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I would like to get a list of mind maps of advanced mathematics topics. As an example, I have posted one below. I would be happy if you post such other maps. Making one and posting it here is also encouraged.

However, I am specifically not interested in those diagrams that pertain to either high school mathematics or an intricate web of highly specialized theorems. enter image description here

Many thanks!

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  • $\begingroup$ Sorry I forgot to tick the Community Wiki box. And now, the box does not show when I try to edit. $\endgroup$ – Chulumba Mar 26 '12 at 16:17
  • $\begingroup$ Not sure how you are using the words, "mind map," but Wikipedia says "... items linked to and arranged around a central key word or idea." Here, do you really want "formal systems" to be your "central key idea?" This seems like an unproductive use of a mind map $\endgroup$ – Thomas Andrews Mar 26 '12 at 16:17
  • $\begingroup$ @ThomasAndrews, how about "Visual aids" or "Visual maps"? $\endgroup$ – Chulumba Mar 26 '12 at 16:21
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    $\begingroup$ There is a table at the beginning of the book Abstract Algebra: an introduction by Thomas W. Hungerford resulting in a mental map of abstract basic Algebra as it is this that you want.I hope helped in your search. $\endgroup$ – Elias Costa Mar 26 '12 at 16:24
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    $\begingroup$ This is probably worth a link here: math.niu.edu/~rusin/known-math $\endgroup$ – yasmar Mar 31 '12 at 12:04
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Here is a mind map by Konrad Voelkel that I understand and which was quite helpful when I was going to revise for an exam in Complex Analysis.

enter image description here

And another that is beyond my head presently and probably way beyond this site too ;-) is the following which appeared here.(I keep this as a souvenir of how much abstraction there is in mathematics! I hope you would, too.)

enter image description here

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  • $\begingroup$ Do you know which software was used to create the first diagram of your answer ? $\endgroup$ – yucer Jan 28 '17 at 3:25
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Although it is a bit messy, you may be interested in the following map:

enter image description here

If anyone knows who made it, please let me know!

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  • $\begingroup$ Holy hell, did you make that by hand! $\endgroup$ – jimjim Oct 3 '17 at 22:26
  • $\begingroup$ @Arjang no no, I didn't! I found it somewhere on the internet. I think the person who made it, made it by hand though. However, I don't know who the creator of this map is. $\endgroup$ – Max Muller Nov 6 '17 at 19:47
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Although I do not know whether you call it a mind map or not, the Periodic Table of Finite Simple Groups was a recent brainchild of Ivan Andrus, described in more detail in his blog post.

In picture, here it is:

clickable image

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I just found a fantastic map titled "A Map of the L-functions and Modular Forms Database" here.

The best way to view it including the alt text is by clicking through to get to the original website or observe the picture below

enter image description here

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  • $\begingroup$ The image can't be saved with the alternate text. How can I do that so that I can post it here in full detail? $\endgroup$ – Mathing being Jun 2 '12 at 12:13
  • $\begingroup$ I've added the picture for you; just took a screensnap of the web page and uploaded that. $\endgroup$ – ItsNotObvious Jun 2 '12 at 13:39
  • $\begingroup$ @ItsNotObvious, thanks but did you not miss the alt-text? Perhaps it is not possible to save it that way. $\endgroup$ – Mathing being Jun 2 '12 at 14:34
  • $\begingroup$ If you mean the text that shows up when you hover over each element, there is no straightforward way to do this other than to save the html of the page and copy/past the hints to the desired location; they can't be captured as part of the image because only one shows up at a time! $\endgroup$ – ItsNotObvious Jun 2 '12 at 15:29
  • $\begingroup$ @ItsNotObvious, okay. Thanks for the info. $\endgroup$ – Mathing being Jun 2 '12 at 19:40
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The Mathematical atlas : A gateway to modern mathematics

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Here's a nice map of exceptional (aka interesting) symmetry objects.

enter image description here

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Map of all mathimatics

source https://www.youtube.com/watch?v=OmJ-4B-mS-Y

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