Read e-book online A Mathematician’s Journeys: Otto Neugebauer and Modern PDF

By Alexander Jones, Christine Proust, John M. Steele

ISBN-10: 331925863X

ISBN-13: 9783319258638

ISBN-10: 3319258656

ISBN-13: 9783319258652

This ebook explores aspects of Otto Neugebauer's occupation, his influence at the heritage and perform of arithmetic, and the ways that his legacy has been preserved or remodeled in fresh many years, waiting for the instructions within which the research of the background of technological know-how will head within the twenty-first century. Neugebauer, greater than the other pupil of contemporary occasions, formed the best way we understand premodern technology. via his scholarship and effect on scholars and collaborators, he inculcated either an method of historic study on historical and medieval arithmetic and astronomy via designated mathematical and philological examine of texts, and a imaginative and prescient of those sciences as structures of data and technique that unfold outward from the traditional close to jap civilizations, crossing cultural obstacles and circulating over an enormous geographical expanse of the previous global from the Atlantic to India.

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Indeed, this part of his final oral exams confirms that, mathematically speaking, Neugebauer probably stood closer to Landau than to his mentor, Richard Courant. The latter’s verdict went even beyond Hilbert’s “sehr gut,” normally the highest grade given; in analysis he received an “excellent” (“ausgezeichnet”). Such a high mark was not to be expected in theoretical physics, especially since he had done virtually no course work in this area since coming to Göttingen. Max Born began by asking about Coulomb’s law, electrostatics, and the potential theory of electromagnetic fields, leading up to Maxwell’s theory and equations.

This amounts to dismembering our science, which runs the risk of losing a large part of our most valuable possessions. … no: Brouwer is not, as Weyl contends, the revolution but rather only the repetition of a Putsch attempt with old means. If earlier it was carried out more sharply and still completely lost out, now, with the state so well armed and protected through Frege, Dedekind, and Cantor, it is doomed to failure from the outset. 28 Indeed, he himself had long promoted the purely axiomatic method as the only viable approach that could secure the foundations of analysis as well as Cantor’s theory of infinite sets.

After describing the famous Lesezimmer in the old Auditorienhaus, he went on to speak of Courant’s “first revolutionary step” as an empire builder in Göttingen: 19 Young Friedrich Hund described this atmosphere many years later, see (Mehra and Rechenberg 1982, 345). ” Indeed the total library budget at that time was some 500 Marks (about $120) per year. (Neugebauer 1963, 2) Money was indeed a major concern at Courant’s institute, though there were plenty of others as well. Neugebauer went on to describe how Courant managed to cope with the horrendous inflation that ruined so many lives during these terrible times.

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A Mathematician’s Journeys: Otto Neugebauer and Modern Transformations of Ancient Science by Alexander Jones, Christine Proust, John M. Steele

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