🧵 Calculus and Analog Signal Analysis
Anonymous at Thu, 3 Apr 2025 17:17:19 UTC No. 16636208
I studied biomedical engineering in undergrad over 10 years ago and studied a bit of calculus like multivariate and differential equations.
Also studied a bit of analog signal analysis which involved circuit analysis of transient signals, Fourier and Laplace transforms.
However I want to study these again more indepth to refresh and expand my knowledge, as well as have any of the calculus and other math background necessery to understand this at a deeper level, and further topics.
What textbook do you recommend /sci/?
Anonymous at Thu, 3 Apr 2025 18:48:26 UTC No. 16636320
>>16636208
It's not a function but a functional engineering faggots.
Anonymous at Thu, 3 Apr 2025 19:04:08 UTC No. 16636342
>>16636320
Okay, that's fine. You can call it a functional or a distribution if you'd like. It works out the same way either way since it's an asymptotic approximation.
>>16636208
Calculus - Just read and work through Stewart. If you really want to, you could use Abbot or something, but Stewart is probably fine for applied stuff you care about.
Diff eq. - Tenenbaum is fine and cheap. It gives you the basics you'd need.
Signals and Systems - B.P. Lathi's book is the best introductory book on this.
Control Theory - Use Nise's book for continuous, and then Chen's Linear System Theory and Design when you want to more thoroughly understand state space approaches.
Anonymous at Thu, 3 Apr 2025 19:05:35 UTC No. 16636345
>>16636208
What are your goals? If its pure math, then Baby Rudin, Papa Rudin, Grandpa Rudin, Folland’s Harmonic Analysis, in that order.
Anonymous at Thu, 3 Apr 2025 20:09:10 UTC No. 16636423
>>16636345
I think my main goals is to gain more mathematical abstraction skills. In school I felt like the analog circuit analysis lessons were scratching the surface of a very interesting field and always wondered since then about what else there is to to that field.
I ordered Functional Analysis by Rudin, ty.
Anonymous at Fri, 4 Apr 2025 04:25:51 UTC No. 16636979
>>16636423
Oh God. You shouldn't start with Functional Analysis. That's the third one, and you really should read them in order, slowly, and doing as many of the exercises as you can manage. Otherwise you won't have any clue what's going on.
Rudin's Principles of Mathematical Analysis would probably be a reasonable starting point if you feel quite comfortable with calculus.
Anonymous at Fri, 4 Apr 2025 07:29:59 UTC No. 16637047
>>16636208
Allan Openheim's Signals & Systems book is typically the "Bible" of the subject matter. I have been meaning to read it, so I can't give my personal opinion