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\|	\|	jaydaigle.net A Fictional History of Numbers, Part 4: Imagination, Complexity, and the Fundamental Theorem of Algebra	8.9 parsecs away Travel
\|	\|	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.	8.9 parsecs away Travel
\|	\|	math.andrej.com Mathematics and Computation \| Proof of negation and proof by contradiction	15.2 parsecs away Travel
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\|	\|	rjlipton.com The Surprising Power of Rational Functions \| Gödel's Lost Letter and P=NP	16.5 parsecs away Travel
\|	\|	Newman's theorem on rational approximations and complexity theory Donald Newman was not a theorist, but was a mathematician who worked on many topics during his career. One of his results is a lovely theorem that shows that the approximation of continuous functions by rational functions can be very different from the approximation by polynomials. Today...	16.5 parsecs away Travel
\|	\|	vitalyobukhov.wordpress.com Shurali the cat \| #about.me	64.3 parsecs away Travel
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