(cont.

>>12958891)

>>12958861Only the 1st half of Archwizard "High School" level is useful for Physics Undergrads and Engineers

But many topics in Archwizard "Freshman" and "Sophomore" are very useful for (Senior or PhD level) Physics or Astronomy.

Topics such as Hilbert spaces, Differential forms, Manifolds, Complex Analysis, Lie algebras, Clifford algebras, Differential geometry

Top Mathematical or Theoretical Physicists such as Edward Witten (pic related, Fields Medal winner) and Roger Penrose probably (Nobel winner) know all those Archwizard "Sophomore" topics

Topics in Archwizard "Junior/Senior/Specialist" level are a meme tho, with almost no application outside Math itself.

Archwizard "Junior/Senior/Specialist" are only useful as background for Math PhD students write their meme thesis in Grad School, or to do hardcore research and try to get Nobel level prizes (Fields Medal / Abel prize).