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
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
4.2.4 Exponentials and logarithms
4.3 Trigonometry
4.3.1 The fundamental functions
4.3.2 The inverse functions
4.3.3 Additional identities
4.4 From Cartesian to polar coordinates
4.5 The complex ‘‘plane’’
4.6 Real three dimensions
4.7 Summary
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
4.2.4 Exponentials and logarithms
4.3 Trigonometry
4.3.1 The fundamental functions
4.3.2 The inverse functions
4.3.3 Additional identities
4.4 From Cartesian to polar coordinates
4.5 The complex ‘‘plane’’
4.6 Real three dimensions
4.7 Summary
