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The mathematician John Pell was a member of that golden generation of scientists Boyle, Wren, Hooke, and others which came together in the early Royal Society. Although he left a huge body of manuscript materials, he has remained an extraordinarily neglected figure, whose papers have never been properly explored. This book, the first ever full-length study of Pell, presents an in-depth account of his life and mathematical thinking, based on a detailed study of his manuscripts. It not only restores to his proper place in history a figure who was one of the leading mathematicians of his day; it also brings to life a strange, appealing, but awkward character, whose failure to publish his discoveries was caused by powerful scruples. In addition, this book shows that the range of Pell's interests extended far beyond mathematics. He was a key member of the circle of the 'intelligencer' Samuel Hartlib; he prepared translations of works by Descartes and Comenius; in the 1650s he served as Cromwell's envoy to Switzerland; and in the last part of his life he was an active member of the Royal Society, interested in the whole range of its activities. The study of Pell's life and thought thus illuminates many different aspects of 17th-century intellectual life. The book is in three parts. The first is a detailed biography of Pell; the second is an extended essay on his mathematical work; the third is a richly annotated edition of his correspondence with Sir Charles Cavendish. This correspondence, which has often been cited by scholars but has never been published in full, is concerned not only with mathematics but also with optics, philosophy, and many other subjects; conducted mainly while Pell was in the Netherlands and Cavendish was also on the Continent, it is an unusually fascinating example of the correspondence that flourished in the 17th-century 'Republic of letters'. This book will be an essential resource not only for historians of mathematics, science, and philosophy, but also for intellectual and cultural historians of early modern Europe.
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This authoritative work on the 17th-century mathematician John Pell contains new and detailed biographical material and the complete Pell-Cavendish correspondence.
William Gascoigne (c.1612-44) was the inventor of the telescopic sight and micrometer (instruments crucial to the advance of astronomy). His name is now known to historians of science around the world. For some considerable time after his tragic death at the age of 32 in the English Civil War, however, it seemed as if his achievements would be consigned to oblivion. Most of his papers were lost and even the few that survived have largely disappeared. This is the story of how his work was rescued. Into this story is woven an account of the state of astronomy and optics during Gascoigne’s lifetime, so that the reader can appreciate the significance of his discoveries.
John Birchensha (c.1605-?1681) is chiefly remembered for the impression that his theories about music made on the mathematicians, natural philosophers and virtuosi of the Royal Society in the 1660s and 1670s, and for inventing a system that he claimed would enable even those without practical experience of music to learn to compose in a short time by means of 'a few easy, certain, and perfect Rules'-his most famous composition pupil being Samuel Pepys in 1662. His great aim was to publish a treatise on music in its philosophical, mathematical and practical aspects (which would have included a definitive summary of his rules of composition), entitled Syntagma music Subscriptions for this book were invited in 1672-3, and it was due to be published by March 1675; but it never appeared, and no final manuscript of it survives. Consequently knowledge about his work has hitherto remained extremely sketchy. Recent research, however, has brought to light a number of manuscripts which allow us at last to form a more complete view of Birchensha's ideas. Almost none of this material has been previously published. The new items include an autograph treatise of c.1664 ('A Compendious Discourse of the Principles of the Practicall & Mathematicall Partes of Musick') which Birchensha presented to the natural philosopher Robert Boyle, and which covers concisely much of the ground that he intended to cover in Syntagma music a detailed synopsis for Syntagma music hich he prepared for a meeting of the Royal Society in February 1676; and an autograph notebook (now in Brussels) containing his six rules of composition with music examples, presumably written for a pupil. Bringing all this material together in a single volume will allow scholars to see how Birchensha's rules and theories developed over a period of fifteen years, and to gain at least a flavour of the lost Syntagma music
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Empires of Knowledge charts the emergence of different kinds of scientific networks – local and long-distance, informal and institutional, religious and secular – as one of the important phenomena of the early modern world. It seeks to answer questions about what role these networks played in making knowledge, how information traveled, how it was transformed by travel, and who the brokers of this world were. Bringing together an international group of historians of science and medicine, this book looks at the changing relationship between knowledge and community in the early modern period through case studies connecting Europe, Asia, the Ottoman Empire, and the Americas. It explores a landscape of understanding (and misunderstanding) nature through examinations of well-known intelligencers such as overseas missions, trading companies, and empires while incorporating more recent scholarship on the many less prominent go-betweens, such as translators and local experts, which made these networks of knowledge vibrant and truly global institutions. Empires of Knowledge is the perfect introduction to the global history of early modern science and medicine.