[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 302 KB, 856x1280, 1552509769349.jpg [View same] [iqdb] [saucenao] [google]
11455153 No.11455153 [Reply] [Original]

I often hear about the beauty of mathematics and I'd like to experience that for myself.
However I don't know much about actual math. I have the basics covered (calculus, differentials, the fundamentals of real analysis...) but I don't know anything about topology, advanced real and complex analysis, etc.
I'm not interested in becoming a mathematician, or even becoming good at math, I simply want to see for myself what this "beauty" is and become able to understand advanced concepts, at least the gist of them.
What is a good way to achieve this?

>> No.11455158

>>11455153
Watch numberphile videos or other stuff on YouTube. Read books about "beautiful" things. You will never truly grasp the beauty however, unless you really get down and dirty with it.

>> No.11455164

>>11455153
Number Theory, my favourite topic, is so interesting to me because it reveals properties in numbers which make you amazed, when you come across neat theorems It just leaves you in awe at how numbers can behave.

>> No.11455184
File: 1.37 MB, 1140x4777, official mg curriculum.png [View same] [iqdb] [saucenao] [google]
11455184

>>11455153
>What is a good way to achieve this?

>> No.11455187

>>11455184
I'd recommend anything by Springer Undergraduate Mathematics Series. You can literally go from high-school level to completion of undergrad maths using those books.

>> No.11455188

>>11455164
This. And number theory has been one of the primary motivations for the advancement of all branches of mathematics, from modern algebra to complex analysis.

>> No.11455227
File: 320 KB, 572x907, manin.png [View same] [iqdb] [saucenao] [google]
11455227

>>11455153
BOY do I have just the right book for you!

>> No.11455609
File: 29 KB, 309x400, objeto matemático 2 1934.jpg [View same] [iqdb] [saucenao] [google]
11455609

>>11455153
Visualization helps a lot. You could look up proofs without words. Also, this channel does some neat animations.
https://youtu.be/re3Xh74M8g0