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Frobenius' Theorem on Division Algebras [PDF]

open access: yesarXiv
Frobenius' Theorem states that the only finite-dimensional real division algebras are the algebra of real numbers $\mathbb R$, the algebra of complex numbers $\mathbb C$, and the algebra of quaternions $\mathbb H$. We present a short proof which uses only standard undergraduate mathematics.
arxiv  

Supporting Fifth Graders in Learning Multiplication of Fraction with Whole Number

open access: yesJournal on Mathematics Education, 2012
The meaning of fractions with integer multiplication is something thatis difficult to understand by students. They tend to think that theproduct it produces a larger number, while the multiplication offractions with integers, the result can be any number
Cut Khairunnisa   +3 more
doaj  

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