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This book consists of chapters that focus specifically on single figures that worked on Descriptive Geometry and also in Mechanisms Sciences and contain biographical notes, a survey of their work and their achievements, together with a modern interpretation of their legacy. Since Vitruvius in ancient times, and with Brunelleschi in the Renaissance, the two disciplines began to share a common direction which, over the centuries, took shape through less well-known figures until the more recent times in which Gaspard Monge worked. Over the years, a gap has been created between Descriptive Geometry and Mechanism Science, which now appear to belong to different worlds. In reality, however, there is a very close relationship between the two disciplines, with a link based on extremely solid foundations. Without the theoretical foundations of Geometry it would not be possible to draw and design mechanical parts such as gears, while in Kinematics it would be less easy to design and predict the reciprocal movements of parts in a complex mechanical assembly.
This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary. Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought. The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators.
Language is the most essential medium of scientific activity. Many historians, sociologists and science studies scholars have investigated scientific language for this reason, but only few have examined those cases where language itself has become an object of scientific discussion. Over the centuries scientists have sought to control, refine and engineer language for various epistemological, communicative and nationalistic purposes. This book seeks to explore cases in the history of science in which questions or concerns with language have bubbled to the surface in scientific discourse. This opens a window into the particular ways in which scientists have conceived of and construed language as the central medium of their activity across different cultural contexts and places, and the clashes and tensions that have manifested their many attempts to engineer it to both preserve and enrich its function. The subject of language draws out many topics that have mostly been neglected in the history of science, such as the connection between the emergence of national languages and the development of science within national settings, and allows us to connect together historical episodes from many understudied cultural and linguistic venues such as Eastern European and medieval Hebrew science.
Mathematics Education with Digital Technology examines ways in which widely available digital technologies can be used to benefit the teaching and learning of mathematics. The contributors offer their insights to locate the value of digital technology for mathematics learning within the context of evidence from documented practice, prior research and of educational policy making. Key pedagogical uses of digital technologies are evaluated in relation to effective mathematics learning and practical ideas for teaching and learning mathematics with digital technology are critically analysed. The volume concludes by looking at future developments and by considering the ways in which ICT could be used as a catalyst for cross-curricular work to achieve greater curricular coherence.
In this bibliography of the exact sciences in the Low Countries, Klaas Hoogendoorn gives a detailed analytical description by autopsy of all printed books published by scientists associated with the Low Countries from ca. 1470 to the Golden Age (1700). The books' locations are given, along with secondary bibliographical sources and concise biographies of the authors. Includes indexes of the editions by subject, printer/publisher and person. Along with books on subjects including mathematics, physics, military science and navigation, the second part describes all known almanacs and prognostications for the period, providing the most complete survey yet available. It is a thoroughly revised and expanded update of D. Bierens de Haan’s Bibliographie néerlandaise historique-scientifique ... (Rome, 1883) up to about 1700.
This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.