Chapter 11. Rulers

11.1 Standard Rulers
11.2 Rulers
11.3 Markings
11.4 Measurement
11.5 Magnitude
11.6 Transpose

All too often rulers get overlooked when people study Calculus. It takes quite a bit of time to draw a ruler. And to be perfectly honest, it takes significant effort to develop an intuition for rulers. But don't let this discourage you!

The good news is that it is no more difficult to make calculations with rulers than with vectors. In fact, the algebra of rulers and vectors are essentially identical. They share the same definitions, laws, theorems, etc. Or perhaps it is better to say that rulers and vectors are dual: they are complimentary types that together give a theory of measurement. Despite their similarities, rulers will be much more useful to us as we move forward. There will be significant benefits to learning to calculate with rulers!