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www.quantamagazine.org
| | mattbaker.blog

In my last blog post, I discussed a simple proof of the fact that pi is irrational. That pi is in fact transcendental was first proved in 1882 by Ferdinand von Lindemann, who showed that if $latex \alpha$ is a nonzero complex number and $latex e^\alpha$ is algebraic, then $latex \alpha$ must be transcendental. Since...
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| | ianwrightsite.wordpress.com

Riemann's Zeta function is an infinite sublation of Hegelian integers.
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| | aperiodical.com

This week, Katie and Paul are blogging from the Heidelberg Laureate Forum - a week-long maths conference where current young researchers in maths and computer science can meet and hear talks by top...
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| | jaydaigle.net

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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