William Oughtred's Clavis mathematicae, first published in 1631, was regarded for the remainder of the seventeenth century as a classic text in algebra, reprinted, translated, and explained for over 70 years. Yet its content was limited, its style obscure and its notation old-fashioned even when it was first written, and it now seems extraordinary that it should have had such a long life. The early success of the book, and the great esteem in which Oughtred was held by contemporary and (...) later mathematicians, can only be understood in the light of the general state of algebra teaching in England during the first half of the seventeenth century. In later years the book was kept alive by the efforts of one of its greatest admirers, John Wallis. The aim of this paper is to set the story of the Clavis into the wider context of English algebra, and the political background of the time. (shrink)

Summary This paper investigates the fate of Thomas Harriot's algebra after his death in 1621 and, in particular, the largely unsuccessful efforts of seventeenth-century mathematicians to promote it. The little known surviving manuscripts of Nathaniel Torporley have been used to elucidate the roles of Torporley and Walter Warner in the preparation of the Praxis, and a partial translation of Torporley's important critique of the Praxis is offered here for the first time. The known whereabouts of Harriot's mathematical papers, both originals (...) and copies, during the seventeenth century and later are summarised. John Wallis's controversial 1685 account of Harriot's algebra is examined in detail and it is argued that John Pell's influence on Wallis was far more significant than has previously been realised. The paper ends with a reassessment of Harriot's underrated and important contribution to the development of modern algebra. (shrink)

A superb work of scholarship on the seventeenth century mathematician John Pell, containing new and detailed biographical material and the first complete edition of the Pell-Cavendish correspondence.