PDEs for EEs: Signal Processing R&D

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Partial Differential Equations (PDE) are crucial for understanding and advancing in signal processing research and development, particularly for electrical engineers. A solid grasp of PDE is beneficial as it underpins many concepts in the field. While rigorous mathematics is important, practical applications should be emphasized to avoid unnecessary complexity. For those seeking resources, recommendations for books tailored to engineers rather than mathematicians are encouraged, highlighting the need for accessible yet comprehensive material. Overall, a strong mathematical foundation, including PDE, is essential for success in signal processing.
kdinser
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This is kind of an off shoot of another thread, but figured it would be better to start my own rather then hijack someone else's :).

What does PDE cover and would it be useful to an EE looking to get into signal processing research and development? If so, could someone recommend a good book on the subject that is aimed more at the engineer then the math major? I don't mind rigorous mathematics when it's called for, but I get annoyed when it overlaps to much with common sense,
Thanks
 
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Well, if you want to get into signal processing you can never have enough math. Hell, you can never have enough math, period.

PDE is an essential subject to be well versed in no matter what you go into. Right now I am studying tensor analysis on my own (dual major in EE and physics) so I can be prepared to study GR properly, but the next subject I plan to cover on my own is PDE.
 
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TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...

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