A new translation makes this classic and important text more generally accessible. The text is placed in its contemporary context, but also related to the interests of practising mathematicians today. This book will be of interest to mathematical historians, researchers, and numerical analysts.
An Annotated Translation of Stirlings Text
Focusing on numerical analysis, James Stirling's "Methodus Differentialis" presents foundational concepts such as Stirling numbers and an asymptotic formula for factorials. The work delves into transformations of series and limiting processes, supported by numerous examples that showcase the practical application of Stirling's techniques. Additionally, it hints at future developments in mathematics, including the Gamma function and asymptotic series, making it a significant contribution to the field.
Colin MacLaurin's contributions to mathematics, particularly in calculus and gravitation, are highlighted through his groundbreaking "Treatise of Fluxions." This collection not only includes his well-known essays on body collisions and tides, which earned him recognition from the Royal Academy of Sciences, but also features a translation of his early MA dissertation on gravity. This compilation offers a rare opportunity to explore MacLaurin's foundational work and insights into Newtonian principles, making significant historical mathematical texts accessible for the first time.
Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria. While Fermat and others made earlier attempts to explain the Porisms, it is Robert Simson who is generally recognised as the first person to achieve a genuine insight into the true nature of the subject.In this book, Ian Tweddle, a recognised authority on 18th century Scottish mathematics, presents for the first time a full and accessible translation of Simson's work. Based on Simson's early paper of 1723, the treatise, and various extracts from Simson's notebooks and correspondence, this book provides a fascinating insight into the work of an often-neglected figure. Supplemented by historical and mathematical notes and comments, this book is a valuable addition to the literature for anyone with an interest in mathematical history or geometry.