I hesitated to post this, since I think clearer, shorter, better written textbooks are an admirable goal, and I keep a (short) list of good text books I have found over the years. But based on the preview on the website, I'm going to keep referring those who ask me to Gelfand's wonderful basic math texts instead (Algebra, Method of Coordinates, Functions and Their Graphs, Trigonometry -- anyone who wants further poin…
Can you see why I would not want to talk about quaternions and octionions in a chapter which is meant to introduce math to people who have math phobia?
> these are nested subsets of each other, not disjoint, >
This should have been more clear. Will fix.