The Development Of Newtonian Calculus In Britain 1700 1800
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The Development Of Newtonian Calculus In Britain 1700 1800
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Author : Niccol- Guicciardini
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-13
The Development Of Newtonian Calculus In Britain 1700 1800 written by Niccol- Guicciardini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-13 with History categories.
This book examines how calculus developed in Britain during the century following Newton.
Isaac Newton On Mathematical Certainty And Method
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Author : Niccolo Guicciardini
language : en
Publisher: MIT Press
Release Date : 2011-08-19
Isaac Newton On Mathematical Certainty And Method written by Niccolo Guicciardini and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-19 with Mathematics categories.
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.
Reading The Principia
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Author : Ni Guicciardini
language : en
Publisher:
Release Date : 1999
Reading The Principia written by Ni Guicciardini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
Isaac Newton's Principia is considered one of the masterpieces in the history of science. The mathematical methods that Newton employed in the work stimulated much debate among his contemporaries, especially Leibniz, Huygens, Bernoulli and Euler. 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? Coverage explains how Newton addressed these issues and takes into consideration the values that directed the research of his era. This book will be of interest to researchers and advanced students in the history of science, the philosophy of science, physics, mathematics and astronomy.
Episodes In The History Of Modern Algebra 1800 1950
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Author : Jeremy J. Gray
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-08-31
Episodes In The History Of Modern Algebra 1800 1950 written by Jeremy J. Gray and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-31 with Mathematics categories.
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.
The Language Of Physics
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Author : Elizabeth Garber
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Language Of Physics written by Elizabeth Garber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
The Correspondence Of James Jurin 1684 1750
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Author : Andrea A. Rusnock
language : en
Publisher: BRILL
Release Date : 2020-01-29
The Correspondence Of James Jurin 1684 1750 written by Andrea A. Rusnock and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Medical categories.
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.
The History Of The Priority Di Pute Between Newton And Leibniz
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Author : Thomas Sonar
language : en
Publisher: Birkhäuser
Release Date : 2018-04-12
The History Of The Priority Di Pute Between Newton And Leibniz written by Thomas Sonar and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Mathematics categories.
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!
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : Ivor Grattan-Guiness
language : en
Publisher: Routledge
Release Date : 2004-11-11
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by Ivor Grattan-Guiness and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-11 with History categories.
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : I. Grattan-Guinness
language : en
Publisher: JHU Press
Release Date : 2003
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by I. Grattan-Guinness and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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.
The Cambridge History Of Science Volume 5 The Modern Physical And Mathematical Sciences
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Author : David C. Lindberg
language : en
Publisher: Cambridge University Press
Release Date : 2003
The Cambridge History Of Science Volume 5 The Modern Physical And Mathematical Sciences written by David C. Lindberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
A new and comprehensive examination of the history of the modern physical and mathematical sciences.