James Stirling’s Methodus Differentialis
An Annotated Translation of Stirling’s Text
Seiten
2012
|
Softcover reprint of the original 1st ed. 2003
Springer London Ltd (Verlag)
978-1-4471-1127-6 (ISBN)
Springer London Ltd (Verlag)
978-1-4471-1127-6 (ISBN)
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.
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 ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Schlagworte | Acceleration of convergence • Analysis • History of Mathematics • Interpolation • Numerical analysis • Stirling numbers • Stirling's formula |
| ISBN-10 | 1-4471-1127-3 / 1447111273 |
| ISBN-13 | 978-1-4471-1127-6 / 9781447111276 |
| Zustand | Neuware |
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