Courses The math level of computer scientists and physicists

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The discussion centers on the mathematical requirements for computer science (CS) and physics majors compared to mathematicians. It highlights that while CS and physics students typically take calculus, differential equations, and linear algebra, they often do not delve into higher-level mathematics like abstract algebra or topology, which are more relevant to pure mathematicians. Some CS majors may pursue advanced math courses that focus on logic and algorithms, while physics majors might engage more with applied mathematics relevant to real-world phenomena. The conversation also notes that physicists generally have a deeper understanding of math as it applies to their field, whereas CS students focus more on algorithms and data structures. Overall, both disciplines require different mathematical skills tailored to their specific applications.
  • #31
bhobba said:
Actually he wasn't - he was downright sloppy - competent - but excellent - no. In later years he hired assistants to do that tiresome stuff.

Compare him to an actually great mathematician like Von-Neumann and he was way ahead.
That's harsh. If we compare everyone with geniuses, then no one was excellent except Gauss.
 
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  • #32
FactChecker said:
That's harsh. If we compare everyone with geniuses, then no one was excellent except Gauss.

Maybe - but I think people get he gist.

How true is it - make your own mind up - see the following:
https://www.amazon.com/dp/0393337685/?tag=pfamazon01-20

Thanks
Bill
 
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  • #33
bhobba said:
Maybe - but I think people get he gist.

How true is it - make your own mind up - see the following:
https://www.amazon.com/dp/0393337685/?tag=pfamazon01-20

Thanks
Bill

I think having von Neumann as your bar is too high -- he was at once brilliant in pure and applied mathematics and fast. Outside of Olympiad settings its not at all clear that being so fast matters that much. (Gowers has written about this, I can dredge something up a link.)

Einstein's Mistakes is a really enjoyable book (though people should be aware that the author, a physicist, takes cheap shots at engineers from time to time).
 
  • #34
StoneTemplePython said:
he was at once brilliant in pure and applied mathematics

Its not his speed that made him great - it was his ability to penetrate a problem. For example he solved many of the problems on the atomic bomb project such as using a conventional bomb around the atomic material to reach critical mass and hold it there long enough for explosive fission to occur. Natuarally that's just one of many things eg he practically invented game theory.

But yes he was so fast it was said he was the only person fully awake.

Thanks
Bill
 

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