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Results tagged with ho.history-overview
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user 3709
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
5
votes
Why were matrix determinants once such a big deal?
1) The Chern-Weil theory of characteristic classes is built upon determinants of functions of curvature forms of vector bundles.
2) Feynman path integrals require determinants (but typically in infini …
5
votes
Proofs that require fundamentally new ways of thinking
Proving that subgroups of free groups are free requires the knowledge of topology, a completely different field which a priori does not have anything to do with groups.
4
votes
Tweetable Mathematics
Every non-constant complex polynomial has a complex root : If not the inverse is bounded analytic. Use Liouville. #FundamentalTheoremOfAlgebra
1
vote
Tweetable Mathematics
There is no smooth surjection from $S^5$ to $S^6$. #Sard