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/sci/ - Science & Math

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11078360 No.11078360 [Reply] [Original]

Any good book to re-learn math/physics from highschool onwards? my goal is to get to the level of a college graduated on math or something but i need to start from basics

>> No.11078362

>>11078360
You’re not going to come even close to accomplishing that.

Check the wiki.

>> No.11078368

>>11078362
most likely, but i still want to try

>> No.11079688
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11079688

>>11078360

>> No.11079858
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>>11079688

>> No.11079863

Pro tip:
Check out high tier ivy league colleges from america or regular universities in Europe. Look trough their courses, for the first semester. Go trough their book recommendations. Maybe find a script for the lecture. Find problem sheets and tests.

>> No.11080622

>>11078360
who dis

>> No.11080691

>>11078362
insecure weakling alert. ignore. you can accomplish that op and it’s actually easier than you think.

>> No.11080768

>>11078360
Don't fall for the meme, stick with what MIT students learn: mit.ocw.edu

>> No.11080789

>>11080622
Lily Ivy

>> No.11081105
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11081105

>>11078360

>> No.11081124

>>11078360
not a book but khanacademy and professor leonard on youtube can get you from algebra through calc 1-3 and differential equation.

>> No.11081151

Nice milkers.

Anyways, to brush up HS math and beyond use Wildberger vids, those Foundations of Mathematics A, and B are worth their weight in gold.

After you're done with that read the "infinite descent" book, and then branch out to calculus, or whatever.

>> No.11081170

>>11081124
khan academy is trash. it takes an eternity to teach you basic shit in an unnecessarily complicated manner, then gives you braindead easy """"practice"""" exercises with a point system to make you feel good.
Leonard is based, he actually explains stuff, makes sure you get it without overcomplicating it, and highlights common pitfalls/mistakes and how to avoid them. don't waste your time with hackacademy, especially the trig and college sections

>> No.11081582
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11081582

>>11078360

>> No.11081888

>>11081582

That Stroustroup book is genuinely trash I don't know why it's gets such a buzz.

Concepts, Techniques, and Models of Computer Programming is the best book currently.

>> No.11082155

>>11078360
For math, I would say...
Precalculus and elementary algebra: Basic Mathematics by Lang, any book by Gelfand, Precalc by Axler.

Proofs: Velleman, Hammack, Polya, I think Axler also has some notes on this.

Calculus: Spivak, Courant, Apostol (he has a more geometric book of a very different flavor as well).

Linear algebra: Axler, Treil, Friedberg and Insel, H&K (later on, after getting some algebra, Roman). For something more applied, look at Strang. For "geometric algebra," check out Macdonald.

Vector calculus: Callahan, Hubbard^2, Fortney, Bressoud, Edwards.

Real Analysis: Pugh, Bartle, Abbott, Zorich, Tao, etc. There are many good books you can choose from here on out, so look around.

Complex Analysis: Palka, Gamelin, Wegert, Needham, etc. There aren't that many books here at an undergrad level, so you may want to check out graduate-level books like Ahlfors, Conway, Lang, Narsimhan, Freitag and Busam, and Remmert.

Algebra: Artin, Vinberg, Dummit and Foote, Fraleigh, Gallian, etc.

Topology: Munkres, Simmons, Croom, Brown, etc.

This should cover a large portion of the undergrad curriculum. From here you can choose whatever topic you want at this level, such as classical geometry (Coxeter, Berger), number theory (Hardy and Wright, Ireland and Rosen), combinatorics, mathematical logic, algebraic topology, differential geometry, differential topology, functional analysis, harmonic analysis, differential equations, complex geometry, ergodic theory, category theory, game theory, Galois theory, graph theory, axiomatic set theory, and some others that don't end with 'theory'

>> No.11082177

>>11082155
Nice list. I majored in math and I remember Artin and Dummit and Foote for algebra and Munkres for Topology. I noticed you left out Rudin for real analysis though. I get why but I still think undergraduates should struggle through it very, very slowly. Once you've worked through it you've practically memorized the thing verbatim. For his more advanced real and complex analysis and functional analysis books I admit there are better options though.

>> No.11082182

What do you guys think of Michel van Biezen?

>> No.11082241

>>11082177
I included it, then deleted it. I agree that students should go through a process of struggle and understanding, but many people leave reading Rudin hating the book and possibly the subject of real analysis. I think reading Rudin by itself and by yourself could be a bad idea because of this, so I would recommend using something like Abbott as a supplement if someone does go that route. And there are more than enough of books here to struggle with.

>> No.11083077
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>>11079688
>>11079858

>> No.11083206

>>11081888

idk anon as a complete beginner to c++ with no prior experience to programming i've learned a whole lot from it. Obviously I don't expect to know everything, just that the book is a good introduction for a completely new beginner

>> No.11083227

>>11082182
good enough

>> No.11083239

>>11082155
>Calculus: Spivak, Courant, Apostol (he has a more geometric book of a very different flavor as well).

What about Larson, Stewart, etc?

>> No.11083362

>>11081105
Lang is a meme.

>> No.11083593
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11083593

>>11082177
>YOU NEED TO POST MY GUY CUZ REEEEEEEE
yeah ok mr. passive agressive.
>>11078360
anything Lang
great goy.
>>11083239
engineer tier shit.

>> No.11085082

>>11083239
I haven't read either of those books, but from what I can see, they aren't as rigorous as the three I mentioned. Granted, calculus books don't need to be that rigorous, but they should help you build mathematical maturity, the ability to understand and integrate increasingly abstract mathematical theorems or proofs. Not to mention, those books are really expensive and go through different editions almost every year with little substantial change. Keep in mind that this is from the perspective of doing mathematics.