James Stirling s Methodus Differentialis

This is a new translation designed to make this classic and important text more generally accessible. It is supplemented with extensive notes and historical background, and will be of interest to mathematical historians, researchers, and advanced undergraduate and postgraduate students.

A new translation makes this classic and important text more generally accessible Supplemented with an extensive series of notes: Stirling's proofs and calculations are explained and effective error bounds are obtained for his calculations Historical background places the text in its contemporary context

Contenu
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.