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History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
6
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Examples of conjectures that were widely believed to be true but later proved false
The Markus-Yamabe Conjecture in differential equations was posed in 1960. It states that if $f:\mathbb{R}^n\rightarrow\mathbb{R}^n$ is a $C^1$ map such that $f(0)=0$ and the eigenvalues of the Jacobia …
0
votes
Examples of simultaneous independent breakthroughs
A completely new algorithm for calculating $\pi$ was independently discovered by Salamin and Brent in 1976. This iterative algorithm, which doubles the number of correct digits with each iteration, is …
35
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30
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Examples of simultaneous independent breakthroughs
I'm looking for examples where, after a long time with little progress, a simultaneous mathematical discovery, solution, or breakthrough was made independently by at least two different people/groups. …