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jmanton.wordpress.com | ||
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jaydaigle.net
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| | | | | We continue our exploration of what numbers are, and where mathematicians keep finding weird ones. In the first three parts we extended the natural numbers in two ways: algebraically and analytically. Those approaches gave overlapping but distinct sets of numbers. This week we combine them to get the complex numbers, and see some hints of why the complex numbers are so useful-and so frustrating. | |
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www.jeremykun.com
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| | | | | The First Isomorphism Theorem The meat of our last primer was a proof that quotient groups are well-defined. One important result that helps us compute groups is a very easy consequence of this well-definition. Recall that if $ G,H$ are groups and $ \varphi: G \to H$ is a group homomorphism, then the image of $ \varphi$ is a subgroup of $ H$. Also the kernel of $ \varphi$ is the normal subgroup of $ G$ consisting of the elements which are mapped to the identity under $ \varphi$. | |
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jiggerwit.wordpress.com
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| | | | | YBC 7289 Introduction (A pdf version of this post appears at the end of this post.) We propose a one-shot calculation of ?2 using Babylonian mathematics. An Old-Babylonian (OB) tablet YBC 7289 (from around 1800 B.C. to 1600 B.C.) contains the approximation B = 1 + 24/60 + 51/602 + 10/603 = 30547/21600 for ?2.... | |
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pablormier.github.io
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| | | an example of a blog post with disqus comments | ||
