B
bitrex
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On 1/4/2023 11:46 AM, Phil Hobbs wrote:
Yes that\'s the one. I don\'t understand much beyond part II, maybe
someday, but the material about ODEs, difference equations, and
asymptotic expansions is worth the price of admission alone.
I\'m taking an online course in statistical mechanics, it\'s pretty cool,
connecting quantum mechanics micro ---> the PVNRT macro
bitrex wrote:
On 1/3/2023 7:30 PM, Phil Hobbs wrote:
RichD wrote:
On January 1, John Larkin wrote:
https://www.theregister.com/2022/07/18/electrical_engineers_extinction/?td=rt-9cp
I\'ve been thinking for some time now that EE schools don\'t turn out
people who like electricity, but maker culture might.
I advise younguns against an engineering degree, it\'s over-specialized,
and obsolete in 5 years.
Only if you get sucked into spending all your time on the flavor of
the month. People who spend their time in school learning
fundamental things that are hard to master on your own (math, mostly)
and then pick up the other stuff as they go along don\'t get
obsolete. That\'s not difficult to do in your average EE program even
today, AFAICT. Signals and systems, electrodynamics, solid state
theory, and a bit of quantum are all good things to know.
Spending all your time in school programming in Javascript or VHDL or
memorizing compliance requirements is not a good career move for an EE.
I tell them to get a physics education. Study hard. Then you have the
tools to do anything you want.
Physicists turn up everywhere, it\'s true. Folks with bachelor\'s
degrees in physics can do most kinds of engineering, provided they\'re
willing to bone up on the specifics. Of course there are some who
assume they know everything and just bull ahead till they fail, but,
well, human beings are everyplace. Thing is, the basic
professional qualification for a physicist is a doctorate, whereas in
engineering it\'s a BSEE.
That is, first the academics, then the vocational training.
I agree that knowing the fundamentals cold is very important.
However, (a) physics isn\'t for everyone, by a long chalk; and (b)
there\'s a glorious intellectual heritage in engineering, so calling
it \'vocational training\' is pejorative.
Cheers
Phil \"Intermediate energy state\" Hobbs
Advanced engineering mathematics:
https://www.ebay.com/itm/194964206310
Which is pretty advanced, I don\'t know how many BS-type EEs know about
the orthogonality of Bessel functions, or regularly use contour
integration for anything.
You need to be able to do contour integration in a whole lot of signals
and systems. For instance, the proof that instability in a linear
system is the same as acausal behavior depends on it.
The exp(i omega t) in the Fourier integral means that you have to close
the contour in one half plane for positive time and the other for
negative time. If there are any poles inside the negative-time contour,
you get acausal response and exponential growth.  (A very pretty result
first proved by E. C. Titchmarsh, I think.)
But not as advanced as \"Advanced Mathematical Methods for Scientists &
Engineers\", which is largely about perturbation methods, boundary
layer theory, and WKB approximations. Sounds fun I guess, I just got a
used copy from Amazon for $8
That\'s Bender & Orszag, right? By far my favorite math book of all
time. I just _love_ that one. The prof for my (first year grad)
asymptotic methods class was a former EE (Stephanos Venakides, may his
tribe increase). That helped a lot. Math classes taught by
mathematicians tend to be dry, because they regard the subject like
philosophy, whereas to a scientist or engineer, math is a technology of
thought.
BITD Arfken\'s \"Mathematical Methods for Physicists\" was one of the
standard math books for undergraduate physics, along with Levenson &
Redheffer\'s complex variables book, Boyce & di Prima on ODEs, Carrier &
Pearson for PDEs, and something on linear algebra. My linear alg class
was taught out of Schaum\'s Outline, believe it or not--super cheap and
actually a pretty good book. Oh, and a little book on the theoretical
side of calculus, so that you can prove theorems and stuff if you need to.
Yes that\'s the one. I don\'t understand much beyond part II, maybe
someday, but the material about ODEs, difference equations, and
asymptotic expansions is worth the price of admission alone.
Fourier analysis, perturbation theory, asymptotic methods, cluster
expansions, tensor calculus, and Feynman path integrals were all taught
in physics classes. I took four EE classes in grad school--Tony Siegman
on lasers, Steve Harris on nonlinear optics, and Ron Bracewell on how to
think in k-space (aka reciprocal space and Fourier space), and Bernie
Widrow on DSP.
I\'m taking an online course in statistical mechanics, it\'s pretty cool,
connecting quantum mechanics micro ---> the PVNRT macro
Cheers
Phil