Image about connection of different parts of Mathematics

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Discussion Overview

The discussion revolves around a request for a specific flow chart image that illustrates the connections between different areas of mathematics, culminating in quantum field theory (QFT) and general relativity (GR). The scope includes conceptual exploration of mathematical relationships and references to educational resources.

Discussion Character

  • Exploratory, Conceptual clarification, Meta-discussion

Main Points Raised

  • One participant recalls a flow chart that connects various mathematical fields, starting from basic mathematics and leading up to QFT and GR.
  • Another participant mentions a potential source for a similar graphic in the book "Mathematical Physics" by Robert Geroch.
  • A third participant suggests a link to a website, http://www.math-atlas.org/, as a possible reference for the image.
  • The original poster clarifies that the suggested website is not the correct one, indicating the desired graphic is more general in nature.
  • The original poster expresses uncertainty about the exact source, suggesting it might be found on arxiv but admits difficulty in searching effectively.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific image being sought, and multiple suggestions are offered without agreement on the correct source.

Contextual Notes

The discussion reflects limitations in memory and resource availability, as well as challenges in effectively searching for academic materials online.

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Hi guys!


Today I remembered that I used to have a fantastic image (like a flow chart) about different parts of mathematics and how they are connected. In the final stage (at the top), they were connected to QFT and GR.
It's down->top, at the lower end were basic mathematics (sets, boolian algebra, etc.), going up came more complicated theories (groups, fields, linear algebra, analysis, vector algebra, manifolds, etc.), at the top were QFT and GR.

Interesting about that graphic was that it showed how different fields of mathematics are connected, like adding a operation to a set and you get a group. Or combining Linear Algebra and Analysis and you get Vector Algebra.

The graphic is rather simple, the boxes with the different theories were yellow and rectangles (and circles?)

Does anyone happen to know what I mean?

If yes, could you please post it here.
I've been looking for it for hours, but can't find it and i cannot recall where I saw it the first time.


Thanks
 
Mathematics news on Phys.org
I remember there's one of these in the book "Mathematical Physics" by Robert Geroch.
 
morphism said:
Are you talking about this: http://www.math-atlas.org/?

No, not this one. It was more general.


ad) Robert Geroch's "Mathematical Physics"
No, I don't think so. But I have never seen his book (and it isn't available in my library), so i don't know for sure.

It might have been somewhere on arxiv... but I couldn't find it or wouldn't know how to search more effectively
 

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