The math level of computer scientists and physicists

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SUMMARY

The discussion centers on the mathematical requirements for computer science (CS) and physics majors compared to mathematicians. Key courses for CS students include discrete math, linear algebra, and differential equations, while physics majors typically focus on calculus, linear algebra, and applied mathematics such as probability and partial differential equations. The consensus is that while CS majors engage more with algorithms and logic, physicists often delve deeper into applied mathematics relevant to real-world phenomena. Advanced topics like abstract algebra and complex analysis are less commonly utilized in CS but may be beneficial for theoretical applications.

PREREQUISITES
  • Understanding of differential equations and linear algebra
  • Familiarity with discrete mathematics concepts
  • Basic knowledge of calculus sequences
  • Awareness of applied mathematics in physics, such as probability and partial differential equations
NEXT STEPS
  • Explore the significance of discrete mathematics in computer science
  • Research the applications of complex analysis in physics
  • Investigate the role of abstract algebra in theoretical computer science
  • Learn about analytic combinatorics and its implications in algorithm design
USEFUL FOR

Students and professionals in computer science and physics, educators in STEM fields, and anyone interested in the mathematical foundations of algorithms and physical modeling.

  • #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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