Those of you still plugging away at Infinite Summer may not want to read this (i.e. spoilers!), but Brian Barone finished early and found some interesting mathematical themes in the book.
Now, here's the part that really boggled me: the Consumption/Waste idea is a 1:1 correspondence (something in yields something out), what mathematicians call a linear function. The Parabola idea connects, pretty obviously, with parabolas -- now we're looking at x raised to the power of two. Annular Systems are modeled by circles which are given in analytic geometry by equations with both x^2 and y^2. Limits and Infinity, of course, become necessary in order to find the area of shapes under curves like parabolas and three-dimensional projections of circles.
Whoa. That is a tiny bit mind-blowing...do I really have time for a reread right now? (thx, nick)