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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/

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 …
Pierre-Yves Gaillard's user avatar
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 …
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 …
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 …