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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/
3
votes
Examples of common false beliefs in mathematics
Here are two beliefs. I think everybody will agree that one of them, at least, is false. I adhere to the second one.
Belief 1. The simplest way to compute the exponential $e^A$ of a complex square mat …
5
votes
Examples of common false beliefs in mathematics
Here are two beliefs. I think everybody will agree that one of them, at least, is false. I adhere to the second one.
Belief 1. There is no simple generalization of the Hodge Theorem to noncompact mani …
2
votes
Taylor's theorem and the symmetric group
Here is an observation related to Taylor's Formula. Unfortunately, it doesn't involve the symmetric group.
If $\mathcal A$ is the category of commutative $\mathbb Q$-algebras and $\mathcal D$ the ca …
18
votes
Examples of common false beliefs in mathematics
By googling one sees that each of the following statements has a significant number of believers:
(1) the vector space {0} has no basis,
(2) the empty set is a basis of {0} by convention,
(3) the s …