- #1
ZetaOfThree
Gold Member
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Check out this collection of mathematics problems, published in 1991, by V.I. Arnol'd called "A Mathematical Trivium". Here's the link:
http://www.math.upenn.edu/Arnold/Arnold-Trivium-1991.pdf
Apparently, these problems are meant to be solvable by the end of your undergraduate (math) education. Arnol'd says "A student who takes much more than five minutes to calculate the mean of ##\sin^{100}{x}## with 10% accuracy has no mastery of mathematics, even if he has studied non-standard analysis, universal algebra, supermanifolds, or embedding theorems." I'd be interested to hear what everyone thinks about the problems. Personally, I found many of them to be quite difficult. What do you think?
http://www.math.upenn.edu/Arnold/Arnold-Trivium-1991.pdf
Apparently, these problems are meant to be solvable by the end of your undergraduate (math) education. Arnol'd says "A student who takes much more than five minutes to calculate the mean of ##\sin^{100}{x}## with 10% accuracy has no mastery of mathematics, even if he has studied non-standard analysis, universal algebra, supermanifolds, or embedding theorems." I'd be interested to hear what everyone thinks about the problems. Personally, I found many of them to be quite difficult. What do you think?
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