ten_fingers

19 ms·

61.
by ten_fingers 14y ago
There are some other common reasons, apparently so far not mentioned in this thread, for job ads with a list of detailed qualifications nearly impossible to satisfy: First, the ad might be only to satisfy some legal or bureaucratic purpose
62.
by ten_fingers 14y ago
> Those all fall under the umbrella I gave. Yes, all or nearly all! That the trig functions are the source of the most important orthogonal basis in Hilbert space theory need not be good to know just for physics or signal processing! L
63.
by ten_fingers 14y ago
The first-cut, rough answer is, yes, you can. Another answer is, no matter what, most of what you have to do has to be done alone in a quiet room with the book, or books, lecture notes, or whatever. But there are some risks. First, broadly
64.
by ten_fingers 14y ago
The future of CS will be in several, maybe many, directions. E.g., there will be new struggles keeping the cores busy when we have 1000 cores per processor. My software development is taking too darned long; one direction is to make that
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by ten_fingers 14y ago
Trig? Fourier series and its introduction to functional analysis and Hilbert space and the ideas of inner products and orthogonality there. JPG image compression. Shannon's information theory. Characterization of time invariant linear s
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by ten_fingers 14y ago
> I think there is a point of diminishing returns. Yes, there is a big question about what to learn, about how much to invest in such things. > Baby Rudin I'm dubious about. But Royden and big Rudin (both of which you recommended)
67.
by ten_fingers 14y ago
> Most areas of CS you do are unlikely to need advanced calculus or topics that depend on it (differential equations, topology, measure theory...). Right. The only advanced calculus text I listed was 'Baby Rudin', and the main contribu
68.
by ten_fingers 14y ago
'Advanced calculus' is a huge, ill-defined subject, partly a catch-all of introductions to several large topics. So I tried not to give a 'clarifying guide to advanced calculus' and, really, instead to concentrate on what would be of more
69.
by ten_fingers 14y ago
Just follow the usual path for education in relatively applied math. Here is a nutshell description: The standard high school level subjects are algebra, plane geometry, second year algebra, trigonometry, and solid geometry. The standard co
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by ten_fingers 14y ago
Yes, Ph.D. students can suffer. I got a Ph.D. in some applied math in engineering, didn't suffer very much, saw some terrible suffering by others, and can offer my brief advice here. For the question "why bother pursuing a Ph.D.", I never