| 书目名称 | From Discrete to Continuous | | 副标题 | The Broadening of Nu | | 编辑 | Katherine Neal | | 视频video | | | 丛书名称 | Studies in History and Philosophy of Science | | 图书封面 |  | | 描述 | .In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number .versus. continuous magnitude was challenged in the early modern period in several ways...This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept. . | | 出版日期 | Book 2002 | | 关键词 | Henry Briggs; Isaac Barrow; John Napier; John Wallis; algebraic symbolism; logarithms; number concept | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-0077-1 | | isbn_softcover | 978-90-481-5993-2 | | isbn_ebook | 978-94-017-0077-1Series ISSN 1871-7381 Series E-ISSN 2215-1958 | | issn_series | 1871-7381 | | copyright | Springer Science+Business Media Dordrecht 2002 |
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发表于 2025-3-21 19:51:50
