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Unless you
were a total pro at mathematics in high school, you probably only have a vague
recollection of things like geometry, algebra, and some guy called Isosceles (what a great name) and
that sucks, because mathematics is one of the most fascinating languages
humanity has ever devised, but without university-level expertise, you're going
to have a very bad time trying to figure out how things like chaos
theory and fractal
geometry tie in with machine learning and all those crazy
prime numbers we keep finding.

Enter YouTuber Dominic
Walliman, who last December delivered this
incredible Map of Physics, and is now back to help us find - or reclaim - a
passion for all things numbers.

"The
mathematics we learn in school doesn't quite do the field of mathematics
justice - we only get a glimpse of one corner of it, but mathematics as a whole
is a huge, and wonderfully diverse subject," Walliman says in the video
below.

To navigate
this complex and busting Map of Mathematics, the best place to start is in the
middle, where the orangey brown circle depicts the origins of human interest
into how numbers explain our Universe:

We've then
got two main sections that represent the two major fields in mathematics today
- Pure Mathematics (an appreciation of the language of numbers itself) and
Applied Mathematics (how that language can be used to solve real-world
problems). You can mess around with and download a high-res, zoomable version here, and
print it on a throw pillow here,
because we all need something to look at on the couch when

*Taboo*is getting a little too weird.
To fully
appreciate Walliman's Map of Mathematics, you should definitely watch the video below to
get the proper walkthrough. All those names of things - topology, complex
analysis, and differential geometry - might not sound like much to you now, but
you'll soon learn that they're really just describing the shapes of things in
our Universe, and the way those shapes change in time and space are explained
by things like calculus and chaos theory.

Now that
you've made it through the trickiest theoretical stuff, it's on to applied
Mathematics, which applies to the disciplines of physics, chemistry, and
biology, where number systems are integral to understanding how the Universe
and everything in it behaves. You've also got engineering, economics, and
game theory, and probability, cryptography, and computer science - all of which
simply wouldn't exist had our very cluey ancestors not laid the foundations of
number-sleuthing for us centuries ago.

What's that?
Mathematics literally applies to everything in life and the
Universe? [Internal cheering by maths teachers intensifies]

If all of
this sounds all too basic for you, don't worry, there's more to this map than
just pure and applied mathematics. It even covers what could be the biggest
mystery of the entire discipline - how researchers examining the foundations of
maths have failed to find a complete set of fundamental rules, called axioms,
that are provably consistent across every little nook and cranny of the
mathematical universe.

This post was written by Usman Abrar. To contact the
writer write to iamusamn93@gmail.com.
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