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\iteman{ZMATH 2011b.00043}
\itemau{Galuzzi, Massimo}
\itemti{Newton's attempt to construct a unitary view of mathematics.}
\itemso{Hist. Math. 37, No. 3, 535-562 (2010).}
\itemab
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.
\itemrv{Franka Miriam Br\"uckler (Zagreb)}
\itemcc{A30}
\itemut{Isaac Newton; Ren\'{e} Descartes; method of fluxions; analysis and geometry}
\itemli{doi:10.1016/j.hm.2010.05.002}
\end