The Mathematics of Symmetry

This video goes over the topic of group theory and gives a brief overview of how the mathematics of symmetry works.

[awkweird_panda]

Whenever I click on these vids I expect High quality content and thats where Majorprep never fails me.

[ahmadbelial]

I'm thinking of starting a major in mathematics for fun

[shacharh]

I took a course on group thoery in the prev semester, it's one of the most interesting I've taken yet. Everyone with an interest in mathematics should get into that

[ncedwards]

6:58 was just casually thrown in there and I love it.

[nikhilnarayanan]

Top notch. Watched all 18 minutes. Keep it up! :)

[Psalm_]

Nikola tesla even said geometry is like the language of the universe

[seanhatton]

That was awesome. I’m currently majoring in data analytics and mathematics, which is great but bloody hard work sometimes. Your videos remind me that the shit is still great fun, and why I chose this path in the first place 👍

[Roosyer]

I’m NOT interested in engineering or mathematics but somehow I managed to watch the whole video. You’re good at this bro! No, you’re great! :)

[nerkulec]

This was the best explanation by invention (which is the best way) of complex numbers I have ever seen. Even tho I got to know all this stuff from excellent professors in uni, THIS video still blew me away thanks to the angle from which you approached this. Big congrats!

[SM-qkjv]

Could you please make a video on the differences between electrical and electronic engineering? Thank you very much. keep up the good work.

[waltermeissner]

At time 11:05, the bubble with the crystalline pattern can best be done with a Soap/Sugar/CornSyrup solution at a temperature at or below -40 C or -40 F.

[supriyaprajapati]

Because of this channel...
I develop interset in mathametics....
Thanks

[pladselsker]

4:44 that table looks alot like the multiplication table of quaternions.... 🤔

[brandonfox]

Great job easily demonstrating the 5th roots of unity!

[arnavrawat]

Do one on sound. I always wanted to learn the musical scale. It would be easier to learn if a hidden relationship was easily observable.

[justfrankjustdank]

all of these swag ass editing skills went to waste, only 93k views :(





(not that thats an extremely small amount, its small in comparison to the editing)

[momgksh]

Was wondering if you could make a statistics or neuroscience video akin to your other college major videos. Granted, stats and neuro are less ubiquitous among undergraduate programs but it is possible that would be of interest.

[alansmithee]

I believe for multiplying two complex numbers - you multiply their distances from the origin, then add their angles.
We see the adding of angles here, but as we are only dealing with complex numbers of distance 1 from the origin, the result is also a distance of one, hence why all the values here remain on that circle (1*1=1)

[Dyslexic-Artist-Theory-on-Time]

It is madness to think symmetry can form out of chaos and time out of statistical entropy! But it is logical that a process of spherical 4πr² symmetry forming and breaking could form entropy with the potential for greater symmetry formation. When the spherical symmetry breaks, it could form the potential for the most beautiful of geometrical shapes, the spiral.
We have photon ∆E=hf energy continuously transforming potential energy into the kinetic Eₖ=½mv² energy of matter, in the form of electrons. Could this process form a design pattern or template in the form of spherical geometry for self-organization and complexity to arise?
Could a single geometrical process square ψ², t², e², c², v² forming the potential for mathematics?
We need to go back to r² and the three dimensional physics of the Inverse Square Law. Even back to the spherical 4πr² geometry of Huygens’ Principle of 1670. The Universe could be based on simple geometry that forms the potential for evermore complexity. Forming not just physical complexity, but also the potential for evermore-abstract mathematics.

[zoltankurti]

Classification of topologycal spaces. For example every topologyval space has a homotopy group.