My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news

Thanks Tree2Thanks
  • 2 Post By CRGreathouse
LinkBack Thread Tools Display Modes
May 19th, 2014, 10:27 PM   #1
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.

questioner1 is offline  
May 20th, 2014, 06:02 AM   #2
Global Moderator
CRGreathouse's Avatar
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 938

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
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.
Thanks from Evgeny.Makarov and raul21
CRGreathouse is offline  
May 28th, 2014, 03:15 AM   #3
Joined: May 2014
From: Madagascar

Posts: 3
Thanks: 1

Function Space is a good resource that satisfies all your purposes!
Bella is offline  

  My Math Forum > Math Forums > Math

knowledge, mathematical, tree of life

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
A "simple" application of dirac delta "shift theorem" SedaKhold Calculus 0 February 13th, 2012 11:45 AM
Query "Mathematical Toolchest" answer Richard C Algebra 5 June 10th, 2011 04:29 AM
"Mathematical Logic" by Cori and Lascar: Incomplete proof? omoplata Applied Math 4 June 3rd, 2011 02:53 PM
sample exeriment-need help finding "statistic" and "result" katie0127 Advanced Statistics 0 December 3rd, 2008 01:54 PM
"Half Life" of an object equation question. FoScho Algebra 3 November 30th, 2008 04:54 PM

Copyright © 2019 My Math Forum. All rights reserved.