(November 7, 2018 at 3:51 pm)Jehanne Wrote:(November 7, 2018 at 1:31 pm)polymath257 Wrote: Actually, most of the undergraduate math is 18th century or before. The one exception at the 'lower' levels is linear algebra. If you get to the junior/senior classes, you get into the 19th century with groups and rings as well as some of the material on epsilon-delta proofs.
And yes, getting past 1950 or so is pretty much limited to PhD students, although some of the material relevant to theoretical computer science gets past that mark.
I have read that the modern-day definition of the limit in calculus was near the last quarter of the 19th-century, with the last book (other than the University of Wisconsin's foray back in time) on infinitesimals being around 1915.
Cauchy did his stuff in the early part of the 19th. By mid-century, the epsilon-delta definition was standard among mathematicians (if not among others).
