Julius plucker short biography

Bibliography [ edit ]. Awards [ edit ]. See also [ edit ]. References [ edit ]. Blackwood and sons,pp. Bulletin of the American Mathematical Society.

Julius plucker short biography

MR Maths History. External links [ edit ]. BonnKingdom of Prussia. All content from Kiddle encyclopedia articles including the article images and facts can be freely used under Attribution-ShareAlike license, unless stated otherwise. Cite this article:. This page was last modified on 1 Octoberat He was essentially a geometer but dedicated many years of his life to physical science.

Their field of research was not the differential geometry of Monge and Gauss, but rather the analytic and projective geometry of Poncelet and Gergonne. His understanding of the so-called reading in the formulas enabled him to achieve geometric results while avoiding processes of elimination, and his algebraic elegance was surpassed in some matters only by Hesse.

Simultaneously, Mobius introduced his barycentric coordinates, another type of homogeneous point coordinates. At the end of volume II he presented a detailed explanation of the principle of reciprocity, now called the principle of duality. Ordnung enthaltenddiscussed general or projective point and line coordinates for treating conic sections, the greater part of the book covered plane cubic curves.

The three finite points where the three asymptotes of a cubic intersect the curve lie on a straight line. A real affine classification based upon these constructions leads to different types. He considered not only the asymptotic lines, but also asymptotic conic sections and other curves osculating the given cubic in a certain degree.

For the asymptotic lines he corrected some false results given by Euler in Introduction in anatysin infinitorum Although the increasing predominance of projective and birational geometry abated interest in these particulars about the behavior of curves at infinity, the second part of Theorie der algebraischen Kurven was of more permanent value.

He thus prepared the foundation for the results later obtained by Hesse. A nonsingular quartic curve that possesses twenty-eight double tangents is the central fact in his theory of these curves. He also studied the problem of focal points of algebraic curves, the osculation of two surfaces, and wave surface, and thus became concerned with algebraic and analytic space geometry.

This field was also discussed in System der Geometrie des Raumes in neuer analytischer Behandltmgsweisein which he treated in an elegant manner the known facts of analytic geometry. His own contributions in this work, however, were not as significant as those in his earlier books. His mathematical accomplishments during this second period were published in Neue Geometrie des Raumes gegriindet auf die Betrachtung der Geraden als Raum-elementwhich appeared in Subsequent work by Klein and Segre interpreted line geometry of R 3 as a geometry of points on a quadric Q 4 of P 5.

Complex surfaces are surfaces of fourth order and class and are generated by the totality of lines belonging to a quadratic complex that intersects a given line. His interest in geometric shapes and details during this period is evident in the many models he had manufactured. Sometimes he offered the students separate tutorials in German and in French.

Promoted to extraordinary professor at Bonn inhe went to Berlin in and spent a year as an extraordinary professor at the University while at the same time he taught at the Friedrich Wilhelm Gymnasium. In particular he sought to bring an excitement to his teaching, particularly for the best students, by using examples from his own research.

Things were not so simple, however, for the chair of mathematics in Berlin had just been filled by Jakob Steiner. This might have been a strength had the two men been on julius plucker short biography terms, but their personalities meant that their relationship was one of continual conflict. He became an ordinary professor of mathematics at the University of Halle on 7 November and remained there for four semesters.

He was appointed to fill the chair previously held by Heinrich Scherk who, after less than two years in post, had left Halle for the chair at the University of Kiel. He returned to the Rheinische Friedrich-Wilhelms University of Bonn in to fill the chair of mathematics. In he turned to physics, accepting the chair of physics at Bonn and working on magnetism, electronics and atomic physics.

He anticipated Kirchhoff and Bunsen in indicating that spectral lines were characteristic for each chemical substance. He made significant discoveries along with his student Johann Wilhelm Hittorf - Together they [ 2 ] He made other important discoveries which would eventually lead to the invention of a cathode ray tube [ 8 ] :- [ In ] he became interested in Faraday 's work.

Faraday had begun to experiment with electrical discharge in gases, noting the spark effect. It remained for a persistent time. However, his student Johann Hittorf wrote [ 2 ] Plucker never attained great manual dexterity as an experimenter.