Quick list of theoretical topics relevant to system administration

I’ve been reading the long thread kicked off by Luke Kanies’s email about the state of system administration as illustrated by the current tools. A minor subthread touched on why there aren’t more books about system administration theory, what that theory is, and so forth. A couple of mathematical topics were briefly mentioned, and it kicked off some associations for me, so I started a list of mathematical or theoretical things I’ve found more or less relevant or helpful or just interesting, in no particular order:

  • Nyquist sampling theorem
  • Queueing theory
  • Human-computer interfaces
  • Computer architecture (in the Hennessy & Patterson sense, not the “administrator” vs “architect” sense)
  • Channel codes, ECC, turbo codes
  • Weibull equation/distribution
  • Protocol design — I don’t honestly know much about the theory, but I know there is a fair amount of it
  • Cryptography, of course, and security in the broader sense

Of course none of these would be described as “system administration theory” by its specialists.