Author: DiBeo’s
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People Confuse Doing Arithmetic with Doing Mathematics
When you’re asked to consider a non-orientable hyper-dodeca-almost-icosa-oids in the 16 dimensional space with a metric nobody remembers defining, well, you’ll be in the world of pure mathematics. But when someone suddenly asks you to add 57 to 89, and then divide that by 7.5 in your head, you’ll probably panic for a second. And
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What Makes a Space Topological?
“Topology is precisely the mathematical discipline that allows the passagefrom the local to the global.” – René Thom Have you ever wondered what makes a space Topological? In this video we will delve into the complete introduction into Topology: everything from famous shapes, to open sets, discrete and fine topologies, with examples with socks and
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The Best Way to Learn Group Theory
“Mathematics is the study of patterns.” – Lynn Steen Abstract Algebra by Dummit & Foote is one of the most recommended books on Abstract Algebra. I didn’t study all of it, but for the few pages I read, I can honestly say that it is not easy to follow. We’re going to be looking at
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How Mathematics Ruined Other Subjects (For Me)
The general public has literally no idea what pure mathematics is. I mean zero. And in my opinion, that’s a problem, because not only does pure mathematics itself end up being super misunderstood and unappreciated, but the people who study it are looked at as weird, when they’re actually some of the most intelligent people
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The Most Powerful Theorem in Operator Theory
“Physics is too difficult for physicists.” – David Hilbert Operator theory is one of the foundations of Quantum Mechanics and it’s one of those mathematical areas that stores the craziest things that can possibly happen in what we call reality. And the theorem we will talk about today, is a way of shedding light into
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You’ve Been Learning This Theorem The Hard Way
Why do advanced math books have to be so complicated? With the modern age of YouTube videos, AI, blogs, and forums, it’s true to say that the internet explains concepts better than most math books do. So why don’t we take a look at how these explanations should be done, compared to today’s standard?
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Why I Quit My PhD in Math
Quitting my PhD was one the BEST decisions I ever made in my life. I’ve never been happier since. But, why would someone leave a PhD in pure mathematics? I mean, isn’t it the pinnacle of knowledge and prestige? I’m gonna share 3 reasons for why I did it, and my hunch tells me that
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