9/3/2023 0 Comments Hyperspaces geometrythe two closely connected works remain surprised by the confidence and breadth of vision and mathematical means with which this young man, Corrado Segre, deals with this broad topic. Guido Castelnuovo writes in, forty years after Segre wrote his thesis:. The thesis received high praise and he published it as two papers in Volume 36 of the Memoirs of the Turin Academy of Sciences. It was in two parts, one on quadrics in higher dimensional spaces with the other part on the geometry of the right line and of its quadratic series. The degree was awarded for his thesis Studio sulle quadriche in uno spazio lineare ad n dimensioni ed applicazioni alla geometria della retta e specialmente delle sue serie quadratiche Ⓣ ( Study on quadrics in a linear space of n dimensions and applications to the geometry of the line, and especially of its quadratic series ) which he wrote while being advised by D'Ovidio. He composed his thesis in that terrible predicament, and took his degree in July 1883 with honours. The fourth year of university (1882- 83) was especially difficult for him, a year that was exceedingly painful, during which my family went through economic collapse and the sad end of my poor father's life. However this fourth and final year proved to be a very difficult one for him as his brother Arturo related (see and also ):. Segre fully understood the importance of mastering both the geometrical methods as well as those of analysis. In his fourth and final year of study (1882- 83), in addition to the compulsory courses on Higher Mechanics, Astronomy and Mathematical Physics, Segre again followed the course of higher geometry given by D'Ovidio and the analysis course by Faà di Bruno. In his lectures D'Ovidio examined the works of Veronese on the projective geometry of hyperspaces and those of Weierstrass on bilinear and quadratic forms. According to these ideas, the geometry of ruled space is equivalent to the study of a quadratic variety of four dimensions imbedded in a linear space of five dimensions. In 1881- 82 D'Ovidio proposed as the topic of his course on higher geometry, the geometry of ruled spaces and Segre, just eighteen, was inspired to make a personal elaboration of Battaglini's theory of line complexes, adding new properties which he presented in a lecture at the school of Education :-ĭ'Ovidio started from the ideas of Plücker, which had been taken up and developed by Felix Klein. Gino Loria, who was to write famous texts on the history of mathematics, was a fellow student of Segre's and they remained friends throughout their lives. Faà di Bruno was particularly important as a teacher for he had studied in Paris under Cauchy and so brought a wider European breadth to his teaching. He has some outstanding teachers, Enrico D'Ovidio taught him geometry while Angelo Genocchi and Francesco Faà di Bruno taught him analysis. He entered the University of Turin in 1879 and there studied for his laurea in mathematics. Although Abramo Segre, Corrado's father, wanted him to train to be an engineer, his experiences of learning mathematics from Giuseppe Bruno made him very keen to study mathematics at university. Segre, only 16 years old, was awarded his diploma and received a prize of 300 lire from the Chamber of Commerce for being ranked first in his class at the Technical Institute. ![]() At this time Giuseppe Bruno was also teaching descriptive geometry at the University of Turin and he gave the young Segre a great love of geometry. The young Corrado completed his secondary education at the Sommeiller Technical Institute in Turin where he had Giuseppe Bruno as a mathematics teacher. Biography Corrado Segre parents were Abramo Segre and Estella De Benedetti.
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