id: 05779672
dt: j
an: 2011b.00043
au: Galuzzi, Massimo
ti: Newton’s attempt to construct a unitary view of mathematics.
so: Hist. Math. 37, No. 3, 535-562 (2010).
py: 2010
pu: Elsevier (Academic Press), San Diego, CA
la: EN
cc: A30
ut: Isaac Newton; René Descartes; method of fluxions; analysis and geometry
ci:
li: doi:10.1016/j.hm.2010.05.002
ab: 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.
rv: Franka Miriam Brückler (Zagreb)