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Author : Niccol- Guicciardini
Publisher : Cambridge University Press
Page : 246 pages
File Size : 54,6 Mb
Release : 2003-11-13
Category : History
ISBN : 0521524849
This book examines how calculus developed in Britain during the century following Newton.
Author : Niccolo Guicciardini
Publisher : MIT Press
Page : 449 pages
File Size : 50,9 Mb
Release : 2011-08-19
Category : Mathematics
ISBN : 9780262291651
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.
Author : Jeremy J. Gray,Karen Hunger Parshall
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 42,7 Mb
Release : 2011-08-31
Category : Mathematics
ISBN : 9780821869048
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.
Author : Elizabeth Garber
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461217664
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.
Author : Andrea A. Rusnock
Publisher : BRILL
Page : 585 pages
File Size : 54,7 Mb
Release : 2020-01-29
Category : Medical
ISBN : 9789004418486
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.
Author : Thomas Sonar
Publisher : Birkhäuser
Page : 549 pages
File Size : 50,8 Mb
Release : 2018-04-12
Category : Mathematics
ISBN : 9783319725635
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!
Author : Ivor Grattan-Guiness
Publisher : Routledge
Page : 813 pages
File Size : 45,8 Mb
Release : 2004-11-11
Category : History
ISBN : 9781134888399
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author : I. Grattan-Guinness
Publisher : JHU Press
Page : 872 pages
File Size : 45,6 Mb
Release : 2003
Category : Mathematics
ISBN : 0801873967
The first 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.
Author : David C. Lindberg,Mary Jo Nye,Roy Porter,Ronald L. Numbers
Publisher : Cambridge University Press
Page : 714 pages
File Size : 46,9 Mb
Release : 2003
Category : Mathematics
ISBN : 0521571995
A new and comprehensive examination of the history of the modern physical and mathematical sciences.
Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : American Mathematical Society
Page : 399 pages
File Size : 45,6 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781470470036
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.
Author : James A. Harris
Publisher : OUP Oxford
Page : 688 pages
File Size : 43,8 Mb
Release : 2013-10-03
Category : Philosophy
ISBN : 9780191502682
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.
Author : J.B. Shank
Publisher : University of Chicago Press
Page : 590 pages
File Size : 49,6 Mb
Release : 2008-09-15
Category : History
ISBN : 9780226749471
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.
Author : Ranjan Roy
Publisher : Cambridge University Press
Page : 479 pages
File Size : 47,8 Mb
Release : 2021-03-18
Category : Mathematics
ISBN : 9781108709378
Second of two volumes tracing the development of series and products. Second edition adds extensive material from original works.
Author : Nerida F. Ellerton,M. A. (Ken) Clements
Publisher : Springer
Page : 325 pages
File Size : 49,8 Mb
Release : 2017-03-02
Category : Education
ISBN : 9783319466576
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.
Author : Peter Rowlands
Publisher : World Scientific
Page : 322 pages
File Size : 41,7 Mb
Release : 2017-11-10
Category : Science
ISBN : 9781786344045
Unique among celebrated scientists, Newton was equally gifted at theoretical physics, experimental physics and pure mathematics. He was also exceptional in another, less well-recognised sense. No one has come near to equalling his extraordinary analytical power.Analytically-derived truths are controversial because such truths can only be established by extended experimental verification or by their success in generating further truths by systematic development. While Newton's optics was ultimately established by the first method and his theory of gravity by the second, much of his work on other subjects, though equally powerful and innovative, has never been totally established as part of this analytical context. This book discusses why the innovations matter today and why they were, and sometimes still are, controversial.Published as the third of a three-part set for Newtonian scholars, historians of science, philosophers of science and others interested in Newtonian physics.All Titles: 1.Newton and Modern Physics 2.Newton and the Great World System 3.Newton — Innovation and Controversy
