James Stirling’s Methodus Differentialis

An Annotated Translation of Stirling’s Text

By:

Ian Tweddle

Format:

Hardback

Series:

Sources and Studies in the History of Mathematics and Physical Sciences

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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.

Release date NZ

September 2nd, 2003

Author

Ian Tweddle

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

VIII, 296 p.

Pages

296

Series

Sources and Studies in the History of Mathematics and Physical Sciences

Dimensions

156x234x19

ISBN-13

9781852337230

Product ID

2428174

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