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Titlebook: James Stirling’s Methodus Differentialis; An Annotated Transla Ian Tweddle Book 2003 Springer-Verlag London 2003 Acceleration of convergenc

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發(fā)表于 2025-3-21 17:30:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)James Stirling’s Methodus Differentialis
副標(biāo)題An Annotated Transla
編輯Ian Tweddle
視頻videohttp://file.papertrans.cn/501/500395/500395.mp4
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
叢書(shū)名稱(chēng)Sources and Studies in the History of Mathematics and Physical Sciences
圖書(shū)封面Titlebook: James Stirling’s Methodus Differentialis; An Annotated Transla Ian Tweddle Book 2003 Springer-Verlag London 2003 Acceleration of convergenc
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
關(guān)鍵詞Acceleration of convergence; Analysis; History of Mathematics; Interpolation; Stirling numbers; Stirling‘
版次1
doihttps://doi.org/10.1007/978-1-4471-0021-8
isbn_softcover978-1-4471-1127-6
isbn_ebook978-1-4471-0021-8Series ISSN 2196-8810 Series E-ISSN 2196-8829
issn_series 2196-8810
copyrightSpringer-Verlag London 2003
The information of publication is updating

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James Stirling’s Methodus Differentialis978-1-4471-0021-8Series ISSN 2196-8810 Series E-ISSN 2196-8829
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Introductione and asymptotic series (including that for ln .!) also appear.. Interpolation and quadrature are discussed and there is an impressive collection of calculations throughout to illustrate the efficacy of the methods presented.
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Appendix Stirling’s Letter to De Moivre Dated 19 June 1729in his . [43]. The main text is very similar to Stirling’s statement and discussion in Proposition 23. The numbers in the second calculation below are not as accurate as those in the corresponding calculation in Proposition 23, although the final result is the same in both places.
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