Search results for "Foundations of geometry"
showing 4 items of 4 documents
Segre and the Foundations of Geometry: From Complex Projective Geometry to Dual Numbers
2016
In 1886 Corrado Segre wrote to Felix Klein about his intention to study ‘geometrie projective pure’, completing and developing the work of von Staudt. He would continue this research project throughout the whole of his scientific life. In 1889, following a suggestion of Segre, Mario Pieri published his translation of the Geometrie der Lage, and from 1889 to 1890 Segre published four important papers, “Un nuovo campo di ricerche geometriche”, in which he completely developed complex projective geometry, considering new mathematical objects such as antiprojectivities and studying the Hermitian forms from a geometrical point of view with the related ‘hyperalgebraic varieties’. Segre developed …
Review††Edited by Adrian Rice and Antoni MaletAll books, monographs, journal articles, and other publications (including films and other multisensory…
2008
Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang
2004
Abstract In this work, we study the development of non-Desarguian geometry from David Hilbert to Ruth Moufang. We will see that a geometric model became a complicated interrelation between algebra and geometry.
Central Themes and Impact of Pieri’s Work
2021
The first book of this series, The Legacy of Mario Pieri in Geometry and Arithmetic (cited here as M&S 2007), presented an overview of Pieri’s life and research, and a deeper study of the background of his work in foundations of geometry and arithmetic.