Force and Geometry in Newton's Principia

Force and Geometry in Newton's Principia

Author: François De Gandt

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 312

ISBN-13: 1400864127

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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.


Book Synopsis Force and Geometry in Newton's Principia by : François De Gandt

Download or read book Force and Geometry in Newton's Principia written by François De Gandt and published by Princeton University Press. This book was released on 2014-07-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Principia Mathematica

Principia Mathematica

Author: Alfred North Whitehead

Publisher:

Published: 1910

Total Pages: 696

ISBN-13:

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:


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

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

Author: Sir Isaac Newton

Publisher: Univ of California Press

Published: 2023-11-15

Total Pages: 714

ISBN-13: 0520321723

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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.


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

Download or read book Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World written by Sir Isaac Newton and published by Univ of California Press. This book was released on 2023-11-15 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Newton's Principia for the Common Reader

Newton's Principia for the Common Reader

Author: Subrahmanyan Chandrasekhar

Publisher: Oxford University Press

Published: 2003

Total Pages: 621

ISBN-13: 019852675X

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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.


Book Synopsis Newton's Principia for the Common Reader by : Subrahmanyan Chandrasekhar

Download or read book Newton's Principia for the Common Reader written by Subrahmanyan Chandrasekhar and published by Oxford University Press. This book was released on 2003 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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

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

Author: Jacques Fleuriot

Publisher: Springer Science & Business Media

Published: 2012-09-30

Total Pages: 150

ISBN-13: 085729329X

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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.


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

Download or read book A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia written by Jacques Fleuriot and published by Springer Science & Business Media. This book was released on 2012-09-30 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Cambridge Companion to Newton

The Cambridge Companion to Newton

Author: I. Bernard Cohen

Publisher: Cambridge University Press

Published: 2002-04-25

Total Pages: 785

ISBN-13: 1139826026

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Sir Isaac Newton (1642–1727) was one of the greatest scientists of all time, a thinker of extraordinary range and creativity who has left enduring legacies in mathematics and the natural sciences. In this volume a team of distinguished contributors examine all the main aspects of Newton's thought, including not only his approach to space, time, mechanics, and universal gravity in his Principia, his research in optics, and his contributions to mathematics, but also his more clandestine investigations into alchemy, theology, and prophecy, which have sometimes been overshadowed by his mathematical and scientific interests.


Book Synopsis The Cambridge Companion to Newton by : I. Bernard Cohen

Download or read book The Cambridge Companion to Newton written by I. Bernard Cohen and published by Cambridge University Press. This book was released on 2002-04-25 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sir Isaac Newton (1642–1727) was one of the greatest scientists of all time, a thinker of extraordinary range and creativity who has left enduring legacies in mathematics and the natural sciences. In this volume a team of distinguished contributors examine all the main aspects of Newton's thought, including not only his approach to space, time, mechanics, and universal gravity in his Principia, his research in optics, and his contributions to mathematics, but also his more clandestine investigations into alchemy, theology, and prophecy, which have sometimes been overshadowed by his mathematical and scientific interests.


Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method

Author: Niccolo Guicciardini

Publisher: MIT Press

Published: 2011-08-19

Total Pages: 449

ISBN-13: 0262291657

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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 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.


Newton's Principia

Newton's Principia

Author: Isaac Newton

Publisher:

Published: 1848

Total Pages: 606

ISBN-13:

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Book Synopsis Newton's Principia by : Isaac Newton

Download or read book Newton's Principia written by Isaac Newton and published by . This book was released on 1848 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Isaac Newton and Natural Philosophy

Isaac Newton and Natural Philosophy

Author: Niccolò Guicciardini

Publisher: Reaktion Books

Published: 2018-02-15

Total Pages: 272

ISBN-13: 1780239483

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Isaac Newton is one of the greatest scientists in history, yet the spectrum of his interests was much broader than that of most contemporary scientists. In fact, Newton would have defined himself not as a scientist, but as a natural philosopher. He was deeply involved in alchemical, religious, and biblical studies, and in the later part of his life he played a prominent role in British politics, economics, and the promotion of scientific research. Newton’s pivotal work Philosophiæ Naturalis Principia Mathematica, which sets out his laws of universal gravitation and motion, is regarded as one of the most important works in the history of science. Niccolò Guicciardini’s enlightening biography offers an accessible introduction both to Newton’s celebrated research in mathematics, optics, mechanics, and astronomy and to how Newton viewed these scientific fields in relation to his quest for the deepest secrets of the universe, matter theory and religion. Guicciardini sets Newton the natural philosopher in the troubled context of the religious and political debates ongoing during Newton’s life, a life spanning the English Civil Wars, the Restoration, the Glorious Revolution, and the Hanoverian succession. Incorporating the latest Newtonian scholarship, this fast-paced biography broadens our perception of both this iconic figure and the great scientific revolution of the early modern period.


Book Synopsis Isaac Newton and Natural Philosophy by : Niccolò Guicciardini

Download or read book Isaac Newton and Natural Philosophy written by Niccolò Guicciardini and published by Reaktion Books. This book was released on 2018-02-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isaac Newton is one of the greatest scientists in history, yet the spectrum of his interests was much broader than that of most contemporary scientists. In fact, Newton would have defined himself not as a scientist, but as a natural philosopher. He was deeply involved in alchemical, religious, and biblical studies, and in the later part of his life he played a prominent role in British politics, economics, and the promotion of scientific research. Newton’s pivotal work Philosophiæ Naturalis Principia Mathematica, which sets out his laws of universal gravitation and motion, is regarded as one of the most important works in the history of science. Niccolò Guicciardini’s enlightening biography offers an accessible introduction both to Newton’s celebrated research in mathematics, optics, mechanics, and astronomy and to how Newton viewed these scientific fields in relation to his quest for the deepest secrets of the universe, matter theory and religion. Guicciardini sets Newton the natural philosopher in the troubled context of the religious and political debates ongoing during Newton’s life, a life spanning the English Civil Wars, the Restoration, the Glorious Revolution, and the Hanoverian succession. Incorporating the latest Newtonian scholarship, this fast-paced biography broadens our perception of both this iconic figure and the great scientific revolution of the early modern period.


Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method

Author: Niccolò Guicciardini

Publisher: MIT Press

Published: 2009

Total Pages: 449

ISBN-13: 0262013177

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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.


Book Synopsis Isaac Newton on Mathematical Certainty and Method by : Niccolò Guicciardini

Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolò Guicciardini and published by MIT Press. This book was released on 2009 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.