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 www.themathdoctors.org
Logs of Negative or Complex Numbers - The Math Doctors
| | acko.net
How to Fold a Julia Fractal - Acko.net
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| | A tale of numbers that like to turn: a different look at complex numbers and the strange things they do.
| | jaydaigle.net
A Fictional History of Numbers, Part 4: Imagination, Complexity, and the Fundamental Theorem of Algebra
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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.
| | www.andreinc.net
From the Circle to Epicycles (Part 1) - An animated introduction to Fourier Series | andreinc
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| | A visual introduction to Fourier Series
| | www.jeremykun.com
Singular Value Decomposition Part 1: Perspectives on Linear Algebra | Math Programming
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| The singular value decomposition (SVD) of a matrix is a fundamental tool in computer science, data analysis, and statistics. It's used for all kinds of applications from regression to prediction, to finding approximate solutions to optimization problems. In this series of two posts we'll motivate, define, compute, and use the singular value decomposition to analyze some data. (Jump to the second post) I want to spend the first post entirely on motivation and background.