Isaac Newton On Mathematical Certainty And Method
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Isaac Newton On Mathematical Certainty And Method
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Author : Niccolò Guicciardini
language : en
Publisher: MIT Press
Release Date : 2009
Isaac Newton On Mathematical Certainty And Method written by Niccolò 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 2009 with Mathematical analysis 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.
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.
Newton
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Author : Andrew Janiak
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-23
Newton written by Andrew Janiak and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-23 with Biography & Autobiography categories.
"This book takes a distinct angle on his life and work"--
The Oxford Handbook Of Hume
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Author : Paul Russell
language : en
Publisher: Oxford University Press
Release Date : 2016-02-22
The Oxford Handbook Of Hume written by Paul Russell and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-22 with Philosophy categories.
The Scottish philosopher David Hume (1711-1776) is widely regarded as the greatest and most significant English-speaking philosopher and often seen as having had the most influence on the way philosophy is practiced today in the West. His reputation is based not only on the quality of his philosophical thought but also on the breadth and scope of his writings, which ranged over metaphysics, epistemology, morals, politics, religion, and aesthetics. The Handbook's 38 newly commissioned chapters are divided into six parts: Central Themes; Metaphysics and Epistemology; Passion, Morality and Politics; Aesthetics, History, and Economics; Religion; Hume and the Enlightenment; and After Hume. The volume also features an introduction from editor Paul Russell and a chapter on Hume's biography.
Mathematics Going Forward
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Author : Jean-Michel Morel
language : en
Publisher: Springer Nature
Release Date : 2023-05-13
Mathematics Going Forward written by Jean-Michel Morel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-13 with Mathematics categories.
This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.
Jos Celestino Mutis And Newtonianism In New Granada 1762 1808
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Author : Sebastián Molina-Betancur
language : en
Publisher: Springer Nature
Release Date : 2023-06-17
Jos Celestino Mutis And Newtonianism In New Granada 1762 1808 written by Sebastián Molina-Betancur and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-17 with History categories.
This book presents the process of circulation and adoption of Newtonianism in the Viceroyalty of New Granada (modern-day Colombia) in the eighteenth century by examining José Celestino Mutis’s lectures at the Colegio del Rosario between the 1760s and 1770s. Mostly famous for his botanical activities as director of the botanical expedition, Mutis lectured the first course of mathematics ever created in New Granada on his arrival in Bogota in 1762, in which he included several lectures on physics that encompassed multiple aspects of his interpretation of Newton’s experimental physics.
The Art Of Science
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Author : Rossella Lupacchini
language : en
Publisher: Springer
Release Date : 2014-07-22
The Art Of Science written by Rossella Lupacchini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
In addition to linear perspective, complex numbers and probability were notable discoveries of the Renaissance. While the power of perspective, which transformed Renaissance art, was quickly recognized, the scientific establishment treated both complex numbers and probability with much suspicion. It was only in the twentieth century that quantum theory showed how probability might be molded from complex numbers and defined the notion of “complex probability amplitude”. From a theoretical point of view, however, the space opened to painting by linear perspective and that opened to science by complex numbers share significant characteristics. The Art of Science explores this shared field with the purpose of extending Leonardo’s vision of painting to issues of mathematics and encouraging the reader to see science as an art. The intention is to restore a visual dimension to mathematical sciences – an element dulled, if not obscured, by historians, philosophers, and scientists themselves.
Isaac Newton S Natural Philosophy
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Author : Jed Z. Buchwald
language : en
Publisher: MIT Press
Release Date : 2001
Isaac Newton S Natural Philosophy written by Jed Z. Buchwald and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Biography & Autobiography categories.
Shedding new light on the intellectual context of Newton's scientific thought, this book explores the development of his mathematical philosophy, rational mechanics, and celestial dynamics. An appendix includes the last paper written by Newton biographer Richard S. Westfall.
Seventeenth Century Indivisibles Revisited
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Author : Vincent Jullien
language : en
Publisher: Birkhäuser
Release Date : 2015-05-19
Seventeenth Century Indivisibles Revisited written by Vincent Jullien and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-19 with Mathematics categories.
The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, but there are significant factors of unity between the various doctrines of indivisible; the permanence of the language used by all authors is the strongest sign. These efforts do not lead to the stabilization of a mathematical theory (with principles or axioms, theorems respecting these first statements, followed by applications to a set of geometric situations), one must nevertheless admire the magnitude of the results obtained by these methods and highlights the rich relationships between them and integral calculus. The present book aims to be exhaustive since it analyzes the works of all major inventors of methods of indivisibles during the seventeenth century, from Kepler to Leibniz. It takes into account the rich existing literature usually devoted to a single author. This book results from the joint work of a team of specialists able to browse through this entire important episode in the history of mathematics and to comment it. The list of authors involved in indivisibles ́ field is probably sufficient to realize the richness of this attempt; one meets Kepler, Cavalieri, Galileo, Torricelli, Gregoire de Saint Vincent, Descartes, Roberval, Pascal, Tacquet, Lalouvère, Guldin, Barrow, Mengoli, Wallis, Leibniz, Newton.
Newton S Principia For The Modern Student
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Author : Joseph Gallant
language : en
Publisher: World Scientific
Release Date : 2025-01-24
Newton S Principia For The Modern Student written by Joseph Gallant and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Science categories.
At some point in their careers, most physicists make an attempt to read and understand Newton's Principia. Unfortunately, it is an extremely difficult book — it quickly becomes clear that one does not simply 'read' the Principia. Even for a professional physicist, Newton's prose (written in Latin and translated to English) is difficult to follow. His diagrams and figures are complicated and confusing. To understand fully what Newton had done, the problems he posed would have to be solved by the reader.Newton's geometric methods and techniques, and the geometry and vocabulary that passed for common knowledge in the late 17th century, are now arcane and all but inaccessible to a modern reader. The contents of the Principia are not. Most physicists and physics students, and many scientists in general, would find the physics in the Principia interesting, illuminating, and useful.This book presents all the wonderful physics in the Principia in a manner that a modern reader can recognize and understand, using physics and mathematics as we understand them in the 21st century.