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So, hello everyone. Iamp;#39;m Norman Wildberger. Weamp;#39;re at the University of New South Wales today, this course in the history of mathematics. We have talked about Galois theory, which is an interesting, important chapter of algebra, mostly associated with the very interesting life of variste Galois. But also, there were a lot of other contributors before him. And even though this is a rather a little bit complicated topic, for example, Galois Theory itself is a course we teach at UNSW in the fourth year, which is an entire semester course, I do want to give you a rough idea of whatamp;#39;s going on mathematically with this set of ideas. Alright, so thereamp;#39;s a fundamental problem in algebra thatamp;#39;s really driving this development, which is this question here: how do we solve polynomial equations? Okay, and so what weamp;#39;re talking about here is we have an N-degree polynomial X to the N plus a1 X to the n minus 1 plus a2 X to th