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Force and Geometry in Newton's Principia

Force and Geometry in Newton's Principia PDF Author: François De Gandt
Publisher: Princeton University Press
ISBN: 1400864127
Category : Science
Languages : en
Pages : 312

Book Description
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.

Force and Geometry in Newton's Principia

Force and Geometry in Newton's Principia PDF Author: François De Gandt
Publisher: Princeton University Press
ISBN: 1400864127
Category : Science
Languages : en
Pages : 312

Book Description
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.

Newton's Principia for the Common Reader

Newton's Principia for the Common Reader PDF Author: Subrahmanyan Chandrasekhar
Publisher: Oxford University Press
ISBN: 019852675X
Category : Celestial mechanics
Languages : en
Pages : 621

Book Description
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.

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 PDF Author: Sir Isaac Newton
Publisher: Univ of California Press
ISBN: 0520321723
Category : Science
Languages : en
Pages : 714

Book Description
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.

Principia Mathematica

Principia Mathematica PDF Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688

Book Description


Newton and the Origin of Civilization

Newton and the Origin of Civilization PDF Author: Jed Z. Buchwald
Publisher: Princeton University Press
ISBN: 0691154783
Category : Biography & Autobiography
Languages : en
Pages : 544

Book Description
Reveals the manner in which Newton strove for nearly half a century to rectify universal history by reading ancient texts through the lens of astronomy, and to create a tight theoretical system for interpreting the evolution of civilization on the basis of population dynamics

Isaac Newton and Natural Philosophy

Isaac Newton and Natural Philosophy PDF Author: Niccolò Guicciardini
Publisher: Reaktion Books
ISBN: 1780239483
Category : Biography & Autobiography
Languages : en
Pages : 269

Book Description
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.

Practical Matter

Practical Matter PDF Author: Margaret C. Jacob
Publisher: Harvard University Press
ISBN: 0674039033
Category : Science
Languages : en
Pages : 212

Book Description
Margaret Jacob and Larry Stewart examine the profound transformation that began in 1687. From the year when Newton published his Principia to the Crystal Palace Exhibition of 1851, science gradually became central to Western thought and economic development. The book aims at a general audience and examines how, despite powerful opposition on the Continent, a Newtonian understanding gained acceptance and practical application. By the mid-eighteenth century the new science had achieved ascendancy, and the race was on to apply Newtonian mechanics to industry and manufacturing. They end the story with the temple to scientific and technological progress that was the Crystal Palace exhibition. Choosing their examples carefully, Jacob and Stewart show that there was nothing preordained or inevitable about the centrality awarded to science. "It is easy to forget that science might have been stillborn, or remained the esoteric knowledge of court elites. Instead, for better and for worse, science became a centerpiece of Western culture."

The Key to Newton's Dynamics

The Key to Newton's Dynamics PDF Author: J. Bruce Brackenridge
Publisher: Univ of California Press
ISBN: 0520202171
Category : Science
Languages : en
Pages : 315

Book Description
"The Key to Newton's Dynamics is lucid, important, and fills a large gap in the existing literature. Brackenridge is undoubtedly that gifted, patient teacher that one expects from a quality liberal arts college."—Alan E. Shapiro, University of Minnesota

The Newton Papers

The Newton Papers PDF Author: Sarah Dry
Publisher: Oxford University Press
ISBN: 0199354197
Category : History
Languages : en
Pages : 355

Book Description
When Isaac Newton died in 1727 without a will, he left behind a wealth of papers that, when examined, gave his followers and his family a deep sense of unease. Some of what they contained was wildly heretical and alchemically obsessed, hinting at a Newton altogether stranger and less palatable than the one enshrined in Westminster Abbey as the paragon of English rationality. These manuscripts had the potential to undermine not merely Newton's reputation, but that of the scientific method he embodied. They were immediately suppressed as "unfit to be printed," and, aside from brief, troubling glimpses spread across centuries, the papers would remain hidden from sight for more than seven generations. In The Newton Papers, Sarah Dry illuminates the tangled history of these private writings over the course of nearly three hundred years, from the long span of Newton's own life into the present day. The writings, on subjects ranging from secret alchemical formulas to impassioned rejections of the Holy Trinity, would eventually come to light as they moved through the hands of relatives, collectors, and scholars. The story of their disappearance, dispersal, and rediscovery is populated by a diverse cast of characters who pursued and possessed the papers, from economist John Maynard Keynes to controversial Jewish Biblical scholar Abraham Yahuda. Dry's captivating narrative moves between these varied personalities, depicting how, as they chased the image of Newton through the thickets of his various obsessions, these men became obsessed themselves with the allure of defining the "true" Newton. Dry skillfully accounts for the ways with which Newton's pursuers have approached his papers over centuries. Ultimately, The Newton Papers shows how Newton has been made and re-made throughout history by those seeking to reconcile the cosmic contradictions of an extraordinarily complex man.

Philosophy Unscrambles Dark Matter

Philosophy Unscrambles Dark Matter PDF Author: Khuram Rafique
Publisher:
ISBN: 9781695176904
Category :
Languages : en
Pages : 146

Book Description
Dark Matter was not matter at all. It was a theoretical brainteaser that finally philosophy had to unscramble. Scientists of today do not like this idea but philosophy is capable to deal with theoretical conundrums like dark matter. First chapter which is like a combat between mathematical counterintuitive physics and human commonsense, explains that human commonsense equipped with proper philosophical approach is capable to deal with the problem of dark matter.After making a case for philosophical method, this book then challenges the fundamental convictions of the established Cosmology and explains that even many visible galaxies are located at (light travel) distance of many hundred billion light years. There is no dark matter in any of the so-called 'proofs' of the existence of dark matter and MOND is also an engineered and artificial solution.This book has solved Galactic Rotation problem using Newton's theory and have shown that available theory was capable to explain the flat rotation curves of galaxies without necessitating the existence of dark matter. Thus theory itself is not challenged, blamed or modified. However understanding of scientists of their so-called counterintuitive theories is blamed. For example, to deal with the Galactic Rotation problem, the relevant part of Newton's Principia Mathematica was Proposition LXXIII, Theorem XXXIII. Whereas to deal with this problem, scientists had wrongfully applied Proposition LXXI, Theorem XXXI. Obviously, inaccurate application of available theory resulted in a fake problem and dark matter only served as a ghost solution to that bogus problem.Not only the Galactic Rotation, other so-called indicators of Dark Matter like Cluster Dynamics, Gravitational Lensing, Bullet Cluster, Dark Matter Ring, Fluctuations in CMB Temperature and Structures Formation etc. also have been explained without requiring the need for Dark Matter.Overall this book has presented a strong case of the failure of counterintuitive regime of established Cosmology and Physics.