@article {MATHEDUC.05779672,
author = {Galuzzi, Massimo},
title = {Newton's attempt to construct a unitary view of mathematics.},
year = {2010},
journal = {Historia Mathematica},
volume = {37},
number = {3},
issn = {0315-0860},
pages = {535-562},
publisher = {Elsevier (Academic Press), San Diego, CA},
doi = {10.1016/j.hm.2010.05.002},
abstract = {The paper discusses Newton's attempts to a unitary view of mathematics, i.e. his attempts to integrate the new methods of infinitesimal calculus --- his method of fluxions --- into the framework of finite Cartesian algebra and classical geometry. This topic is discussed by several examples from Newton's papers and the ``Principia". Newton's approach is compared to Descartes' methods, and the examples are discussed very clearly to show how Newton tries to approach and/or demonstrate his results obtained by the method of fluxions by more classical methods. Also, the reasons of Newton's unsuccessful attempt to compose a treatise that would describe all his results obtained by the ``new" methods integrated into the classical mathematics of ancient Greece.},
reviewer = {Franka Miriam Br\"uckler (Zagreb)},
msc2010 = {A30xx},
identifier = {2011b.00043},
}