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The article focuses on the contribution of professor John Wallis in examining the origin of the Royal Society in London, England. It is evident that Wallis devote his life in studying the natural philosophy in the country from 1645-49 with the purpose of examining popular subjects in astronomy, medicine and mechanics. He considers the discussion among physicians and scholars a great origin of the Royal Society. However, his main concern is to uphold and emphasize the intellectual focus of the society noting that it is established based on the social and environmental concerns of scholars and historians.

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. [ABSTRACT FROM AUTHOR]

Presents information on the contribution made by the work of mathematicians John Wallis and Isaac Barrow to the development of mathematics in early modern England. Reference to tension between algebraic techniques and traditional geometric mode of thought; Comparison of Wallis' and Barrow's mathematical styles; Examination of Wallis' and Barrow's views on ancient and modern mathematics.