By Ian Tweddle
James Stirling's "Methodus Differentialis" is likely one of the early classics of numerical research. It includes not just the consequences and concepts for which Stirling is mainly remembered, for instance, Stirling numbers and Stirling's asymptotic formulation for factorials, but additionally a wealth of fabric on differences of sequence and restricting approaches. a powerful choice of examples illustrates the efficacy of Stirling's tools by way of numerical calculations, and a few germs of later rules, significantly the Gamma functionality and asymptotic sequence, also are to be came upon.
This quantity provides a brand new translation of Stirling's textual content that includes an intensive sequence of notes during which Stirling's effects and calculations are analysed and old historical past is equipped. Ian Tweddle locations the textual content in its modern context, but in addition relates the fabric to the pursuits of training mathematicians this day. transparent and available, this booklet might be of curiosity to mathematical historians, researchers and numerical analysts.