August 3, 2018
#2028: Complex Numbers
[Cueball (the student) is raising his hand and writing with his other hand. He is sitting down at a desk, which has a piece of paper on it.]
Cueball: Does any of this really have to do with the square root of -1? Or do mathematicians just think they’re too cool for regular vectors?
[Miss Lenhart (the teacher) is standing in front of a whiteboard.]
Miss Lenhart: Complex numbers aren’t just vectors. They’re a profound extension of real numbers, laying the foundation for the fundamental theorem of algebra and the entire field of complex analysis.
[Miss Lenhart is standing slightly to the right in a blank frame.]
Miss Lenhart: And we’re too cool for regular vectors.
Cueball (off-screen): I knew it!