4 Planes and Circles and Spheres, Oh My

No employment can be managed without arithmetic, no mechanical invention without geometry.

Benjamin Franklin

In the last chapter we focused on the algebra of numbers and collections of objects that behave like numbers. Here we turn our attention to geometry and look at two and three dimensions. When we start working with qubits in chapter 7, we represent a single qubit as a sphere in three dimensions. Therefore, it’s necessary to get comfortable with the geometric side of the mathematics before we tackle the quantum computing aspect.

Topics covered in this chapter

4.1 Functions 4.2 The real plane 4.2.1 Moving to two dimensions 4.2.2 Distance and length 4.2.3 Geometric figures in the real plane

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