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The Development Of Newtonian Calculus In Britain 1700 1800
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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.
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.
Book Synopsis Episodes in the History of Modern Algebra (1800-1950) by : Jeremy J. Gray
Download or read book Episodes in the History of Modern Algebra (1800-1950) written by Jeremy J. Gray and published by American Mathematical Soc.. This book was released on 2011-08-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics.
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.
Book Synopsis The History of the Priority Di∫pute between Newton and Leibniz by : Thomas Sonar
Download or read book The History of the Priority Di∫pute between Newton and Leibniz written by Thomas Sonar and published by Birkhäuser. This book was released on 2018-04-12 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!
Book Synopsis The Language of Physics by : Elizabeth Garber
Download or read book The Language of Physics written by Elizabeth Garber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is the first explicit examination of the key role that mathematics has played in the development of theoretical physics and will undoubtedly challenge the more conventional accounts of its historical development. Although mathematics has long been regarded as the "language" of physics, the connections between these independent disciplines have been far more complex and intimate than previous narratives have shown. The author convincingly demonstrates that practices, methods, and language shaped the development of the field, and are a key to understanding the mergence of the modern academic discipline. Mathematicians and physicists, as well as historians of both disciplines, will find this provocative work of great interest.
Book Synopsis The Correspondence of James Jurin (1684-1750) by : Andrea A. Rusnock
Download or read book The Correspondence of James Jurin (1684-1750) written by Andrea A. Rusnock and published by BRILL. This book was released on 2020-01-29 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: James Jurin (1684-1750) occupied a central place in the medical and scientific circles of Augustan and Georgian England. His dispassionate yet forceful advocacy of smallpox inoculation using an innovative statistical approach brought him widespread recognition both in Britain and abroad. He was Secretary to the Royal Society for seven years and participated vigorously in the most important scientific debates of the period. Jurin's correspondence, recently made available to the public, provides rich material for the study of eighteenth-century natural philosophy and medicine, especially of the smallpox inoculation debates. This volume reproduces a broad and valuable selection of letters, as well as a list of Jurin's publications and a calendar of the complete correspondence. The introductory biographical essay describes how Jurin combined a career as a successful London physician with that of a natural philosopher.
Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : Ivor Grattan-Guiness
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : I. Grattan-Guinness
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by I. Grattan-Guinness and published by JHU Press. This book was released on 2003 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics.
Book Synopsis The Cambridge History of Science: Volume 5, The Modern Physical and Mathematical Sciences by : David C. Lindberg
Download or read book The Cambridge History of Science: Volume 5, The Modern Physical and Mathematical Sciences written by David C. Lindberg and published by Cambridge University Press. This book was released on 2003 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and comprehensive examination of the history of the modern physical and mathematical sciences.
Book Synopsis Series and Products in the Development of Mathematics by : Ranjan Roy
Download or read book Series and Products in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second of two volumes tracing the development of series and products. Second edition adds extensive material from original works.
Book Synopsis Series and Products in the Development of Mathematics: Volume 1 by : Ranjan Roy
Download or read book Series and Products in the Development of Mathematics: Volume 1 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible to even advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 treats more recent work, including deBranges' solution of Bieberbach's conjecture, and requires more advanced mathematical knowledge.
Book Synopsis Series and Products in the Development of Mathematics: Volume 2 by : Ranjan Roy
Download or read book Series and Products in the Development of Mathematics: Volume 2 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible even to advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 examines more recent results, including deBranges' resolution of Bieberbach's conjecture and Nevanlinna's theory of meromorphic functions.
Book Synopsis Sherlock Holmes in Babylon and Other Tales of Mathematical History by : Marlow Anderson
Download or read book Sherlock Holmes in Babylon and Other Tales of Mathematical History written by Marlow Anderson and published by American Mathematical Society. This book was released on 2022-04-26 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
Book Synopsis The Newton Wars & the Beginning of the French Enlightenment by : J.B. Shank
Download or read book The Newton Wars & the Beginning of the French Enlightenment written by J.B. Shank and published by University of Chicago Press. This book was released on 2008-09-15 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nothing is considered more natural than the connection between Isaac Newton’s science and the modernity that came into being during the eighteenth-century Enlightenment. Terms like “Newtonianism” are routinely taken as synonyms for “Enlightenment” and “modern” thought, yet the particular conjunction of these terms has a history full of accidents and contingencies. Modern physics, for example, was not the determined result of the rational unfolding of Newton’s scientific work in the eighteenth century, nor was the Enlightenment the natural and inevitable consequence of Newton’s eighteenth-century reception. Each of these outcomes, in fact, was a contingent event produced by the particular historical developments of the early eighteenth century. A comprehensive study of public culture, The Newton Wars and the Beginning of the French Enlightenment digsbelow the surface of the commonplace narratives that link Newton with Enlightenment thought to examine the actual historical changes that brought them together in eighteenth-century time and space. Drawing on the full range of early modern scientific sources, from studied scientific treatises and academic papers to book reviews, commentaries, and private correspondence, J. B. Shank challenges the widely accepted claim that Isaac Newton’s solitary genius is the reason for his iconic status as the father of modern physics and the philosophemovement.
Book Synopsis The Oxford Handbook of British Philosophy in the Eighteenth Century by : James A. Harris
Download or read book The Oxford Handbook of British Philosophy in the Eighteenth Century written by James A. Harris and published by OUP Oxford. This book was released on 2013-10-03 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy in eighteenth-century Britain was diverse, vibrant, and sophisticated. This was the age of Hume and Berkeley and Reid, of Hutcheson and Kames and Smith, of Ferguson and Burke and Wollstonecraft. Important and influential works were published in every area of philosophy, from the theory of vision to theories of political resistance, from the philosophy of language to accounts of ways of governing the passions. The philosophers of eighteenth-century Britain were enormously influential, in France, in Italy, in Germany, and in America. Their ideas and arguments remain a powerful presence in philosophy three centuries later. This Oxford Handbook is the first book ever to provide comprehensive coverage of the full range of philosophical writing in Britain in the eighteenth century. It provides accounts of the writings of all the major figures, but also puts those figures in the context provided by a host of writers less well known today. The book has five principal sections: 'Logic and Metaphysics', 'The Passions', 'Morals', 'Criticism', and 'Politics'. Each section comprises four chapters, providing detailed coverage of all of the important aspects of its subject matter. There is also an introductory section, with chapters on the general character of philosophizing in eighteenth-century Britain, and a concluding section on the important question of the relation at this time between philosophy and religion. The authors of the chapters are experts in their fields. They include philosophers, historians, political theorists, and literary critics, and they teach in colleges and universities in Britain, in Europe, and in North America.
Book Synopsis Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics by : Nerida F. Ellerton
Download or read book Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics written by Nerida F. Ellerton and published by Springer. This book was released on 2017-03-02 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells one of the greatest stories in the history of school mathematics. Two of the names in the title—Samuel Pepys and Isaac Newton—need no introduction, and this book draws attention to their special contributions to the history of school mathematics. According to Ellerton and Clements, during the last quarter of the seventeenth century Pepys and Newton were key players in defining what school mathematics beyond arithmetic and elementary geometry might look like. The scene at which most of the action occurred was Christ’s Hospital, which was a school, ostensibly for the poor, in central London. The Royal Mathematical School (RMS) was established at Christ’s Hospital in 1673. It was the less well-known James Hodgson, a fine mathematician and RMS master between 1709 and 1755, who demonstrated that topics such as logarithms, plane and spherical trigonometry, and the application of these to navigation, might systematically and successfully be taught to 12- to 16-year-old school children. From a wider history-of-school-education perspective, this book tells how the world’s first secondary-school mathematics program was created and how, slowly but surely, what was being achieved at RMS began to influence school mathematics in other parts of Great Britain, Europe, and America. The book has been written from the perspective of the history of school mathematics. Ellerton and Clements’s analyses of pertinent literature and of archival data, and their interpretations of those analyses, have led them to conclude that RMS was the first major school in the world to teach mathematics-beyond-arithmetic, on a systematic basis, to students aged between 12 and 16. Throughout the book, Ellerton and Clements examine issues through the lens of a lag-time theoretical perspective. From a historiographical perspective, this book emphasizes how the history of RMS can be portrayed in very different ways, depending on the vantage point from which the history is written. The authors write from the vantage point of international developments in school mathematics education and, therefore, their history of RMS differs from all other histories of RMS, most of which were written from the perspective of the history of Christ’s Hospital.
