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This book examines how calculus developed in Britain during the century following Newton.
Book Synopsis The Development of Newtonian Calculus in Britain, 1700-1800 by : Niccol- Guicciardini
Download or read book The Development of Newtonian Calculus in Britain, 1700-1800 written by Niccol- Guicciardini and published by Cambridge University Press. This book was released on 2003-11-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines how calculus developed in Britain during the century following Newton.
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.
Book Synopsis Isaac Newton on Mathematical Certainty and Method by : Niccolo Guicciardini
Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolo Guicciardini and published by MIT Press. This book was released on 2011-08-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
The mathematical methods employed by Newton in the Principia stimulated much debate among contemporaries. This book explains how Newton addressed these issues, taking into consideration the values that directed his research. It will be of interest to researchers and students in history and philosophy of science, physics, mathematics and astronomy.
Book Synopsis Reading the Principia by : Niccol- Guicciardini
Download or read book Reading the Principia written by Niccol- Guicciardini and published by Cambridge University Press. This book was released on 2003-10-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical methods employed by Newton in the Principia stimulated much debate among contemporaries. This book explains how Newton addressed these issues, taking into consideration the values that directed his research. It will be of interest to researchers and students in history and philosophy of science, physics, mathematics and astronomy.
Peter Vickers examines 'inconsistent theories' in the history of science—theories which, though contradictory, are held to be extremely useful. He argues that these 'theories' are actually significantly different entities, and warns that the traditional goal of philosophy to make substantial, general claims about how science works is misguided.
Book Synopsis Understanding Inconsistent Science by : Peter Vickers
Download or read book Understanding Inconsistent Science written by Peter Vickers and published by Oxford University Press, USA. This book was released on 2013-08-22 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Vickers examines 'inconsistent theories' in the history of science—theories which, though contradictory, are held to be extremely useful. He argues that these 'theories' are actually significantly different entities, and warns that the traditional goal of philosophy to make substantial, general claims about how science works is misguided.
In recent years, there has been a resurgence of academic interest in Adam Smith. As a consequence, a large number of PhD dissertations on Smith have been written by international scholars - in different languages, and in many diverse disciplines, including economics, women’s studies, philosophy, science studies, political theory and english literature: diversity which has enriched the area of study. In response to this activity, and in order to making these contributions more easily accessible to other Smith scholars, Leonidas Montes and Eric Schliesser have edited this important new book. Of interest to Smith scholars and those interested in the history of economic thought in general, the contributions to this book are self-consciously interdisciplinary and skilfully employ many different methodologies.
Book Synopsis New Voices on Adam Smith by : Leonidas Montes
Download or read book New Voices on Adam Smith written by Leonidas Montes and published by Routledge. This book was released on 2006-04-18 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been a resurgence of academic interest in Adam Smith. As a consequence, a large number of PhD dissertations on Smith have been written by international scholars - in different languages, and in many diverse disciplines, including economics, women’s studies, philosophy, science studies, political theory and english literature: diversity which has enriched the area of study. In response to this activity, and in order to making these contributions more easily accessible to other Smith scholars, Leonidas Montes and Eric Schliesser have edited this important new book. Of interest to Smith scholars and those interested in the history of economic thought in general, the contributions to this book are self-consciously interdisciplinary and skilfully employ many different methodologies.
We have grown accustomed to the idea that scientific theories are embedded in their place and time. But in the case of the development of mathematical physics in eighteenth-century France, the relationship was extremely close. In Before Voltaire, J.B. Shank shows that although the publication of Isaac Newton’s Principia in 1687 exerted strong influence, the development of calculus-based physics is better understood as an outcome that grew from French culture in general. Before Voltaire explores how Newton’s ideas made their way not just through the realm of French science, but into the larger world of society and culture of which Principia was an intertwined part. Shank also details a history of the beginnings of calculus-based mathematical physics that integrates it into the larger intellectual currents in France at the time, including the Battle of the Ancients and the Moderns, the emergence of wider audiences for science, and the role of the newly reorganized Royal Academy of Sciences. The resulting book offers an unprecedented cultural history of one the most important and influential elements of Enlightenment science.
Book Synopsis Before Voltaire by : J.B. Shank
Download or read book Before Voltaire written by J.B. Shank and published by University of Chicago Press. This book was released on 2018-06-08 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have grown accustomed to the idea that scientific theories are embedded in their place and time. But in the case of the development of mathematical physics in eighteenth-century France, the relationship was extremely close. In Before Voltaire, J.B. Shank shows that although the publication of Isaac Newton’s Principia in 1687 exerted strong influence, the development of calculus-based physics is better understood as an outcome that grew from French culture in general. Before Voltaire explores how Newton’s ideas made their way not just through the realm of French science, but into the larger world of society and culture of which Principia was an intertwined part. Shank also details a history of the beginnings of calculus-based mathematical physics that integrates it into the larger intellectual currents in France at the time, including the Battle of the Ancients and the Moderns, the emergence of wider audiences for science, and the role of the newly reorganized Royal Academy of Sciences. The resulting book offers an unprecedented cultural history of one the most important and influential elements of Enlightenment science.
The manuscript gives a coherent and detailed account of the theory of series in the eighteenth and early nineteenth centuries. It provides in one place an account of many results that are generally to be found - if at all - scattered throughout the historical and textbook literature. It presents the subject from the viewpoint of the mathematicians of the period, and is careful to distinguish earlier conceptions from ones that prevail today.
Book Synopsis The Rise and Development of the Theory of Series up to the Early 1820s by : Giovanni Ferraro
Download or read book The Rise and Development of the Theory of Series up to the Early 1820s written by Giovanni Ferraro and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The manuscript gives a coherent and detailed account of the theory of series in the eighteenth and early nineteenth centuries. It provides in one place an account of many results that are generally to be found - if at all - scattered throughout the historical and textbook literature. It presents the subject from the viewpoint of the mathematicians of the period, and is careful to distinguish earlier conceptions from ones that prevail today.
A History of Scottish Philosophy is a series of collaborative studies by expert authors, each volume being devoted to a specific period. Together they provide a comprehensive account of the Scottish philosophical tradition, from the centuries that laid the foundation of the remarkable burst of intellectual fertility known as the Scottish Enlightenment, through the Victorian age and beyond, when it continued to exercise powerful intellectual influence at home and abroad. The books aim to be historically informative, while at the same time serving to renew philosophical interest in the problems with which the Scottish philosophers grappled and in the solutions they proposed. This is a companion volume to Scottish Philosophy in the Eighteenth Century, Volume I. Where Volume I covered Scottish Enlightenment contributions to morals, politics, art, and religion, this second volume covers philosophical method, metaphysics, and the philosophy of mind. It includes a comprehensive account of the teaching of philosophy in Scottish universities in the eighteenth century. Particular attention is given to Scottish achievements in the science of the mind in chapters on perception, the intellectual powers, the active powers, habit and the association of ideas, and language.
Book Synopsis Scottish Philosophy in the Eighteenth Century, Volume II by :
Download or read book Scottish Philosophy in the Eighteenth Century, Volume II written by and published by Oxford University Press. This book was released on 2023-07-20 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Scottish Philosophy is a series of collaborative studies by expert authors, each volume being devoted to a specific period. Together they provide a comprehensive account of the Scottish philosophical tradition, from the centuries that laid the foundation of the remarkable burst of intellectual fertility known as the Scottish Enlightenment, through the Victorian age and beyond, when it continued to exercise powerful intellectual influence at home and abroad. The books aim to be historically informative, while at the same time serving to renew philosophical interest in the problems with which the Scottish philosophers grappled and in the solutions they proposed. This is a companion volume to Scottish Philosophy in the Eighteenth Century, Volume I. Where Volume I covered Scottish Enlightenment contributions to morals, politics, art, and religion, this second volume covers philosophical method, metaphysics, and the philosophy of mind. It includes a comprehensive account of the teaching of philosophy in Scottish universities in the eighteenth century. Particular attention is given to Scottish achievements in the science of the mind in chapters on perception, the intellectual powers, the active powers, habit and the association of ideas, and language.
Modern economics has, at its foundation, scholarly contributions from many prominent Scottish thinkers. This revealing work examines the roots of this great tradition, places in perspective a selection of authors, and assesses their contribution over three centuries in the light of a distinctive Scottish approach to economics. Scottish Enlightenment is an established area of research interest, and this volume offers new scholarship on key Enlightenment figures whilst placing emphasis on their approach to economic thought. Smith and Hume are key, but other less familiar, yet important authors are also investigated here, including a murderer, a revolutionary, a medical practitioner and a novelist (John Law, Sir James Stuart, John Rae and Shield Nicholson, respectively). The latest in a prestigious series charting national traditions in the history of economic thought, this important book, an essential read for scholars of economic thought, features contributions from such major historians of economic thought as Andrew Skinner and Antoin Murphy.
Book Synopsis A History of Scottish Economic Thought by : Alexander Dow
Download or read book A History of Scottish Economic Thought written by Alexander Dow and published by Routledge. This book was released on 2006-09-27 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern economics has, at its foundation, scholarly contributions from many prominent Scottish thinkers. This revealing work examines the roots of this great tradition, places in perspective a selection of authors, and assesses their contribution over three centuries in the light of a distinctive Scottish approach to economics. Scottish Enlightenment is an established area of research interest, and this volume offers new scholarship on key Enlightenment figures whilst placing emphasis on their approach to economic thought. Smith and Hume are key, but other less familiar, yet important authors are also investigated here, including a murderer, a revolutionary, a medical practitioner and a novelist (John Law, Sir James Stuart, John Rae and Shield Nicholson, respectively). The latest in a prestigious series charting national traditions in the history of economic thought, this important book, an essential read for scholars of economic thought, features contributions from such major historians of economic thought as Andrew Skinner and Antoin Murphy.
This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.
Book Synopsis Conflicts Between Generalization, Rigor, and Intuition by : Gert Schubring
Download or read book Conflicts Between Generalization, Rigor, and Intuition written by Gert Schubring and published by Springer Science & Business Media. This book was released on 2006-06-10 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.
