James Stirling's methodus differentialis

I. Tweddle

    Research output: Book/ReportBook

    Abstract

    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.
    Original languageEnglish
    Place of PublicationLondon, UK
    PublisherSpringer
    Number of pages295
    ISBN (Print)1-85233-723-0
    Publication statusPublished - Aug 2003

    Keywords

    • stirling numbers
    • asymptotic formula
    • factorials
    • James Stirling
    • biography
    • mathematician
    • gamma function
    • mathematics

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