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Comprising fifteen essays by leading authorities in the history of mathematics, this volume aims to exemplify the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.
Exploring a year in the life of Stuart Britain
This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.
This is the first collection of Spinoza studies that deals exclusively with the language, style, and the transmission and editing of his texts. It includes investigations into the authorship of some minor texts, Spinoza’s Latinity, the Hebrew passages in the Tractatus theologico-politicus, his way of handling quotations and his use of the first person singular. It contains a full concordance of the Tractatus de intellectus emendatione, an inventory of the copies of Spinoza’s Posthumous Works in the Netherlands and an account of the editions produced in the nineteenth century. In addition, there are essays on the life and thought of Spinoza’s publisher Jan Rieuwertsz, on the question of who printed his books, and on principles and choices in editing. Contributors include: Fokke Akkerman, Wout Jac. van Bekkum, Michelle Beyssade, Eugenio Canone, Johan Gerritsen, Iiro Kajanto, Jelle Kingma, Jacqueline Lagrée, J.H. Leopold, Clasina G. Manusov-Verhage, Filippo Mignini, Pierre-François Moreau, H.J.M. Nellen, Michael John Petry, Esmée Schilte, Hans Gerhard Senger, Piet Steenbakkers, Pina Totaro, and J.J.V.M. de Vet.
It could certainly be argued that the way in which Hegel criticizes Newton in the Dissertation, the Philosophy of Nature and the lectures on the History of Philosophy, has done more than anything else to prejudice his own reputation. At first sight, what we seem to have here is little more than the contrast between the tested accomplishments of the founding father of modern science, and the random remarks of a confused and somewhat disgruntled philosopher; and if we are persuaded to concede that it may perhaps be something more than this - between the work of a clearsighted mathematician and experimentalist, and the blind assertions of some sort of Kantian logician, blundering about among th...
Professor Eric Forbes left behind at his death an important collection of the letters of John Flamsteed (1646-1719), First Astronomer Royal. A leading figure in the final phases of the seventeenth-century scientific revolution, his extensive correspondence with 129 British and foreign scholars all over the world touches on many of the scientific discussions of the day. A detailed, scholarly work of reference, The Correspondence of John Flamsteed, The First Astronomer Royal: Volume 1 is an essential guide to the exciting developments in scientific thinking that occurred during the seventeenth century. It supplements the published correspondence of Isaac Newton and Henry Oldenburg, and will be an invaluable research tool, not only for historians of astronomy, but also for researchers examining how scientific thought developed.
Newton's contributions to an understanding of the heavens and the earth are considered to be unparalleled. This very short introduction explains his scientific theories, and uses Newton's unpublished writings to paint a picture of an extremely complex man whose beliefs had a huge impact on Europe's political, intellectual, and religious landscape.
The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.