puzzling out the proofs for concepts so utterly fundamental to math by myself that it’s like if Genesis 1:3 was And God said, 'Let there be integer,' and there was integer

  • Tomorrow_Farewell [any, they/them]
    ·
    2 months ago

    I'd suggest doing introductory analysis prior to topology

    Pretty sure that is covered under 'calculus' in English-speaking countries. Is that not so?

    • hexaflexagonbear [he/him]
      ·
      edit-2
      2 months ago

      Only if it's the math major version of the course at elite institutions, at least in the US. Typical versions of calculus will probably at best discuss epsilon-delta definition of a limit. They won't discuss topics like connectedness or compactness, and when covering the Riemann integral they will use a version that only works for continuous (and can be extended to piecewise continuous) functions, but the definition can't answer some basic questions like "is this function Riemann integrable".

      • Tomorrow_Farewell [any, they/them]
        ·
        edit-2
        2 months ago

        Only if it's the math major version of the course at elite institutions, at least in the US

        Huh? Wow, I guess the west is this barbarous. Seriously, those topics were covered in the first semester in my case, with the primary textbook also taking a topological approach (without introducing topology explicitly - just working with the metric notion of open sets, though).

        Commercialised access to higher education has been a scourge upon your education, or seems.