An introduction to functional analysis for science and engineering(arxiv.org)
121 pointsby Anon845 days ago8 comments
  • _alternator_3 days ago
    Seem reasonably concise, but I think Kreyzsig's Introduction to Functional Analysis with Applications fills the "gap" that this paper wants to fill. It's readable, has applications, exercises, and is more complete.
  • dieselgate3 days ago
    From my undergrad engineering math I understand some context here but am getting confused after a decade of programming. Words like "compact" and "closure" [0] probably do not translate directly to the mathematics space from software development - but don't really expect them to...

    Thanks for the post it's a good kick in the rear to explore conceptually what eigenvalues/vectors are again!

    [0]: from looking up "compact operator" https://en.wikipedia.org/wiki/Compact_operator

  • srean3 days ago
    That sure is one compact document. Pun intended. The document is very readable too.
  • throwaway815233 days ago
    (2019). No exercises.
  • iamcreasy3 days ago
    Does anyone know any applied functional analysis book? I have strong linear algebra foundation, but no real analysis.
    • srean3 days ago
      I love this one

      https://ia801706.us.archive.org/7/items/in.ernet.dli.2015.14...

      Luenberger, Optimization By Vector Space Methods.

      Although it is about a specific application, optimization, it is a good book to get a sense of infinite dimensional vector spaces. I would also recommend Halmos. His book surreptitiously introduces you to that subset of linear algebraic notions that survive inti infinite dimensional spaces.

    • wolfi13 days ago
      if you take the spectral theorem, for example, there is a direct connection between linear algebra and functional analysis, basically it's linear algebra in infinite dimensions
  • synapsehire3 days ago
    [flagged]
  • oakinnagbe3 days ago
    Genuine question: does the writing tool matter at all here if the exposition is clear and mathematically correct? I’ve seen great notes written in Word, LaTeX, and even slides—quality seems independent of format.
    • throwaway815233 days ago
      I would say it's not statistically independent. See https://scottaaronson.blog/?p=304 item #1. So we get to add another exception, which is fine.
      • oakinnagbe2 days ago
        That feels more like a selection effect than a property of the writing tool itself.
        • throwaway81523a day ago
          Well yes, if using TeX could turn me into a legit math researcher, life would be a lot easier. ;)
      • 3 days ago
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      • anioko13 days ago
        Interesting!
    • mswphd3 days ago
      both no in principle, and when you're used to reading LaTeX, word is ugly. It's a milder form of how if these notes were handwritten it wouldn't matter, but it would also be less appealing than them being typeset well.
  • hamburgererror3 days ago
    Not LaTeX...
    • CyLith3 days ago
      DABM writes everything in MS Word.
    • DarkNova63 days ago
      So... ?
      • maleldil3 days ago
        It's "bad form" to write STEM papers in Word. Which is stupid, of course, as every major publisher offers both Word and LaTeX templates. I wish they'd offer Typst too.
    • 3 days ago
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