Geometry in the plane and in space
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The chapter has two main goals. The first is to discuss the possibilities of representing objects in the plane and in three-dimensional space; in this sense we can think of this as an ideal continuation of Chap. 1. We shall introduce coordinate systems other than the Cartesian system, plus vectors and their elementary properties, and then the set ℂ of complex numbers. Secondly, it is a good occasion for introducing concepts that will be dealt with in more depth during other lecture courses, for instance functions of several variables, or the theory of curves in space.