Leipzig, Grosse & Gleditsch, 1683. 4to. Without wrappers. In: "Acta Eruditorum Anno MDCLXXXIII", No. V (May issue). Pp.177-224 (entire issue offered). Tschirnhaus' paper: pp. 204-207. Some browning as usual. With titlepage to the volume 1683. Titlepage with a stamp and a faint dampstain.
First edition of Tschirnhaus' "Tschirnhaus Tranformation".
Tschirnhaus work intensively on finding a general method for solving equations of higher of higher degree. "His transformations constituted the most promising contribution to the solution of equations during the seventeenth century; but his elimination of the second and third coefficients by means of such transformation was far from adequate for the solution of the quintic.(Boyer. A History of Mathematics, 1968, 472 p.).
Tschirnhaus (1651-1708) , a Saxon nobleman, had as wide interest as acquaintances: He studied in Leyden, served in the Dutch army, visited England and Paris several times. He set up a glassworks in Italy and is said to have introduced Porcelain to Europe. He wrote about philosophy and mathematics and was a close friend of Leibniz.
"In mathematics, a Tschirnhaus transformation, also known as Tschirnhausen transformation, is a type of mapping on polynomials developed by Ehrenfried Walther von Tschirnhaus in 1683. It may be defined conveniently by means of field theory, as the transformation on minimal polynomials implied by a different choice of primitive element. This is the most general transformation of an irreducible polynomial that takes a root to some rational function applied to that root."(Wikipedia).
Parkinson "Breakthroughs 1683 M.