| 书目名称 | James Stirling’s Methodus Differentialis | | 副标题 | An Annotated Transla | | 编辑 | Ian Tweddle | | 视频video | | | 概述 | A new translation makes this classic and important text more generally accessible.Supplemented with an extensive series of notes: Stirling‘s proofs and calculations are explained and effective error b | | 丛书名称 | Sources and Studies in the History of Mathematics and Physical Sciences | | 图书封面 |  | | 描述 | .James Stirling‘s "Methodus Differentialis" is one of the early classics of numerical analysis. It contains not only the results and ideas for which Stirling is chiefly remembered, for example, Stirling numbers and Stirling‘s asymptotic formula for factorials, but also a wealth of material on transformations of series and limiting processes. An impressive collection of examples illustrates the efficacy of Stirling‘s methods by means of numerical calculations, and some germs of later ideas, notably the Gamma function and asymptotic series, are also to be found. ..This volume presents a new translation of Stirling‘s text that features an extensive series of notes in which Stirling‘s results and calculations are analysed and historical background is provided. Ian Tweddle places the text in its contemporary context, but also relates the material to the interests of practising mathematicians today. Clear and accessible, this book will be of interest to mathematical historians, researchers and numerical analysts.. | | 出版日期 | Book 2003 | | 关键词 | Acceleration of convergence; Analysis; History of Mathematics; Interpolation; Stirling numbers; Stirling‘ | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-0021-8 | | isbn_softcover | 978-1-4471-1127-6 | | isbn_ebook | 978-1-4471-0021-8Series ISSN 2196-8810 Series E-ISSN 2196-8829 | | issn_series | 2196-8810 | | copyright | Springer-Verlag London 2003 |
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发表于 2025-3-21 17:30:16
