James Stirling's Methodus Differentialis An Annotated Translation of Stirling's Text |
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| Author:
| Tweddle, Ian |
| Series title: | Sources and Studies in the History of Mathematics and Physical Sciences Ser. |
| ISBN: | 978-1-4471-1127-6 |
| Publication Date: | Nov 2012 |
| Publisher: | Springer London, Limited
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| Imprint: | Springer |
| Book Format: | Paperback |
| List Price: | USD $109.99USD $109.99 |
Book Description:
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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...
More Description
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.