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Catalogue Information
Field name	Details
Dewey Class	510.9
Title	James Stirling’s Methodus Differentialis ([EBook] :) : An Annotated Translation of Stirling’s Text / / by Ian Tweddle.
Author	Tweddle, Ian
Other name(s)	SpringerLink (Online service)
Publication	London : : Springer London : : Imprint: Springer, , 2003.
Physical Details	VIII, 296 p. : online resource.
Series	Sources and studies in the history of mathematics and physical sciences
ISBN	9781447100218
Summary Note	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.:
Contents note	Introduction -- Background -- Some Mathematical Points -- Summary of the Contents of Stirling's Text -- Stirling's Principal Calculations -- Stirling's Text in Translation: Preface; Introduction; Part I: On the Summation of Series; Part II: On the Interpolation of Series -- Notes -- Appendix: Stirling's Letter to De Moivre Dated 17th June 1729 -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4471-0021-8
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . History . History of Mathematical Sciences . Mathematical analysis . Mathematics . Numerical Analysis . Authors: Tweddle, Ian . Corporate Authors: SpringerLink (Online service) . Series: Sources and studies in the history of mathematics and physical sciences . Classification: 510.9 .

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James Stirling’s Methodus Differentialis: An Annotated Translation of Stirling’s Text /

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