/sci/ - Science & Math

[Anonymous No.12262642]

EE here. I’m trying to build up my pure math knowledge so I can understand the rigorous foundations of signal processing. In particular, the Laplace Transform and related concepts. Here’s what I am thinking: linear algebra (Shilov’s), real analysis (Tao), complex analysis, and functional analysis. Should I learns some rigorous ODE and PDE? Any help or advice would be appreciated.

[Anonymous No.12262805]

Everything altogether? Which first?

[Anonymous No.12262808]

>>12262642
Try to get up to the level of Evans PDE"s and Stein and Shakarchi's fourier analysis book. Your plan seems solid but Shilov fucking sucks for lin alg. If you're a fast learner use Hoffman and Kunze and Lax, if you're mentally handicapped try Axler.

[Anonymous No.12262809]

>EE here
Sounds like what you mean is someone in school majoring in EE. My suggestion is graduate, get a job, and learn skills that are actually pertinent to what you are working on. Also, refrain from calling yourself an EE until it says that on your paycheck.

[Anonymous No.12262826]

>>12262805
First LA and real analysis, then complex analysis and maybe ODE and PDE if needed.

>>12262808
Would Shilov’s be okay for an engineering student? I don’t plan on going to grad school. I just wanna be a local engineer and make a living, this is for my own understanding.

>>12262809
Fair enough my friend. I should have specified I’m a senior in undergrad EE. This is just for my own understanding, my plan is to graduate and get a job locally.

[Anonymous No.12262832]

>>12262826
>Would Shilov’s be okay for an engineering student?
Yes, it's just extremely boring and poorly written. If you only care about the computational aspects of all of this then you are going to want to acquire an applied lin alg text like strang; an applied fourier analysis book for enginiggers; a "complex variables" text; and an applied functional analysis textbook like Kreyszig's

[Anonymous No.12262843]

>>12262832
I appreciate it. I’m ok with boring and I got Shilov’s for like $17 so I guess I’ll deal with it lol. Thanks for the input.

[Anonymous No.12262849]

>>12262843
ideally you should have 3 books (pdfs) when you're trying to learn something new... it's useful to cross check stuff if you're confused or when reviewing. i would suggest adding hoffman & kunze and axler

[Anonymous No.12262854]

>>12262843
bro use libgen ffs don't pay for books unless you really don't like ebooks to the point that it would interfere with your learning
>>12262849
Lax not Axler, H&K covers the fundamentals including things Axler neglects while still giving you some computational competence, Lax gives you a much more integrated and abstract look at lin alg so that you can jump to functional analysis.

[Anonymous No.12262855]

>>12262826
I used shilov out of highschool so you should be fine. After you get past the first chapter on determinants everything should be easy. Just reread until you understand it.

[Anonymous No.12262888]

>>12262849
>>12262854
My friends I’m an old fashion Heaviside nigger and I like books. But I will take your advice into consideration.

>>12262855
Sounds good man. I think Shilov’s will serve me well.

[Anonymous No.12263016]

>>12262642
>understand the rigorous foundations of signal processing
I got you senpai
https://www.youtube.com/playlist?list=PL41692B571DD0AF9B

Also an anon said to start Tao at chapter 5 since the first 4 chapters are somewhat trivial.

[Anonymous No.12264547]

>>12263016
Thanks man. I think I’ll read the first four chapters anyway just to get used to writing proofs because my math education so far is just elementary algebra and calculus with some ODE.

[Anonymous No.12265649]

>>12262642
Bump

[Anonymous No.12265663]

>>12264547
Do it. It can get kind of annoying, but it's ultimately rewarding t build the real numbers from scratch.

[Anonymous No.12265703]

Maybe it's just because I'm old, but I've never been able to just learn for the sake of learning, plus it's time you can spend working on a project you can actually use to help get a job. Build your own beam forming radar software, should cover all the math you want to learn.

[Anonymous No.12266080]

>>12265703
I like learning and studying math by myself but I fucking hate college and doing homework and exams.

[Anonymous No.12266980]

>>12262642
BUMP NIGGA

[Anonymous No.12266990]

>>12262809
Good post. Focus on your livelihood before you go around learning math you're interested in.

[Anonymous No.12267009]

>>12262642
Carl Bender for differential equations
Strogatz if you are a baby

[Anonymous No.12267303]

>>12262642
Don't forget to code on the way, and share the code.

[Anonymous No.12268191]

>>12262642
PDEs are crucial for signal processing

[Anonymous No.12268498]

>>12267303
I don’t want to code my nigga I want to be an EE

[Anonymous No.12268906]

>>12268191
>another subject I have to learn
So what you’re saying anon is that I should learn PDE?

[Anonymous No.12269207]

>>12268906
that should have been on your list regardless

[Anonymous No.12270823]

>>12269207
Ok

[Anonymous No.12271174]

>>12262642
You need measure theory and topology before taking on fun anal

[Anonymous No.12271197]

EE that took complex analysis here
It was okay. It wasn't that relevant to be honest. The only really relevant part was Cauchy's argument principle for understanding Nyquist stability criterion, and maybe some of the understanding around inverse laplace transforms. Both of these results you can easily take as axioms for application in EE.

Honestly there is already a shitload of complex concepts in electronics that you'd be way better off mastering before moving onto mathematics. I don't think many people finish undergraduate from electronics with a thorough understanding of feedback networks, so that would be a really good place to start.

[Anonymous No.12271829]

>>12271197
Thanks fren

[Anonymous No.12272704]

>>12271174
Why’s that?

[Anonymous No.12273238]

>>12271197
>I don't think many people finish undergraduate from electronics with a thorough understanding of feedback networks
This is unfortunately true. Undergraduate programs need to do a better job emphasizing the importance of feedback. I have an electronics 2 professor who did a good job stressing just how important the concept of feedback really is, and before that I just thought of it as something we use with op amps to control gain. Thanks for your input by the way.

[Anonymous No.12273823]

>>12267009
Is Bender a Jew?

[Anonymous No.12274148]

>>12262642
Bump

[Anonymous No.12275851]

>>12274148
Bump

[Anonymous No.12277272]

>>12262809
someone didn't get into grad school and needs to project

[Anonymous No.12278688]

>>12262642
Dude, just read the sticky. There are loads of booklists

[Anonymous No.12278817]

>>12278688
DUBS
is there one about how to get into maths if you'rre a retard like myself ?

[Anonymous No.12278954]

>>12278817

[Anonymous No.12279019]

>>12262888
shilov sucks, all his proofs are obsufucated and hard to understand because they are poorly explained. Please get a good standard linear algebra book like strang or Lang.

[Anonymous No.12279661]

>>12262642
Are you a grad student? If no, then unless you're a genius, just focus on your own undergrad. It's not going to seem as exciting as the more advanced maths, but you need to do a lot of practice since EE is pretentious as fuck when it comes to exam.

Basically, you should be able to perform very well on exam by doing questions quickly and with good accuracy. Get good grades, then when you're a grad student, focus on learning more.

[Anonymous No.12279825]

>>12278954
Where would one be on this list if they had completed the general math stream from elementary all the way to Calc 4 (DEs) + linear algebra?