James Stirling’s Methodus Differentialis - Ian Tweddle

James Stirling’s Methodus Differentialis

An Annotated Translation of Stirling’s Text

(Autor)

Buch | Hardcover
296 Seiten
2003
Springer London Ltd (Verlag)
978-1-85233-723-0 (ISBN)
106,99 inkl. MwSt
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.

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.

Reihe/Serie Sources and Studies in the History of Mathematics and Physical Sciences
Zusatzinfo VIII, 296 p.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geschichte der Mathematik
ISBN-10 1-85233-723-0 / 1852337230
ISBN-13 978-1-85233-723-0 / 9781852337230
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich