Truth and breadth, clarity and depth in algebra

This essay is a sequel to an essay of 2003 that pointed our gross deficiencies in the commodity calculator and described modifications that would bring truth and clarity to the calculator. One of the gross untruths was in the pretence that the arithmetic was exact, and this essay couples inexact arithmetic to the exact of the earlier redesign in clear way and also describes how lists and sets of numbers can be dealt with simply and practically. But the capstone is the introducation of a formula stack alongside the argument stack so that computational algebra is practical and simple. Templates for functions of functions are also proposed