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Mechanics --- Celestial mechanics --- Early works to 1800. --- Gravitational astronomy --- Hemelmechanica --- Mechanica [Hemel] --- Mechanics [Celestial ] --- Mécanique céleste --- -Mechanics --- -Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mechanics, Celestial --- Astrophysics --- Early works to 1800 --- Newton, Isaac Sir --- Newton, Isaac, --- Newton, Isaac, Sir --- Mechanics - Early works to 1800 --- Celestial mechanics - Early works to 1800
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Copernicus, Nicolaus, --- Halley, Edmund, --- Newton, Isaac, --- Newton, Isaac --- #GGSB: Wetenschap --- #GGSB: Filosofie --- 530.4 --- 001 wetenschappen --- 929 biografieën --- 929 --- Newton --- biografie --- natuurkunde (fysica) --- newton --- Geschiedenis der natuurkunde - Natuurkundigen --- 168.521 --- 53 <09> --- 53 NEWTON, ISAAC --- 52:93 --- biografieën --- natuurwetenschappen --- 168.521 Natuurwetenschappen. Exacte wetenschappen --- Natuurwetenschappen. Exacte wetenschappen --- 53 <09> Physics--Geschiedenis van ... --- Physics--Geschiedenis van ... --- Physics--NEWTON, ISAAC --- Geschiedenis van astronomie --- Natuurwetenschappen --- Fysica --- Wiskunde --- Geschiedenis --- Wereldbeeld --- Geneeskunde --- Techniek (wetenschap) --- Atlas --- Museum --- Onderzoek (wetenschap) --- Wetenschap --- Filosofie
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An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the "common" and "new" analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
Mathematical analysis. --- Mathematics --- History. --- Newton, Isaac, --- Knowledge --- Mathematics. --- Math --- 517.1 Mathematical analysis --- Mathematical analysis --- Newton, Izaak, --- Niu-tun, --- Nʹi︠u︡ton, Isaak, --- Niutun, Yisake, --- Niyu̇ton, Isak, --- Nyuṭon, Ayzaḳ, --- Nyuṭon, Ayziḳ, --- ניוטאן, אייזאק, --- ניוטון, אייזק --- ניוטון, אייזיק --- 牛頓, --- 牛頓, 伊萨克, --- Science --- SCIENCE, TECHNOLOGY & SOCIETY/History of Science --- MATHEMATICS & STATISTICS/General --- History
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Isaac Newton's Principia is considered one of the masterpieces in the history of science. The mathematical methods employed by Newton in the Principia stimulated much debate among his contemporaries, especially Leibniz, Huygens, Bernoulli and Euler, who debated their merits and drawbacks. Among the questions they asked were: How should natural philosophy be mathematized?; Is it legitimate to use uninterpreted symbols?; Is it possible to depart from the established Archimedean or Galilean/Huygenian tradition of geometrizing nature?; What is the value of elegance and conciseness?; What is the relation between Newton's geometrical methods and the calculus? This book explains how Newton addressed these issues, taking into consideration the values that directed the research of Newton and his contemporaries. This book will be of interest to researchers and advanced students in departments of history of science, philosophy of science, physics, mathematics and astronomy.
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This book examines the development of calculus in Britain during the century following Newton. It is usually maintained that this was a period of decline in British mathematics. However, the author's research has shown that the methods used by researchers of the period yielded considerable success in laying the foundations and investigating the applications of the calculus. Even when 'decline' was at its worst point, in mid-century, the foundations of the reform, which were to change the direction and nature of the mathematics community, were being laid. The book considers the importance of the work of mathematicians such as Isaac Newton, Roger Cotes, Brook Taylor, James Stirling, Abraham de Moivre, Colin Maclaurin, Thomas Bayes, John Landen and Edward Waring. It will be useful to science historians and philosophers studying the period, and to students of British history studying the teaching of mathematics.
Calculus --- 517 --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal --- 517 Analysis --- Analysis --- History --- Physics --- General and Others --- Calculus. --- 1700-1799. --- Great Britain.
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The controversial matters surrounding the notion of anachronism are difficult ones: they have been broached by literary and art critics, by philosophers, as well as by historians of science. This book adopts a bottom-up approach to the many problems concerning anachronism in the history of mathematics. Some of the leading scholars in the field of history of mathematics reflect on the applicability of present-day mathematical language, concepts, standards, disciplinary boundaries, indeed notions of mathematics itself, to well-chosen historical case studies belonging to the mathematics of the past, in European and non-European cultures. A detailed introduction describes the key themes and binds the various chapters together. The interdisciplinary and transcultural approach adopted allows this volume to cover topics important for history of mathematics, history of the physical sciences, history of science, philosophy of mathematics, history of philosophy, methodology of history, non-European science, and the transmission of mathematical knowledge across cultures.
Mathematics --- History --- Historiography --- Math --- Science --- History. --- Historiography. --- Methodology.
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"Isaac Newton is generally regarded as one of the greatest scientists in history, yet the spectrum of his interests was much broader than that of a contemporary scientist. He was deeply involved in alchemical, religious and biblical studies, and in the later part of his life he played a prominent role in British politics, economics and the promotion of scientific research. Newton's pivotal work Philosophiae naturalis principia mathematica, which sets out his laws of universal gravitation and motion, is regarded as one of the most important works in the history of science. Niccolo Guicciardini's enlightening biography offers an accessible introduction to Newton's celebrated work in mathematics, optics and astronomy and to how Newton viewed these scientific fields in relation to his quest for the deepest secrets of the universe, matter theory and religion. Guicciardini sets Newton the natural philosopher in the troubled context of the religious and political debates that took place during Newton's life, which spanned from the years of the Civil War to the Restoration, the Glorious Revolution and the Hanoverian succession. Taking into account the latest Newtonian scholarship, this fast-paced biography will appeal to all those with an interest in this iconic figure and the great scientific revolution of the early modern period."--
Philosophers --- Philosophers. --- Physicists --- Physicists. --- Physics --- Physics --- Physics. --- History --- History --- Newton, Isaac, --- Newton, Isaac, --- 1600-1799. --- Great Britain.
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