/sci/ - Science & Math

[Anonymous No.11679157]

Any guide for starting Math from scratch to advanced ? i found this guide but not sure if its a good one, i prefer very detailed books, something like eulers elements of algebra

[Anonymous No.11679177]

>Any guide for starting Math from scratch to advanced ?

[Anonymous No.11679183]

>>11679177
well not advanced but calc 3, i already have some knowledge but never pushed myself seriously learning math

[Anonymous No.11679244]

Does anybody have a guide for physics?

[Anonymous No.11679253]

>>11679244
Also for computer science and tech

[Anonymous No.11679279]

>>11679244
http://www.staff.science.uu.nl/~gadda001/goodtheorist/
https://www.susanjfowler.com/blog/2016/8/13/so-you-want-to-learn-physics
The first is more complete in subjects.

>>11679157
https://hbpms.blogspot.com/
This is the best I have ever found, I have done a lot of searching. It hasn't been updated since 2012, but undergraduate math education hasn't changed radically since then. The depth is what makes this list. You could take much longer than 4 years here. The author highlights the crucial texts in green, reading just these cover to cover as an abbreviated course will put you ahead of all but the most talented undergraduates at completion. When you inevitably find yourself stuck, use the many supplementary texts listed to deepen your understanding in trouble areas. If you feel you cannot find a sufficiently recent text, a quick search in the subject will find you the latest state of the art.

I hope you are impressed by scale of this curriculum. Good luck.

[Anonymous No.11679293]

>>11679253
https://teachyourselfcs.com/
Computer science (my field) is way to broad to justify the other lists available like https://github.com/ossu/computer-science.. The OSSU curriculum cannot be finished in a lifetime. Believe me, I tried. Use https://teachyourselfcs.com/ to master the foundations, then start researching the subject you find most interesting. There is abundant opportunity in computer science research today. Don't waste your time memorizing every last prior art.

[Anonymous No.11679318]

>>11679279
>>11679293
Some critical thinking is going to pay you fabulously here. Some books you should fly through, some you should chew all the way. Don't try to become an encyclopedia. Let your curiosity decide where to go. You are going to be a much more interesting scientist if you can keep the fire blazing.

[Anonymous No.11679568]

>>11679244

[Anonymous No.11679573]

>>11679253

[Anonymous No.11679580]

>>11679573
shit list

[Anonymous No.11679601]

>>11679279
much thanks for the resources, don't need anymore more to google separates books

[Anonymous No.11679678]

>>11679157
Plus read the sticky

[Anonymous No.11679682]

>>11679580
why?

[Anonymous No.11679696]

>>11679678
i did read but the archives didn't work

[Anonymous No.11679725]

>>11679573
>>11679682
Not the Anon you're replying to, but from my background I know that the Probability choice is inferior to Jacod / Protter's "Probability Essentials".

The Statistics choice is inferior to Rice's "Mathematical Statistics and Data Analysis".

The Linear Algebra choice is inferior to Strang's "Introduction to Linear Algebra".

Based on that, I would probably trust a different list. Any thoughts on pic related?

[Anonymous No.11679733]

Forgot.

[Anonymous No.11679736]

>>11679177
based, fpbp, checked

[Anonymous No.11679774]

>>11679733
>>11679725
Shit list

[Anonymous No.11679866]

>>11679774
post your own

[Anonymous No.11679912]

>>11679157
>>11679177
why did you skip the foundations tho?

[Anonymous No.11679928]

>>11679682
The problem is that there’s too much trivial bullshit in the foundations and not enough math. You need more proofs, calculus, combinatorics, analysis, and probability foundation etc., before doing a lot of these, and you don’t need to take books on applying a fucking programming language. How are you going to tackle analytic combinatorics without any mention of complex analysis and combinatorics (the whole point of the field is to use transfer functions with combinatorial classes to match super complicated structures with LEGO-like pieces as generating functions - you’re not going to understand any of that if you don’t know real or complex analysis)
It’s a shit list because it’s too lacking in actual foundations and the good, hard books on the list have no precedent or lead up. I’ll follow up with a better list in a little while

[Anonymous No.11680212]

>>11679157
Wouldn't recommend going into number theory till you're comfortable with other subjects

[Anonymous No.11680233]

>>11679580
>>11679725
>but from my background I know that
>The Linear Algebra choice is inferior to Strang's "Introduction to Linear Algebra".
Strang's "Introduction to Linear Algebra" is a remedial matrix algebra book. Meyer's book is on par with Strang's more advanced book "Linear Algebra and Applications". I'm guessing your idea of a good book is a easy pleb book.

>Jacod / Protter's "Probability Essentials"
B8 or are you only repeating books you hear recommended a lot and don't understand levels?

[Anonymous No.11680298]

>>11679157
somehow I doubt the author of that guide has actually read all those books. People really underestimate how hard it is to actually read full textbooks, especially without the motivation of a class. You need something less ambitious. Otherwise, you will end up buying a bunch of texts and randomly switching around between them, making your overall progress ridiculously slow. Choose a book to work on in an area your interested in that's not too advanced and stick to it until you feel that it's really time to move on. People don't seem to realize that a lot of books are equivalent and it doesn't really matter whether you're reading the 'best' book, or even the 'best' series of books--what matters is that you're reading.
The math will not diffuse into your brain by having the books on your shelf. I already tried that and it doesn't work.

[Anonymous No.11680300]

>>11679177
>do this list
>try to learn a shit tier list in designed for a time frame that only works if you’re the child prodigy of two Chinese math PhDs
Alternatively:
>google your local good university
>look at their math curriculum
>do that

[Anonymous No.11680314]

>>11680300
this.
Or even more alternatively,
choose a topic you're interested in that's not too advanced based on your background, download an okay book on the subject from libgen (check that solutions exist), and read most of the book and do most of the problems. What matters is that you're doing math every day. This almost matters more than what particular math you're doing, especially if you're not actually in the field.

[Anonymous No.11680357]

>>11680314
>Or even more alternatively,
>choose a topic you're interested
Yeah this is pretty important, I’d probably hang myself if I had to force myself to do one of those meme fields /sci/ spergs out about

[Anonymous No.11680374]

>>11680357
this.
browsing /sci/ will not learn you maths.
You must only do maths.
Also, doing any maths will help you with all maths. You just need to work on the transferable skill of ignoring how complicated everything looks at first, breaking things down into chunks, and thinking about each chunk logically. Do not compare yourself to spergs. Not being a sperg is okay. In fact, it is very likely that not being a sperg is actually better.

[Anonymous No.11680425]

>>11680357
tbqh i don't think self-educated individuals could compete with actual universitary graduates at least in the math field.

im not trying to be pessimistic or something but really, people that do not study mathematics as a career need to work and spend their time in other activities (such as studying for another career for example), if college math students have a rate of failure of +70% (this being: out of every 100 first year students, only 30 do complete the degree, and even less don't repeat a year) i'd say the probabilities of becomming a universitary level mathematician by self discipline are fucking low. let's just admit we will never be actual mathematicians unless we spend our lives doing math.

god i wish i could study math again

[Anonymous No.11680454]

>>11680374
> Do not compare yourself to spergs. Not being a sperg is okay. In fact, it is very likely that not being a sperg is actually better.
cope harder, the ASPERGER man is a higher being than you

[Anonymous No.11680464]

>>11679157
>A taste
>Shitewart
If you like eating shit I guess it will work.
The books of that man are not like math textbooks really. I wish I did not waste my time with his shit. I had to do some other book to use the calculus I learned with his shit to any significant degree when I studied multivariate calc and beyond from some other sources.
It is fine if you wish to stop with it. If not you will waste your time.

[Anonymous No.11680467]

>>11679157
>that 'guide'
Get either
a) Stewart's Calculus
b) Tao's Analysis

As you go through Stewart's book, look up any algebra/trig you forgot on wikipedia or here. Now you don't need those 4 algebra books. Do every exercise until your algebra is the same tier it would have been had you done those 4 other books but instead you completed one book.
You could even do Tao's analysis at the same time as the Stewart book, and now you don't need those 2 proof books. you don't need the 2 set theory books, you don't need that other Real Analysis book since Tao's books is Real Analysis, There I saved you at least 10 books by only reading 2 though you will need those topology books and other things for the rest of Analysis II.

[Anonymous No.11680714]

What do you guys think of this?

[Anonymous No.11680727]

>>11680714
No

[Anonymous No.11680742]

>>11680727
Now you're saying that because of the anime girl or because the texts are bad?

[Anonymous No.11680781]

>>11680714
There is a new version

[Anonymous No.11680810]

>>11680742
To quote another anon:
It's so easy and slow that it completely kills any and all motivation. A person who can genuinely work through that without developing a profound distaste for maths is more impressive than someone who completes Verbitsky.
It's actually kinda distasteful to post it, even as a joke.
>>11680781
Same thing.

[Anonymous No.11680818]

>>11680810
How is that slow? What would a faster version be?

[Anonymous No.11681408]

>>11680818
Not that anon but reading entire books on just set theory or just logic is a waste of time for a beginner. At most, read one book on logic/sets/proofs. I haven't read foundations of analysis, but based on the table of contents, it looks like the first chapter of a typical analysis book stretched out to 100 pages.

A path with better pacing, using the same books in that chart, would be:

>Book of Proof
>Basic Mathematics (really only up to trig)
>Calculus

That's it. Even then, I would replace Lang's book with fucking khan academy or anything similar. Don't need a fancy treatment of basic arithmetic and algebra.

I could only see this being interesting if you already know most of these things, just to see what it's like to build up to calculus one nudge at a time. But even then, well, you already know what's coming so it's still pointless.

[Anonymous No.11681467]

>>11680818
Delete Basic Geometry, synthetic geometry is dead
Delete Foundations of Analysis, it's literally in Enderton for the most part
You don't need 2 precalculus books
Courant&John > Spivak since it has applications(read mathematical physics) and has Fourier and way more material.
Add a book on Ordinary Differential Equations after Calculus and before rigorous LA

[Anonymous No.11681575]

>>11679157
You should really pay for a tutor desu. Think about how much your time is worth compared to paying some guy $40/hr and cutting that time in half. It's not worth agonizing over a math textbook and then having to ask strangers online.

[Anonymous No.11681673]

>>11679912
Why did you post a transparent png?

[Anonymous No.11681952]

>>11681575
>just spend 500$ per month on a tutor bro

[Anonymous No.11682384]

>>11679177
Better quality pic ?

[Anonymous No.11682392]

>>11679157
Start with the Plimpton 322 clay tablet

[Anonymous No.11682440]

>>11679573
You forgot the most important book, retard.

[Anonymous No.11682447]

>>11682440
and the second most important book

[Anonymous No.11682458]

Any middle school guide ?

[Anonymous No.11682901]

>>11681408
This is not good, since you dropped too much material. Obviously it's faster if you drop Algebra and Linear Algebra.

>>11681467
Why delete the optional texts? They don't slow down or speed up the chart at all. I thought you meant that the route that the main texts suggest are slow. Other than that you're just arguing ODE should be added and the calculus text replaced. None of which speed up the chart.

[Anonymous No.11682936]

>>11681673
it's not even mine

[Anonymous No.11683000]

>>11679573

[Anonymous No.11683040]

>>11679682
>Computer Systems A Programmer's Perspective
>Introduction to Modern Cryptography
>Randomized Algorithms
>Approximation Algorithms
>Convex Optimization
>Linear Optimization
>An introduction to the Analysis of Algorithms
>Analytic Combinatorics
>Computational Complexity A Modern Approach
>Computer Graphics Principles and Practice
>Elements Information Theory
>Introduction to Distributed Algorithms
>Types and Programming Languages
>Engineering a Compiler
These are the only ones worth something, everything else is either an inferior version of other book or something you don't need like fucking design patterns or databases.

[Anonymous No.11683215]

>>11681952
>$500/month
For an hour or 2 on the weekends I would charge about $150/month. When you think about how much you're going to end up spending on textbooks, and how much time and struggle it'll be saving you, is that really such a bad deal?

[Anonymous No.11683222]

>>11683215
>>11681952
For one thing, you'll get free access to my textbook pdf library of books, not stupid shit 4chan is recommending and having you waste money on.

[Anonymous No.11683240]

>>11683215
>>11683222
>spending money on textbooks
I have never spent money on textbooks. Any textbook worth reading has been scanned into pdf by someone

[Anonymous No.11683282]

>>11683240
>not sitting in a comfy chair reading a physical book and scribbling down your thoughts
pleb

[Anonymous No.11683291]

>>11683240
Then why are you here? Just posting your shitty guide when you already have all your textbooks.

[Anonymous No.11683472]

>>11682440
That high school level survey is only good if you want to get a feel of cs.

[Anonymous No.11683483]

>>11683040
>an inferior version of other book or something you don't need like fucking design patterns or databases

But those are the only books that get you a job :^)

[Anonymous No.11683485]

>>11682458

[Anonymous No.11683529]

>>11682901
I'm >>11681408
I was referring to the original chart >>11680714
The second one (>>11680781) is better. Again, using only what's on the chart, I would do

>Basic Mathematics
>Book of Proof
>Calculus
>Linear Algebra
>Abstract Algebra

So basically cut Principles of Mathematics from the main sequence and replace it with Book of Proof.

The quality of the books themselves are another story. Personally I don't like Spivak and older books like Shilov bore me. But in terms of content, that's a good track to follow for a beginner wanting to get into pure math. Pick up some college sylllabi to pick out the main chapters to go through and this could be done in a year.

[Anonymous No.11683583]

>>11683485
ahem maybe...
more... mature ? regular ? classic ?

[Anonymous No.11683585]

>>11683485
Are these good or is this trolling ?

[Anonymous No.11683972]

>>11682440
>SICP

literally pseudo intellectual pretentious garbage written by two academics who have zero intuition for how an actual computer program works and should be written.

only people who recommend that are pseuds who have never made anything in their life.

[Anonymous No.11683981]

>>11683972
go back to your discord and dilate, tranny

[Anonymous No.11683987]

>>11683583
>more... mature ? regular ? classic ?
You asked for Middle school books, did you not?

[Anonymous No.11684268]

>>11683987
yeah, i guess...

[Anonymous No.11684514]

>>11683222
Why dont you share the books with us?

[Anonymous No.11684559]

>>11683485

[Anonymous No.11685169]

Basic Math:

- Precalculus Chapter 0 - Stitz/Zeager (for elementar algebra review)

- Fundamentos de Matemática Elemntar - Iezzi (brazilian series of books the covers all of high-school math [Sets, Functions, Trig, Log, Plain Geometry, Spatial Geometry, Analytical Geometry, Basic Calculus, Sequences, Matrix, Probability and Combinatorics] with some rigor level, I didn't really found any good english books that does as good coverage as Iezzi does for all those topics at pre-college level)

- Problem Solving Through Problems - Larson (for problem solving training)

- How To Prove It - Velleman

- Calculus - Spivak (seems to be the best one-variable calculus book, and the rigor level seems to do wonders for the brain juice of those that ventor on it)

14 books.

Undergrad Math:

- Naive Set Theory - Halmos

- A Mathematical Introduction to Logic - Enderton

- Topics in Algebra - Herstein

- Linear Algebra/Multilinear Algebra - Greub

- A Classical Introduction to Modern Number Theory - Ireland

- Concrete Mathematics for CS - Knuth

- Principles of mathematical analysis - Rudin

- Real and Abstract Analysis - Hewitt

- Calculus on manifolds - Spivak

- Real and Abstract Analysis - Rudin

- Ordinary Differential Equations - Arnol'd

- General Topology - Willard

- Differential Topology - Guillemin

- Geometry Euclid and Beyond - Hartshorne

- Introduction to Partial Differential Equations - Olver

- Hypercomplex Numbers - Kantor

- The Geometry of Minkowski Space - Naber

- All of Statistics - Wasserman

- Introduction to Probability Theory - Feller

19 books.

[Anonymous No.11685174]

>>11685169

Computer Science:

- Introduction to the Theory of Computation - Sipser

- Algorithm Design Manual - Skiena

- TAOCP - Donald Knuth (at least the three first ones)

- Computational Complexity - Arora

- Game Theory - Ferguson

- Modern Control Engineering - Ogata

- Category Theory - Awodey

- Graph Theory - Bondy

- Operations Research Applications and Algorithms - Winston

- Introduction to Modern Cryptography - Katz

12 books.

Those undergrad books was choosen based on Christopher Jeris's math bibliography sugestions (available online) and Casey Muratori's Math overview for game programming (Handmade Hero 041 video), I'm going to complement them with the "local good" university curriculum (University of São Paulo's Bachelor of Mathematics and Bachelor of Computer Science syllabus) as my studies progress and new needs appear.

After that I'll start to pick up the Graphics Programming (my main goal) specific stuff, as well the required Physics books for complement what I will need to learn.

Yeap, 45 books total. With luck, this probailily will take 3~4 years to complete, but I'm all in for it. Any suggestion, tips or whatever?

[Anonymous No.11685409]

>>11679157
>>11679177
>>11679568
>>11679573
Retards

OP, just look at the standard math curriculum for high school, after that, look at at the degree plan for a math bachelors and follow all that in order

[Anonymous No.11685791]

>>11685174
>Any suggestion, tips or whatever?
sipser is really easy, just go through it to get through basic computability. You will likely need more experience with calculus (Rogawaski's book is pretty alright for applications and basics) given you want to do graphics.
Also, do more differential geometry and focus hard on your linear algebra and physics given that you want to learn how to do graphics.

[Anonymous No.11685813]

>>11685174
>- TAOCP - Donald Knuth (at least the three first ones)
look I like TAOCP, but it's more an archive of knowledge than just straight textbook instruction that you would want. Go on professor webpages for past courses in advanced algorithms and their analysis instead. You will likely want way more books / courses in CS to work in graphics as well.
- MIT listings for data structures (not hard but essential foundation)
- more than just first semester calculus. you will need a really good understanding of vector calculus and differentials
- the differentials in turn are used because there is a ton of relevant physics you will need to know
- applications of graph algorithms
- combinatorics
- optimization theory
- differential geometry
- numerical analysis (with practical implementations too)
- signal processing and sampling
- computational geometry

Everything I'm suggesting is basically an addition to this shortlist on getting into graphics:
https://www.cc.gatech.edu/~turk/math_gr.html

[Anonymous No.11686261]

does /sci/ have something similar to engineering, I'm after high school and want to go next year to uni
now i just work
any guides to lego engineering, like clocks so i could understand mechanics better?

[Anonymous No.11686593]

>>11683485
Tried reading the calculus one a few years back. Maybe I'm an absolute brainlet but I found it hard to understand.

[Anonymous No.11686639]

>>11686261
you must be 18 or older to post

[Anonymous No.11686651]

>>11684514
>tutor
I have access to anything and everything published by Springer

[Anonymous No.11686737]

>>11686261
Any book by Henry Petroski, Samuel C. Florman, J. E. Gordon

[Anonymous No.11686893]

>>11685791
>>11685813

Thank you, anon. I did some modifications on the list based on your suggestions.

[Anonymous No.11688407]

>>11680454
DAS RITE!

The ASPERGER man is the epitome of male intelligence and tenacity.
Let's start by looking at his brain. His brain is large. His domineering intelligence makes his
presence known without his research papers known without even needing citations. He is
a genius, as a result of his high levels of prenatal testosterone and pyramidal neurons I his
somatosensory cortex, CA1 region of the hippocampus and embryonic GABAergic neurons
in the midbrain. This gives him the appearance of class and brains. He is then covered by his
pale skin. This pales skin reminds us of his ruggedness, a feature that developed due to being
exposed to the cold darkness of his mother's basement, made to withstand such an extreme
condition. It also has a psychological effect on the observer. The pale skin reminds us of our
dark, deep desires that emerge from our primal subconscious past.
The ASPERGER man's demeanor is one of aloofness. He is asocial, shy, and can shoot up
schools. His behaviour strikes fear into the mindless, passionless races of man(n**Rotypical
dogs)
The summit of expression of his intelligence is his IQ. The ASPERGER brain is largest of all
the races. As the brain is the penultimate symbol of intelligence, this alone would suffice to
make the ASPERGER man the most intelligent of men. This large brain is able fulfill the desire
of the most rigorous real analysis courses, being able to more than fill all the recesses of
the maxima of wave functions. Its size ensures that when it proves a conjecture, the potent
ASPERGER intelligence will immediately enter the pure maths department at MIT and stun all the professors.
In total, the ASPERGER man expresses this intelligence in a most exemplary manner in
academia. When he proves previously unsolvable conjectures, he unleashes the entirety of his
special interests and desires upon his professor without any restraint.
All this is the reason why the ASPERGER man is the epitome of intelligence and tentacity.

[Anonymous No.11688737]

>>11686737
thanks

[Anonymous No.11689053]

>>11679157
Linear Algebra Done Right is probably the worst recommendation if you're just starting out with it.
First off, it uses weird notation, very wordy which makes it more suited for someone who wants to relearn the subject.
It's not suited for either what linalg 1 or 2 course will show you (it misses out on parts that a linalg 2 course contains, at least in Europe). It explains the concepts in a nice and different way, which makes it a great book to read on the side or if you want a different view point on the subject. But definitely not to learn it.

Lang is a meme, don't spend time on 4 books + Lang on stuff you might as well learn on Khan Academy (+ putting the Khan guy on 2x speed if you need videos).

Imo a good Analysis 1 book can make calculus books unneccessary. A pretty funny one is "Real Analysis: A Long-Form Mathematics Textbook", but there are so many good choices you just gotta figure out which ones you like.

Do you really need a book on set theory? Every second undergrad book has an intro to what you need from set theory in it anyway.

Book of Proof is nice, but the newer editions later chapters only really useful if you at least have calculus knowledge. It's cheap and a nice read though (pdf free I think?). It also has a short intro to set theory.

If you want textbooks I'd recommend checking out the suggestions that some course catalogs have. You can often find scripts, exams and problem sets on uni websites.

[Anonymous No.11690115]

>>11683485
Based.

[Anonymous No.11691719]

>>11679573
>Taking Care of Myself
Kek'd

[Anonymous No.11692497]

>>11680781
unironically reading Landau's Analysis in German right now, the first 30 pages are induction proofs and I just got to cuts

[Anonymous No.11693601]

>>11692497
The whole book is just "definition - theorem - proof" style. It's nice for a bathroom reading, though.

[Anonymous No.11694144]

>>11693601
gets repetitive as fuck but my German is conversational, so it's a great chance to pick up mathematical vocabulary