By Alexander Jones, Christine Proust, John M. Steele
This e-book explores aspects of Otto Neugebauer's occupation, his effect at the heritage and perform of arithmetic, and the ways that his legacy has been preserved or reworked in fresh many years, expecting the instructions within which the research of the heritage of technological know-how will head within the twenty-first century. Neugebauer, greater than the other student of modern occasions, formed the way in which we understand premodern technology. via his scholarship and impact on scholars and collaborators, he inculcated either an method of ancient examine on historical and medieval arithmetic and astronomy via detailed mathematical and philological learn of texts, and a imaginative and prescient of those sciences as platforms of data and procedure that unfold outward from the traditional close to japanese civilizations, crossing cultural limitations and circulating over a major geographical expanse of the outdated international from the Atlantic to India.
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Additional resources for A Mathematician’s Journeys: Otto Neugebauer and Modern Transformations of Ancient Science
Neugebauer’s transition to pure mathematics was most definitely hastened by his experiences in Courant’s seminar on algebraic functions. Countless stories have been told about episodes that took place in Göttingen seminars, many of them reflecting their highly charged, competitive atmosphere. All participants surely knew that their performances would be scrutinized carefully, not only by the professors but even more so by their peers. One needed a thick skin in Göttingen, especially in the seminars, which served as true testing grounds for young mathematical talent.
Neugebauer’s final exercise as a student began late in the afternoon on 21 April 1926, when he faced a formidable battery of examiners: Hilbert, Courant, and Born. Hilbert’s questions dealt with curves and surfaces, covering both topological and algebraic properties. He asked about Plücker’s formulas for the singularities of plane curves and their duals, then he turned to the curvature properties of surfaces and their associated geodesics. Clearly, 35 Neugebauer’s Rigorosum took place on 21 April, 1926.
Nobody would have had the idea that the moon could rotate on a circle around the earth and all philosophers would have declared it as a logical necessity that a moon shows six half moons between two full moons. ” He even drew a figure to illustrate this (Neugebauer 1969, 152–153). 18 Neugebauer Papers, IAS, Box 7, Drei Vorträge aus dem Gebiet der algebraischen Funktionen. From Graz to Göttingen: Neugebauer’s Early Intellectual Journey 19 No doubt Courant had chosen this topic because he wanted to learn something about the arithmetical approach to algebraic functions, a theory that was still quite unfamiliar in Göttingen.