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In the 1800s, prior to Hilbert’s list of problems, mathematicians discovered that the roots of unity could serve as “building blocks” for the particular collection of numbers that they wanted to study ...
The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials as part of Bitesize Higher Maths ...
We provide a self-contained topological proof of the continuous dependence of the roots of a polynomial on its coefficients. We present it as a homeomorphism between the space of monic complex ...