|
|
Due to spam and off-topic content, these forums are being phased out and replaced with new great books forums. Please join us!
Posted by jjf on July 07, 19101 at 19:35:19:
In Reply to: How would you know? posted by Raphael on July 06, 19101 at 13:40:54:
JJF: By the way are you any good at partial differential equations?
Raphael: the answer is yes. How are you on Riemann surfaces and wave equations?
JJF: Fascinating, I aced all my calculus and ordinary differential equations courses but when I went back to a grad school partial differential equations course I got burned. I’ve always wanted to get back to it. I did have a surprisingly easy course in Special Functions that I pretty sure covered Riemann and wave equations. Still in the “real” world of Engineering I haven’t had much use for higher level mathematics. The guys I work have to use what’s available in the “real” world to build things and most on the info they need they look up in manufacturers tables. This can be a problem because I had to solve an argument with one of my peers using simple integration. Point is there shouldn’t have been an argument at all but the guy had gotten really rusty a math.
I found this site that mentions Riemann’s influence on Einstein and how his work is part of the foundation of the solution of Fermat's Last Theorem, which apparently was solved after 350 years in 1993. I left you the link. Here is an excerpt:
Incidentally, Riemann was also responsible for Riemannian geometry, i. e. the study of curves and surfaces by techniques of differential calculus. In fact, as his invention of Riemann surfaces suggests, Riemann contributed as much to geometry as to ysis. Indeed, he did a great deal to unify the two fields. Such concepts as tensor calculus and differential manifolds are a direct result of his work - and they became the essential tools of Einstein's general relativity theory.
In what area of the “real” world do you apply partial differential equations, Riemann surfaces, and wave equations? And thank you for re-opening this really cool area of interest for me. God did create an astoundingly beautiful universe.
Love,
JJF