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May 19th, 2014, 10:27 PM  #1 
Member Joined: Oct 2009 Posts: 50 Thanks: 0  A "tree of life" of mathematical knowledge?
Hello everyone, I have a question that I hope I will be able to explain clearly... I was thinking earlier: Most of my mathematical knowledge is like a branching "tree", in the sense that: You need algebra to understand calculus, and you need arithmetic to understand algebra. Also, you need caulcus to understand statistics. Similarly, you need algebra to understand matrix/linear algebra (but you don't necessarily need calculus for that), and you need matrix algebra to understand dynamical systems theory. My point is probably clear. Now I want to develop my knowledge and skills of mathematics further, and for that reason, I'm wondering what the "tree of knowledge" looks like for mathematics. For example, if I want to learn group theory (which I do), then what would I have to learn first? I know this is a kind of weird and general question, but: Is there some kind of website/book that gives an overview of all mathematical knowledge in a casual way? The reason I'm asking this, is that right now, I don't have a clear picture at all of what we know about mathematics, and what I would need to learn first in order to learn about mathematical theory X or Y. I'm not sure if my question is clear, so if itisn't, I'll be glad to clarify. Thanks! 
May 20th, 2014, 06:02 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
The MSC MSC2010 database is a good starting point for what the fields are and how they're connected, though unfortunately it's a graph rather than a digraph so it doesn't quite answer your question. 
May 28th, 2014, 03:15 AM  #3 
Newbie Joined: May 2014 From: Madagascar Posts: 3 Thanks: 1  Function Space is a good resource that satisfies all your purposes!


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