Force And Geometry In Newton S Principia

Author : François De Gandt
Publisher : Princeton University Press
Page : 312 pages
File Size : 45,7 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400864126

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Force and Geometry in Newton's Principia by François De Gandt Pdf

In this book François De Gandt introduces us to the reading of Newton's Principia in its own terms. The path of access that De Gandt proposes leads through the study of the geometrization of force. The result is a highly original meditation on the sources and meaning of Newton's magnum opus. In Chapter I De Gandt presents a translation of and detailed commentary on an earlier and simpler version of what in 1687 became Book I of the Principia; here in clearer and starker outline than in the final version, the basic principles of Newton's dynamics show forth. Chapter II places this dynamics in the intellectual context of earlier efforts--the first seeds of celestial dynamics in Kepler, Galileo's theory of accelerated motion, and Huygens's quantification of centrifugal force--and evaluates Newton's debt to these thinkers. Chapter III is a study of the mathematical tools used by Newton and their intellectual antecedents in the works of Galileo, Torricelli, Barrow, and other seventeenth-century mathematicians. The conclusion discusses the new status of force and cause in the science that emerges from Newton's Principia. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Niccolo Guicciardini
Publisher : MIT Press
Page : 449 pages
File Size : 51,6 Mb
Release : 2011-08-19
Category : Mathematics
ISBN : 9780262291651

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Isaac Newton on Mathematical Certainty and Method by Niccolo Guicciardini Pdf

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 : Jacques Fleuriot
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 51,5 Mb
Release : 2012-09-30
Category : Mathematics
ISBN : 9780857293299

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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia by Jacques Fleuriot Pdf

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) contains a prose-style mixture of geometric and limit reasoning that has often been viewed as logically vague. In A Combination of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot presents a formalization of Lemmas and Propositions from the Principia using a combination of methods from geometry and nonstandard analysis. The mechanization of the procedures, which respects much of Newton's original reasoning, is developed within the theorem prover Isabelle. The application of this framework to the mechanization of elementary real analysis using nonstandard techniques is also discussed.

Author : Isaac Newton
Publisher : Unknown
Page : 606 pages
File Size : 52,7 Mb
Release : 1848
Category : Celestial mechanics
ISBN : NYPL:33433057752796

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Newton's Principia by Isaac Newton Pdf

Author : Derek Thomas Whiteside
Publisher : University of Glasgow French and German Publications
Page : 40 pages
File Size : 54,7 Mb
Release : 1970
Category : Biography & Autobiography
ISBN : UCAL:B4250661

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The Mathematical Principles Underlying Newton's Principia Mathematica by Derek Thomas Whiteside Pdf

Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 54,5 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

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Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

Author : Sir Isaac Newton
Publisher : Univ of California Press
Page : 714 pages
File Size : 41,8 Mb
Release : 2023-11-15
Category : Science
ISBN : 9780520321724

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Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World by Sir Isaac Newton Pdf

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1934.

Author : Subrahmanyan Chandrasekhar
Publisher : Oxford University Press
Page : 621 pages
File Size : 46,9 Mb
Release : 2003
Category : Celestial mechanics
ISBN : 9780198526759

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Newton's Principia for the Common Reader by Subrahmanyan Chandrasekhar Pdf

Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which wehave explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law ofgravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty,clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at theUniversity of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties offluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London (1953), the National Medal of Science in the United States (1966), and the Copley Medal from the Royal Society (1984).His many publications include Radiative transfer (1950), Hydrodynamic and hydromagnetic stability (1961), and The mathematical theory of black holes (1983), each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profoundadmiration for a scientist whose work he believed is unsurpassed, and unsurpassable.

Author : Henry Brougham Baron Brougham and Vaux,Edward John Routh
Publisher : Unknown
Page : 488 pages
File Size : 54,6 Mb
Release : 1855
Category : Physics
ISBN : STANFORD:36105038059536

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Analytical View of Sir Isaac Newton's Principia by Henry Brougham Baron Brougham and Vaux,Edward John Routh Pdf

Author : Isaac Newton
Publisher : Unknown
Page : 208 pages
File Size : 41,8 Mb
Release : 1826
Category : Curves, Plane
ISBN : UOM:39015063582848

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The First Three Sections of Newton's Principia by Isaac Newton Pdf

Author : I. Bernard Cohen,George E. Smith
Publisher : Cambridge University Press
Page : 518 pages
File Size : 52,5 Mb
Release : 2002-04-25
Category : Biography & Autobiography
ISBN : 0521656966

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The Cambridge Companion to Newton by I. Bernard Cohen,George E. Smith Pdf

Newton's philosophical analysis of space and time /Robert Disalle --Newton's concepts of force and mass, with notes on the Laws of Motion /I. Bernard Cohen --Curvature in Newton's dynamics /J. Bruce Brackenridge and Michael Nauenberg --Methodology of the Principia /George E. Smith --Newton's argument for universal gravitation /William Harper --Newton and celestial mechanics /Curtis Wilson --Newton's optics and atomism /Alan E. Shapiro --Newton's metaphysics /Howard Stein --Analysis and synthesis in Newton's mathematical work /Niccolò Guicciardini --Newton, active powers, and the mechanical philosophy /Alan Gabbey --Background to Newton's chymistry /William Newman --Newton's alchemy /Karin Figala --Newton on prophecy and the Apocalypse /Maurizio Mamiani --Newton and eighteenth-century Christianity /Scott Mandelbrote --Newton versus Leibniz : from geomentry to metaphysics /A. Rupert Hall --Newton and the Leibniz-Clarke correspondence /Domenico Bertoloni Meli.

Author : Walter William Rouse Ball
Publisher : Unknown
Page : 206 pages
File Size : 54,6 Mb
Release : 1893
Category : Mechanics, Analytic
ISBN : STANFORD:36105030411792

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An Essay on Newton's "Principia" by Walter William Rouse Ball Pdf

Author : Sir Isaac Newton
Publisher : Unknown
Page : 194 pages
File Size : 50,6 Mb
Release : 1821
Category : Electronic
ISBN : BL:A0025740394

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The First Three Sections of Newton's Principia. With ... Notes and Illustrations ... by the Rev. J. Carr, Etc by Sir Isaac Newton Pdf

Author : Rossella Lupacchini,Annarita Angelini
Publisher : Springer
Page : 210 pages
File Size : 47,6 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9783319021119

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The Art of Science by Rossella Lupacchini,Annarita Angelini Pdf

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.

Author : Ofer Gal,Raz Chen-Morris
Publisher : University of Chicago Press
Page : 348 pages
File Size : 42,5 Mb
Release : 2014-07-21
Category : Art
ISBN : 9780226212982

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Baroque Science by Ofer Gal,Raz Chen-Morris Pdf

Presents a perspective on the study of early modern science. This title examines science in the context of the baroque, analyzes the tensions, paradoxes, and compromises that shaped the New Science of the seventeenth century and enabled its spectacular success.