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  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : Munksgaard International Publishers
    Centaurus 45 (2003), S. 0 
    ISSN: 1600-0498
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Medicine , Natural Sciences in General
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Cambridge : Cambridge University Press
    Science in context 10 (1997), S. 431-451 
    ISSN: 0269-8897
    Source: Cambridge Journals Digital Archives
    Topics: History , Natural Sciences in General
    Notes: The ArgumentThe major part of the mathematical “classics” in Hebrew were translated from Arabic between the second third of the thirteenth century and the first third of the fourteenth century, within the northern littoral of the western Mediterranean. This movement occurred after the original works by Abraham bar Hiyya and Abraham ibn Ezra became available to a wide readership. The translations were intended for a restricted audience — the scholarly readership involved in and dealing with the theoretical sciences. In some cases the translators themselves were professional scientists (e.g., Jacob ben Makhir); in other cases they were, so to speak, professional translators, dealing as well with philosophy, medicine, and other works in Arabic.In aketshing this portrait of the beginning of Herbrew scholarly mathematics, my aim has been to contribute to a better understanding of mathematical activity as such among Jewish communities during this period.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Cambridge : Cambridge University Press
    Arabic sciences and philosophy 6 (1996), S. 63-87 
    ISSN: 0957-4239
    Source: Cambridge Journals Digital Archives
    Topics: Natural Sciences in General
    Notes: This article analyzes new material on the history of the amicable numbers. It discusses Hebrew texts which throw new light on the diffusion in Medieval Europe of Ṯābit ibn Qurra's (9th century) work. We find Ṯābit's theorem on amicable numbers in a Hebrew translation, made in Saragossa in 1395, of an arithmetical commentary written by Abū al-Ṣalt al-Andalusī (ca. 1068–1134), and also in an original Hebrew text probably written by the Jewish Provençal scholar Qalonymos ben Qalonymos (1287 – after 1329). These texts lend strong support to the surmise that the Arabic tradition concerning amicable numbers could not have remained unknown to European mathematicians before the work of Descartes and Fermat in the 17th century.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Cambridge : Cambridge University Press
    Arabic sciences and philosophy 2 (1992), S. 39-82 
    ISSN: 0957-4239
    Source: Cambridge Journals Digital Archives
    Topics: Natural Sciences in General
    Notes: Euclid's Elements were translated into Hebrew from Arabic in the 13th century; but precious few of the Arabic commentaries have come down to us in a Hebrew version (al-Fārābī, Ibn al-Hayṯam). Nonetheless, a study of several texts dealing with the Fifth Postulate (the Parallel Postulate) of Book I reveals that the Hebrew authors are greatly indebted to Arabic sources.We shall examine three attempted proofs of the Parallel Postulate. The two attempts by Moses ha-Levi of Seville (13th century) and Alfonso of Valladolid (14th century) are mathematically unconvincing. Nevertheless they are interesting historically: Moses ha-Levi exploits the movement of lines which are infinite in actu; and Alfonso, starting from a critique of Ibn al-Hayṯam and al-Nayrīzī, claims to innovate in the use of the method of superposition.In contrast, Gersonides' attempt (14th century) is a well-articulated series of premises and proofs, including several arguments which we have traced back to the Taḥrīr Uṣūl Uqlīdis of Pseudo-Ṭūsī. We feel it is important to emphasize this relationship, even though it is impossible to establish the route by which these arguments found their way to Gersonides.
    Type of Medium: Electronic Resource
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  • 5
    Publication Date: 2017-05-01
    Print ISSN: 0021-8286
    Electronic ISSN: 1753-8556
    Topics: Physics
    Published by Sage Publications
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