Acknowledgements.- Introduction by J. A. Stedall.- To the Most Distinguished and Worthy Gentleman and Most Skilled Mathematician, Dr. William Oughtre, Rector of the Church of Aldbury in the County of Surrey.- To the Most Respected Gentleman Doctor William Oughtred,Most Widely Famed Amongst Mathematicians, by John Wallis, Savilian Professor Of Geometry at Oxford.- Glossary.- Bibliography.

John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.