[ 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.

/lit/ - Literature


View post   

File: 44 KB, 256x240, Vitruvius.jpg [View same] [iqdb] [saucenao] [google]
14147910 No.14147910 [Reply] [Original]

I know nothing on these subjects save their base tenants. I am particularly interested in their aesthetic relation.

A post explanation would be appreciated also.

>> No.14147951

>>14147910
General mathematics also.

>> No.14148197
File: 9 KB, 200x155, Pepe wondering.png [View same] [iqdb] [saucenao] [google]
14148197

Why no one reply? Dis a interesting bread.

>> No.14148215

>>14148197
bc half the posters here are retarded commies and the other 49% are based but actually here for LITERATURE

im sure the 1% based mathfags will see this if we keep it bumped, I’m interested as well

>> No.14148287

>>14148215
But I'm not interested in the purely dry mathematical abstract sense, mainly just its aesthetic relation such as in Vitruvius' writings. The mathematics alone I am only interested in so so far as it acts as some basis for the aesthetic.

>> No.14148295

Euclid's Elements for geometry
Medieval Arabs for algebra
Newton for calculus

>> No.14148331

>>14147910
Start with the Greeks (Euclid), skip the Anglos and continue with the Germans and French.
There is a fully pictured version of Euclid's elements, which is quite great from an aesthetic standpoint.

But in all seriousness, if you are interested in just learning the subject just get one of the classic works in your own language.
There are some historical milestone, set by people like Cauchy and Euler, who were really great mathematicians, but thought in different terms than modern mathematics, you can read their textbooks if you want more "aesthetics".

>> No.14148332

>>14148287

Math is its own language and grammar. Before you can appreciate its poetry, you have to learn the language. But there are many books that talk about math without having to do much actual math:
"How not to be Wrong: the Power of Mathematical Thinking" Ellenberg
"The Moment of Proof: Mathematical Epiphanies" Benson
"Five more golden rules" Casti

>> No.14148345

>>14147910
MAN IS THE MEASURE OF ALL TINGS

>> No.14148372

>>14148345
Is man sigma additive?

>> No.14148469

>>14148331
Will do anon, guess I just have to finish Aristotle and then I can move onto the Roman period.

Have read the entirety of the presocratic's, Plato and nearly all major artistic works. Aristotle's the only one to go.

>> No.14148476

>>14148332
They all sound very specific, almost /sci/ tier. Are any of them just broad but good introductions to this subject? What I mean is maybe even something like a textbook, just not something that spoils the fascination one has with reading these old texts such as by Vitruvius or Euclid.

>> No.14148480

>>14148345
Wouldn't it be better to say man is the measure of all things knowable, and so essentially all things?

You know Heidegger's belief of man being time, being = time.

>>14148372
Am Op and not the guy you are responding to, but what? I am confused to what you mean.

>> No.14148513

>>14147910
OP, visit Project Euler. You will learn mathematics gradually as you work your way through the problems.

>> No.14148583

>>14148513
Quick rundown?

T. Op

>> No.14148718

Well?

>> No.14148729

Not a book but Khan Academy. Also read some books about perspective (De pinctura or so. Take a look at the "perspective" Wikipedia page)

>> No.14148747

>>14148729
link?

>> No.14148794

>>14147910
>algebra
Bourbaki, Bourbaki, more Bourbaki. There is just no competition there.
>calculus
Whitakker's course of modern analysis.
Also Bourbaki.
Markushevich for complex analysis.
>geometry
Start with the Greeks.

>> No.14148896

>>14148794
Cheers anon, any further advancement of geometry such as in the renaissance?

>> No.14148937

>>14148794
>>geometry
>Start with the Greeks.

More precisely, start with Euclid and Apollonius.

>> No.14148977

>>14148937
Quick rundown on Appollonius anon?

>> No.14148984
File: 3.07 MB, 776x5164, Mathematics, Guide to Starting.png [View same] [iqdb] [saucenao] [google]
14148984

>>14147910

>> No.14149012
File: 3.60 MB, 600x405, ezgif-6-0fe7acc56c69.gif [View same] [iqdb] [saucenao] [google]
14149012

>>14148977
Apollonius of Perga was a great Greek mathematician who stood out especially in geometry. He wrote a magnificent treatise called Conics of which seven of the eight books survive. This treatise about the conic sections was so complete that centuries had to pass before something new could be added on the subject. He proves many beautiful facts about conics, there are over 400 propositions in his books.

>> No.14149021

>>14148984
Lang is a meme.

>> No.14149030

>>14148984
not American here, what does "starting mathematics" even mean? in my country you're supposed to know shit like basic calculus and linear algebra i
once you've graduated high school, does American education system seriously fuck students so much so that they have to learn this stuff by themselves?

>> No.14149100

>>14149030
I don't get it either. America treats calculus as this subject of legendary, impossibly to comprehend difficulty.

>> No.14149112

>>14147910
Everybody in this thread is giving you troll advice. Go with either Precalculus by Axler (paid) or Precalculus with Stitz (free). Supplement with Khan Academy if lost, but don’t be afraid to struggle. That’ll give you everything you need to tackle calculus.

>> No.14149173

>>14148984
Can someone explain to me the basic postulates of this?

>> No.14149181

>>14149012
>Conics
Wow sounds pretty amazing. Do you see the world in this mathematical understanding?

>> No.14149183

>>14149112
Cheers anon, will do.

>> No.14149231

>>14148984
I contend that Rudin is STILL worth reading for a first timr through real analysis. Yes I KNOW the memes and I know it is fucking hard. But it will teach you to read extremely slowly and ponder what you've read. When you finish you will feel loke you've actually accomplished something and can move into Real and Comolex Analysis or go study topology or whatever you want.

>> No.14149246

>>14148896
Geometry had two high points: hellenistic empires and 17th-19th century (in France mainly but also Germany). Everything else is memetic including the renaissance.
Pure geometry was victim of its early 19th century success where it realized leibniz ideas of geometrical analysis. It thus became an offshoot of highly enough developed algebra and is not really an active field anymore.

>> No.14149337

>>14149246
>Pure geometry was victim of its early 19th century success where it realized leibniz ideas of geometrical analysis. It thus became an offshoot of highly enough developed algebra and is not really an active field anymore.
I don't understand how this happened, could you explain?

Your insight already has been extremely helpful anon.

>> No.14149394

>>14148480
>I am confused to what you mean.
There is a mathematical object called "measure" which can have the property of being sigma additive.

>> No.14149407

>>14149394
>sigma additive
?

>> No.14149480

>>14149407
sigma balls nerd

>> No.14149606
File: 66 KB, 720x663, suicidal pepe.jpg [View same] [iqdb] [saucenao] [google]
14149606

>>14149480
oh fug

>> No.14149638

Thanks for the thread, OP.
And thread for the recs, anons.
Please keep going.

>> No.14149650
File: 28 KB, 1027x731, succeeded tard pepe.png [View same] [iqdb] [saucenao] [google]
14149650

>>14149638
Welcome anon, makes me happy I both get teach something new and beautiful but you frens tooo.

>> No.14149671

>>14149650
What are your posts, so that i can check your recs. Some here seem to be meme-recs

>> No.14149686

>>14149671
I'm the Op, I gave no recs.

>> No.14149695

>>14149686
oh, you meant taught, not teach

>> No.14149712

>>14149695
Engish not too well.

>> No.14150293

>>14149030
My high school split up algebra into two classes for students who had trouble grasping it, like me