By Ian Tweddle
James Stirling's "Methodus Differentialis" is among the early classics of numerical research. It comprises not just the consequences and ideas for which Stirling is mainly remembered, for instance, Stirling numbers and Stirling's asymptotic formulation for factorials, but in addition a wealth of fabric on variations of sequence and restricting methods. a magnificent selection of examples illustrates the efficacy of Stirling's equipment via numerical calculations, and a few germs of later principles, significantly the Gamma functionality and asymptotic sequence, also are to be came upon.
This quantity offers a brand new translation of Stirling's textual content that includes an in depth sequence of notes during which Stirling's effects and calculations are analysed and ancient heritage is equipped. Ian Tweddle areas the textual content in its modern context, but additionally relates the cloth to the pursuits of practicing mathematicians at the present time. transparent and obtainable, this publication can be of curiosity to mathematical historians, researchers and numerical analysts.