Tweddle, I. (2003) James Stirling's methodus differentialis. Springer. ISBN 1-85233-723-0Full text not available in this repository.
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.
|Keywords:||stirling numbers, asymptotic formula, factorials, James Stirling, biography, mathematician, gamma function, mathematics, Mathematics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Mathematics and Statistics > Mathematics|
|Depositing user:||Strathprints Administrator|
|Date Deposited:||17 Nov 2006|
|Last modified:||02 Feb 2017 01:21|