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systemvoltageover 4 years ago
I like boring diagrams.<p><pre><code> - Static with zero animations - Connections are always visible (no need to hover over) - Logically laid out, not randomly placed and drawing connection lines all over - SVG or PNG format, I can copy it and save it on disk</code></pre>
guerrillaover 4 years ago
I prefer this one: <a href="https:&#x2F;&#x2F;tomcircle.wordpress.com&#x2F;2017&#x2F;02&#x2F;15&#x2F;map-of-mathematics&#x2F;" rel="nofollow">https:&#x2F;&#x2F;tomcircle.wordpress.com&#x2F;2017&#x2F;02&#x2F;15&#x2F;map-of-mathematic...</a>
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Ceezyover 4 years ago
At this point it looks more like trolling. No mention of the operator theory. No general analysis no general algebra. ZERO math applied to physics (discretisation, stats).
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strathmeyerover 4 years ago
Terrible presentation
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spetersover 4 years ago
At first I thought this was a random student attempting something. Would have never guesses that this was actually from quanta.<p>Here is the discussion from &#x2F;r&#x2F;math: <a href="https:&#x2F;&#x2F;www.reddit.com&#x2F;r&#x2F;math&#x2F;comments&#x2F;l4zhxh&#x2F;the_map_of_mathematics" rel="nofollow">https:&#x2F;&#x2F;www.reddit.com&#x2F;r&#x2F;math&#x2F;comments&#x2F;l4zhxh&#x2F;the_map_of_mat...</a>
nealabqover 4 years ago
This is great. It&#x27;s appeared before in HN, and I&#x27;m glad to see it again.<p><a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=22328516" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=22328516</a>
auroranilover 4 years ago
I like this poster: <a href="https:&#x2F;&#x2F;m.youtube.com&#x2F;watch?v=OmJ-4B-mS-Y&amp;feature=youtu.be" rel="nofollow">https:&#x2F;&#x2F;m.youtube.com&#x2F;watch?v=OmJ-4B-mS-Y&amp;feature=youtu.be</a>
gbolcerover 4 years ago
That&#x27;s really cool, but after poking around, I can&#x27;t find set theory, logic, and graph theory. Am I just missing it? It seems kind of tainted toward physics.
lamenameover 4 years ago
The educational youtube channel Domain of Science has a pretty wide-scope Map of Mathematics, depending on your background <a href="https:&#x2F;&#x2F;youtu.be&#x2F;OmJ-4B-mS-Y" rel="nofollow">https:&#x2F;&#x2F;youtu.be&#x2F;OmJ-4B-mS-Y</a>
outlaceover 4 years ago
I&#x27;m not getting much out of the visualization but if you click each topic it has a nice little lay-person summary which is great.
gsprover 4 years ago
That&#x27;s a strangely low number of connections to&#x2F;from algebraic topology, especially with the <i>shapes</i> section.
aardvarkrover 4 years ago
Seems like great content but on mobile at least the presentation is utterly unusable. I hope the author can make improvements
sillysaurusxover 4 years ago
“Counting holes” went to 404, sadly. I was hoping to count some holes today.
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ameliusover 4 years ago
Where is calculus?
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