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Emil Artin und Helmut Hasse - Die Korrespondenz 1923-1934

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ISBN: 9783940344502 Year: DOI: 10.17875/gup2008-61 Language: German
Publisher: Universitätsverlag Göttingen
Subject: Science (General) --- Mathematics
Added to DOAB on : 2011-11-04 00:00:00
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Abstract

This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin‘s letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin‘s L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse‘s mathematical letters and notes contained in the Göttingen Handschriftenabteilung.

Le livre sur les calculs effectués avec des bâtonnets : Un manuscrit du – iie siècle excavé à Zhangjiashan

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ISBN: 9782858313099 DOI: 10.4000/books.pressesinalco.18815 Language: French
Publisher: Presses de l’Inalco
Subject: History
Added to DOAB on : 2019-12-06 13:15:40
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L’ouvrage présente, traduit et commente le Suan shu shu 算數書, un manuscrit chinois du – IIe siècle excavé pendant l’hiver 1983-84. Sa découverte a bouleversé les connaissances sur les sources anciennes des mathématiques en Chine. La traduction et ses commentaires permettent de mieux comprendre le texte et son contexte, ils mettent en résonnance l’archéologie des textes excavés, le chinois ancien, l’histoire des mathématiques et la vie en Chine sous les Han. La traduction française est accompagnée du texte original, de sa transcription pinyin et d’un mot-à-mot.

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