the beauty of mathematics 4

it is recommend that you have fundamental knowledge in mathematical analysis, because i jumped between some steps to make the video shorter. for the definitions you can look at wikipedia.

edit:
and sorry for the bad english ;)

Category:

Science & Technology

Tags:

• analysis
• beautiful
• binomial
• complex
• kinetic
• math
• mathematic
• mechanics
• numbers
• physics
• row
• taylor

[klaberka]

Love your video, and the music in it too :)

Would love to know the tune for sure

[libuntux]

thx for the comment :)

leftfield - snakeblood

[jvboy88]

all i was saying was....wtf?, wtf?, and wtf? to myself over and over.

[Austin101123]

It is, what?

And I'm in 7th Grade and barely understood any of this... Is that good or bad?

[italouruguayricano]

@nahaymath Thanks for the reply, now I'm got into at a PhD in Chemical Physics and taking mathematics for Theoretical Physics which is quite interesting but not at the level I am aiming for. I have somewhere around an article in Popular Science of a French Mathematician who is developing some kind of new geometry and using it in Mathematical Physics. That is the kind of stuff I am interested at this moment.

[nahaymath]

@nahaymath However, I no longer let it upset me, because I know that those harder abstract concepts will "come naturally" as I keep pounding away and making advances in my own particular niche (differential algebra, and applications of game theory & logic to justice).

[nahaymath]

@nahaymath .. a way to group all those uncountably many functions f(x,y), say, which do not blow up on some variety, say, 4*x^2-6*x^7*y+y^4=0, together.

(We call them "regular" functions.)

For 12 agonizing years in math graduate school, I agonized that I could not get what the point of category theory was (beyond the very general notion of it organizing different areas of math in a unified way), or, specifically, how to use it to prove something in math.

[nahaymath]

@italouruguayricano OMG! A fellow BChE who wants to go further into math (either formally or informally). Frankly, after I completed my math PhD, I find the best source to learn this hard abstract stuff to be wikipedia!  I have also found that I learn a lot mostly by endlessly asking myself questions in ordinary "natural human" language first, such as "a stalk of functions" if one keeps reminding oneself that most functions canNOT be given by analytic formulae, so we need..

[flingors]

The last step to break the developping row is not correct and injustificated

[paulio2293]

that statment at the end made NO sense. Isnt easy nor complicated? is that saying it is easy, and complicated?

[BobbyF92]

awesome

[GR1o6180339887498948]

That's a very cool proof and now it's in my favorites @_@