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Imaginary numbers are routinely used in things I must understand. There exist so many other 'variations' of mathematics that involve symbols I am not confortable with and concepts that I have difficulty with (such as manifolds, fields, and topology). For me, it helps to have some real world examples since when reading pure math, I don't always read what they had intended. Without those examples, I cannot 'benchmark' myself against what I was suppose to learn. Without those examples, then these mathematical concepts assume I already understand the principles; therefore they lose me in the underlying concepts.
One form of mathematics I wish I better understood is Galois fields. But then that type of math was not even listed. Gauss accomplished so much that I am not sure which is and is not Gaussian mathematics.
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