| Abstract:
It is well-known that there are many theorems in classical geometry
whose precise formulation and proof can only be understood by
recasting geometry in the language of algebra. In this mini-series, I
would like to go through a few typical examples from the Euclidean
and projective geometries. This will be yet another demonstration of
an excellent display of the unity and mutual interpretability in
mathematics. In the process, we will show how certain algebraic
structures arise naturally from geometries. I sincerely believe that
these constructions and techniques should be in the tool box of every
modern graduate student of mathematics.
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