@article {Boudreaux:2013:0746-8342:409,
author = "Boudreaux, Gregory Mark and Walls, Jess E.",
title = "Descartes' Calculus of Subnormals: What Might Have Been",
journal = "The College Mathematics Journal",
volume = "44",
number = "5",
year = "2013",
publication date ="2013-11-01T00:00:00",
abstract = "Ren{\’e} Descartes' method for finding tangents (equivalently, subnormals) depends on geometric and algebraic properties of a family of circles intersecting a given curve. It can be generalized to establish a calculus of subnormals, an alternative to the calculus of Newton and Leibniz.
Here we prove subnormal counterparts of the well-known differentiation rules of the calculus.",
pages = "409-420",
itemtype = "ARTICLE",
parent_itemid = "infobike://maa/cmj",
issn = "0746-8342",
eissn = "1931-1346",
publishercode ="maa",
url = "http://www.ingentaconnect.com/content/maa/cmj/2013/00000044/00000005/art00009",
doi = "doi:10.4169/college.math.j.44.5.409"
}