Ridders' method

René François Walter de Sluse (1622–1685) was a French mathematician, intellectual and clergyman who wrote many books about mathematics and contributed to the development of the subject.

He studied at a university in Rome, and later moved to Liège. His position in the church prevented him from visiting other mathematicians, but he corresponded with the mathematicians and intellectuals of the day.

Mathematical work

Sluse contributed to the development of calculus and this work focuses upon spirals, tangents, turning points and points of inflection. He and Johannes Hudde found algebraic algorithms for finding tangents, minima and maxima that were later utilized by Isaac Newton. These algorithms greatly improved upon the complicated algebraic methods of Pierre de Fermat and René Descartes, who themselves had improved upon Roberval's kinematic, but geometric, non-algorithmic methods of determining tangents.

Augustus De Morgan has the following to say about de Sluse's contribution to Newton's method of Fluxions in his discussion of the Leibniz–Newton calculus controversy.

When they state that Collins had been four years in circulating the letter in which the method of fluxions was sufficiently described to any intelligent person, they suppress two facts: first, that the letter itself was in consequence of Newton's learning that Sluse had a method of tangents; secondly, that it revealed no more than Sluse had done. ...this method of Sluse is never allowed to appear ...Sluse wrote an account of the method which he had previously signified to Collins, for the Royal Society, for whom it was printed. The rule is precisely that of Newton... To have given this would have shown the world that the grand communication which was asserted to have been sent to Leibniz in June 1676 might have been seen in print, and learned from Sluse, at any time in the previous years: accordingly it was buried under reference. ...Leibniz had seen Hudde at Amsterdam, and had found that Hudde was in possession of even more than Sluse.

There is a family of curves named after de Sluse: the curves represented by the following equation with positive integer values of m, n and p:

$y^n=k(a-x{)}^p{x}^m$

Other work

He also wrote in the subject areas of life science, physics, history and theology.

See also

• List of Roman Catholic scientist-clerics

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

• Hofmann, Joseph Ehrenfried (1959). Classical Mathematics. Translated from the German Geschichte der Mathematik by Henrietta O. Midonick. New York: Philosophical Library Inc., p. 34.
• John J. O'Connor and Edmund F. Robertson, René François Walter de Sluze, MacTutor History of Mathematics archive.
• L'évolution des sciences et des techniques en Wallonie (French).

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