2.3 Thoughts on the Chapter
Students of elementary algebra learn how to keep transforming expressions until they can be simplified. In our successive implementations of the Egyptian multiplication algorithm, weve gone through an analogous process, rearranging the code to make it clearer and more efficient. Every programmer needs to get in the habit of trying code transformations until the final form is obtained.
Weve seen how mathematics emerged in ancient Egypt, and how it gave us the first known algorithm. Were going to return to that algorithm and expand on it quite a bit later in the book. But for now were going to move ahead more than a thousand years and take a look at some mathematical discoveries from ancient Greece.