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Anonymous Sun 12 Apr 04:27:10 2020 No.11556486 View Reply Original Report

Quoted By: >>11556621 >>11556711 >>11557282 >>11558075 >>11558650 >>11558673 >>11558719 >>11558728 >>11559400

Hi anons, i want to study one of these degrees: Math, Computer science, Physics. I always had interest on those subjects since high school, but fell for the engineering meme and wasted 3 years of my life studying Electronic engineering.
To take my decision i will take a look at some introductory books:
Computer Science: Programming: Principles and Practice Using C++ by Stroustrup
Physics: The Feynman lectures on physics
Math: What Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant and Herbert Robbins, Concepts of Modern Mathematics by Ian Stewart, Groups and Their Graphs by Grossman and Magnus.
Is this list good? i know that not a single book will magically tell me wich path to take,but i would appreciate some opinions and recommendations (specially in CS).

Anonymous

Anonymous Sun 12 Apr 2020 05:50:22 No.11556621 Report

Quoted By:

>>11556486
Please respond :(

Anonymous

Anonymous Sun 12 Apr 2020 06:27:19 No.11556711 Report

Quoted By:

>>11556486
u should already know why nobody took the bait

Anonymous

Anonymous Sun 12 Apr 2020 12:48:54 No.11557282 Report

Quoted By: >>11558061 >>11559934

>>11556486
EE is actually good. CS is a complete meme.
Physics or Math are good majors.

Anonymous

Anonymous Sun 12 Apr 2020 17:17:58 No.11558061 Report

Quoted By:

>>11557282
>this good, this bad.
elaborate then faggot. or are you just repeating what /sci/ says without any critical thought?

Anonymous

Anonymous Sun 12 Apr 2020 17:21:24 No.11558075 Report

Quoted By: >>11558271

>>11556486
Given your choice of meme, it seems you would be better at
>PolySci
Fagget

Anonymous

Anonymous Sun 12 Apr 2020 18:10:36 No.11558271 Report

Quoted By:

>>11558075
>Can't read
Stop looking at the meme faggot it's not even related with what I wrote

Anonymous

Anonymous Sun 12 Apr 2020 20:28:49 No.11558650 Report

Quoted By: >>11558673 >>11558719 >>11558728 >>11559069

>>11556486
>Computer Science: Programming: Principles and Practice Using C++ by Stroustrup
This is not a computer science book
>Math: What Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant and Herbert Robbins, Concepts of Modern Mathematics by Ian Stewart, Groups and Their Graphs by Grossman and Magnus.
Only the last one approaches being a math textbook

For math, this is a good primer but is in no way conclusive:

>Calc 1 to vector calc
Stewart / Rogawowski / Spivak / <your favorite book here>. Very standard, you should be able to find stuff online. Differential equations have their own separate books, but I wouldn't take those too seriously until you have more analysis under your belt. Still, go through George Simmons's differential equations with applications and historical notes after analysis to see how powerful DE's is.
>introductory proof mathematics
Book of proof, how to solve it by polya. Watch lectures from MIT OCW - the key here is to solve lots of interesting problems more than anything
>introductory linear algebra
use standard Friedman / axler / <favorite proof based linear algebra text>. Linear algebra is the basis (kek) of so much you'll use in every stem subject, proof based and calculation alike. Pay close attention to linear operators, rank-nullity, Cayley-hamilton, Jordan canonical form, inner product spaces, etc..
>analysis
Do most of Understanding analysis by Abbott to get some understanding of analysis on the reals up to differentiation. Then swap to baby Rudin, construct the reals, go through metric space topology, do the exercises up to differentiation, and do chapter 6 on Reimann integration. Then switch to Folland for introductory measure theory (chapters 0 - 2) and then switch to papa Rudin for the rest. Honestly, for just introduction, follow the above up to Riemann integration.
>algebra
artin up to ring theory to get a small taste of algebra, but alg goes on forever and ever, maybe cover Galois too

Anonymous

Anonymous Sun 12 Apr 2020 20:40:36 No.11558673 Report

Quoted By: >>11558719 >>11558728 >>11559069

>>11556486
>>11558650
(Cont)
I've intentionally left out a lot topics out of the math list since these are things that you want to tackle "on the CS" list to get an environment where it's both motivated and studied extensively. So about that:

>introductory programming
not "CS" but important to know. Knowing a language from each of the big paradigms is good. Learn Python, C, Java / C# / cpp / <insert favorite oop here>, lisp, sql, etc. for your own benefit. The rest will come from just experience
>calculus, linear algebra, proof mathematics, algebra
see my post (>>11558650). Go through DE's later - they'll help you in more esoteric applications once you have your theory chops - but focus on calc 1 - 3, linear, and abstract algebra. These are indispensable. Also go through Knuth's Concrete mathematics after introductory proofs - it'll take your technique off the charts.
>physics
use webpages / lectures for a year of mechanics and at least one semester of basic E&M theory. try to watch videos of labs or audit some labs too. Standard university physics is fine for the basics if dry, but I'm not focusing on going into deeper physics in this list.
>data structures
do this after introductory proof math. Just use MIT OCW and Berkeley / Stanford professor webpages. Practice induction by proving all the results by yourself.
>computer architecture
Berkeley, MIT OCW, Stanford, and CMU all have good webpages / resources for hardware, numerical rep., circuits / switching theory, caching, asm, etc. PROJECTS ARE IMPORTANT HERE.
>introductory algorithms
CLRS is a good primer, not difficult. Review analysis to do harder series for recurrences and harder runtime classifications. Reading generatingfunctionology as well, which should help your analysis of algorithms. Professor web pages here are always good. Not gonna say more since advanced algorithms commands way more mathematical maturity later on.
(cont)

Anonymous

Anonymous Sun 12 Apr 2020 20:56:11 No.11558719 Report

Quoted By: >>11558728 >>11558741 >>11559069

>>11556486
>>11558650
>>11558673
(cont)
>systems programming and operating systems
computer systems: a programmer's perspective is the standard book for every student out there learning systems, engineering or non engineering. As for operating systems, look for slides. Follow these projects:
https://cs.jhu.edu/~huang/cs318/fall17/project/guide.html
which basically guide you in constructing an operating system from scratch. A lot of this field is understanding design and tradeoffs, interfacing with your hardware, harsh debugging, etc etc. It's one of the big intersections with EE / CE, and a small description can't do it justice. You might want to look into embedded, networking, and signal processing if you like this field. Also read this free book on the topic:
http://pages.cs.wisc.edu/~remzi/OSTEP/
I found a lot of use out of this at the undergrad level.
>introductory theoretical CS
try and fly through sipser on computability theory (which is really super easy). If you want something harder and more interesting, read this after some logic. Speaking of:
>logic
Shoenfield is great. Manin is also good. Kleene (one of the fathers of CS) has a book on metamathematics which is also good but I haven't read through a lot of it.
>combinatorics
Concrete mathematics (seen above) and Riordan's book are good. Do Lovasz's combinatorial problems and exercises as well - they're ridiculously good. For analytic combinatorics...well, the gold standard is still Sedgewick / Flajolet
>graph theory
Diestel and Ballobas are the best introductory graph theory books I've ever read. Very good, and tons of connections to other fields, from natural science to engineering. They're hard - tackle after introductory proofs, logic, and algebra.
>number theory
Burton for elementary, (maybe) Rosen for problems. Then do Apostol for analytic.
(cont)

Anonymous

Anonymous Sun 12 Apr 2020 21:01:07 No.11558728 Report

Quoted By: >>11558733 >>11559069

>>11556486
>>11558650
>>11558673
>>11558719
(cont)
>language theory and compilers
programming language pragmatics and these slides
https://www.cs.rutgers.edu/courses/314/classes/spring_2018_zhang/
for compilers, the dragon book is still good but still dry as hell. Here's a good list of (practical) compilers resources:
https://github.com/aalhour/awesome-compilers#books

There's so much shit I left out, and this is only the *basics.* With math, it's easier to list out since the knowledge is collected in books pretty neatly. That, and the knowledge has been put into well made pedagogy since it's been around for so long. For CS, you have to hunt around different topics, webpages, and papers to get the essence of the work in the field. Feel free to ask if there's anything else you want out of this list. I didn't cover ML, optimization theory, advanced algorithms and TCS, robotics, signal processing, graphics and visualization, compiler theory, type theories, domain theory, communication complexity, etc..

Anonymous

Anonymous Sun 12 Apr 2020 21:02:29 No.11558733 Report

Quoted By: >>11559069

>>11558728
Oh, also on the math side, I left out topology (munkres and willard are my favorite intro / point set topology books), and algebraic studies of fields (algebraic topology, algebraic geometry, etc). Those are not really basic and will come later as well.

Anonymous

Anonymous Sun 12 Apr 2020 21:04:33 No.11558741 Report

Quoted By: >>11559069

>>11558719
>If you want something harder and more interesting, read this after some logic.
meant to link to this:
https://faculty.math.illinois.edu/~vddries/recursion.pdf

Anonymous

Anonymous Sun 12 Apr 2020 23:13:05 No.11559069 Report

Quoted By:

>>11558650
>>11558673
>>11558719
>>11558728
>>11558733
>>11558741
This is all good but given this is /sci/ they’ll ignore it and shitpost

Anonymous

Anonymous Mon 13 Apr 2020 01:15:25 No.11559400 Report

Quoted By: >>11559485

>>11556486
Are you annoyed by physics approximations and overall abuse of mathematics? You like proofs? Maybe you'd like math then.

Anonymous

Anonymous Mon 13 Apr 2020 01:48:46 No.11559485 Report

Quoted By:

>>11559400
Physics in undergrad barely touches anything past calculus and basic linear algebra and basic group theory. Rigor isn’t their concern lol

Anonymous

Anonymous Mon 13 Apr 2020 05:27:33 No.11559934 Report

Quoted By:

>>11557282
Depends on what you want to work with. Odds are a lot of stuff in it will be completely useless for you.

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