/sci/ - Science & Math » Thread #12262642

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Anonymous Fri 23 Oct 02:25:25 2020 No.12262642 View Reply Original Report

Quoted By: >>12262808 >>12263016 >>12265649 >>12266980 >>12267009 >>12267303 >>12268191 >>12271174 >>12274148 >>12278688 >>12279661

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

Anonymous Fri 23 Oct 2020 03:45:19 No.12262805 Report

Quoted By: >>12262826

Everything altogether? Which first?

Anonymous

Anonymous Fri 23 Oct 2020 03:48:50 No.12262808 Report

Quoted By: >>12262826

>>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

Anonymous Fri 23 Oct 2020 03:48:53 No.12262809 Report

Quoted By: >>12262826 >>12266990 >>12277272

>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

Anonymous Fri 23 Oct 2020 03:56:12 No.12262826 Report

Quoted By: >>12262832 >>12262855

>>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

Anonymous Fri 23 Oct 2020 03:58:24 No.12262832 Report

Quoted By: >>12262843

>>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

Anonymous Fri 23 Oct 2020 04:01:58 No.12262843 Report

Quoted By: >>12262849 >>12262854

>>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

Anonymous Fri 23 Oct 2020 04:05:02 No.12262849 Report

Quoted By: >>12262854 >>12262888

>>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

Anonymous Fri 23 Oct 2020 04:08:01 No.12262854 Report

Quoted By: >>12262888

>>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

Anonymous Fri 23 Oct 2020 04:08:29 No.12262855 Report

Quoted By: >>12262888

>>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

Anonymous Fri 23 Oct 2020 04:17:29 No.12262888 Report

Quoted By: >>12279019

>>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

Anonymous Fri 23 Oct 2020 05:26:53 No.12263016 Report

Quoted By: >>12264547

>>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

Anonymous Fri 23 Oct 2020 17:20:00 No.12264547 Report

Quoted By: >>12265663

>>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

Anonymous Fri 23 Oct 2020 23:35:49 No.12265649 Report

Quoted By:

>>12262642
Bump

Anonymous

Anonymous Fri 23 Oct 2020 23:40:14 No.12265663 Report

Quoted By:

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

Anonymous

Anonymous Fri 23 Oct 2020 23:52:21 No.12265703 Report

Quoted By: >>12266080

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

Anonymous Sat 24 Oct 2020 02:07:46 No.12266080 Report

Quoted By:

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

Anonymous

Anonymous Sat 24 Oct 2020 08:52:14 No.12266980 Report

Quoted By:

>>12262642
BUMP NIGGA

Anonymous

Anonymous Sat 24 Oct 2020 08:56:09 No.12266990 Report

Quoted By:

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

Anonymous

Anonymous Sat 24 Oct 2020 09:07:06 No.12267009 Report

Quoted By: >>12273823

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

Anonymous

Anonymous Sat 24 Oct 2020 11:56:46 No.12267303 Report

Quoted By: >>12268498

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

Anonymous

Anonymous Sat 24 Oct 2020 16:03:51 No.12268191 Report

Quoted By: >>12268906

>>12262642
PDEs are crucial for signal processing

Anonymous

Anonymous Sat 24 Oct 2020 17:40:03 No.12268498 Report

Quoted By:

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

Anonymous

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Anonymous Sat 24 Oct 2020 20:23:04 No.12268906 Report

Quoted By: >>12269207

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

Anonymous

Anonymous Sat 24 Oct 2020 21:54:39 No.12269207 Report

Quoted By: >>12270823

>>12268906
that should have been on your list regardless

Anonymous

Anonymous Sun 25 Oct 2020 09:04:24 No.12270823 Report

Quoted By:

>>12269207
Ok

Anonymous

Anonymous Sun 25 Oct 2020 12:01:02 No.12271174 Report

Quoted By: >>12272704

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

Anonymous

Anonymous Sun 25 Oct 2020 12:17:17 No.12271197 Report

Quoted By: >>12271829 >>12273238

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

Anonymous Sun 25 Oct 2020 16:29:51 No.12271829 Report

Quoted By:

>>12271197
Thanks fren

Anonymous

Anonymous Sun 25 Oct 2020 20:25:12 No.12272704 Report

Quoted By:

>>12271174
Why’s that?

Anonymous

Anonymous Sun 25 Oct 2020 22:52:30 No.12273238 Report

Quoted By:

>>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

Anonymous Mon 26 Oct 2020 02:05:53 No.12273823 Report

Quoted By:

>>12267009
Is Bender a Jew?

Anonymous

Anonymous Mon 26 Oct 2020 04:47:20 No.12274148 Report

Quoted By: >>12275851

>>12262642
Bump

Anonymous

Anonymous Mon 26 Oct 2020 18:53:18 No.12275851 Report

Quoted By:

>>12274148
Bump

Anonymous

Anonymous Tue 27 Oct 2020 01:59:25 No.12277272 Report

Quoted By:

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

Anonymous

Anonymous Tue 27 Oct 2020 14:54:35 No.12278688 Report

Quoted By: >>12278817

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

Anonymous

Anonymous Tue 27 Oct 2020 15:36:11 No.12278817 Report

Quoted By: >>12278954

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

Anonymous

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Anonymous Tue 27 Oct 2020 16:16:55 No.12278954 Report

Quoted By: >>12279825

>>12278817

Anonymous

Anonymous Tue 27 Oct 2020 16:39:49 No.12279019 Report

Quoted By:

>>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

Anonymous Tue 27 Oct 2020 19:05:52 No.12279661 Report

Quoted By:

>>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

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Anonymous Tue 27 Oct 2020 20:04:32 No.12279825 Report

Quoted By:

>>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?

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