The Principia: The Authoritative Translation and Guide

Mathematical Principles of Natural Philosophy

Author: Sir Isaac Newton

Publisher: Univ of California Press

ISBN: 0520964810

Category: Science

Page: 992

View: 7843

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In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students.

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

Author: Sir Isaac Newton,Florian Cajori

Publisher: Univ of California Press

ISBN: 9780520009271

Category: Mathematics

Page: 680

View: 4638

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I consider philosophy rather than arts and write not concerning manual but natural powers, and consider chiefly those things which relate to gravity, levity, elastic force, the resistance of fluids, and the like forces, whether attractive or impulsive; and therefore I offer this work as the mathematical principles of philosophy.In the third book I give an example of this in the explication of the System of the World. I derive from celestial phenomena the forces of gravity with which bodies tend to the sun and other planets.

The Principia: The Authoritative Translation and Guide

Mathematical Principles of Natural Philosophy

Author: Isaac Newton,Julia Budenz

Publisher: Univ of California Press

ISBN: 0520290879

Category: Mathematics

Page: 992

View: 1165

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In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students. Designed with collectors in mind, this deluxe edition has faux leather binding covered with a beautiful dustjacket.

Newton's Philosophy of Nature

Selections from His Writings

Author: Sir Isaac Newton

Publisher: Courier Corporation

ISBN: 0486170276

Category: Science

Page: 224

View: 5347

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A wide, accessible representation of the interests, problems, and philosophic issues that preoccupied the great 17th-century scientist, this collection is grouped according to methods, principles, and theological considerations. 1953 edition.

Magnificent Principia

Exploring Isaac Newton's Masterpiece

Author: Colin Pask

Publisher: Prometheus Books

ISBN: 1616147466

Category: Science

Page: 528

View: 9917

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Nobel laureate Steven Weinberg has written that "all that has happened since 1687 is a gloss on the Principia." Now you too can appreciate the significance of this stellar work, regarded by many as the greatest scientific contribution of all time. Despite its dazzling reputation, Isaac Newton's Philosophiae Naturalis Principia Mathematica, or simply the Principia, remains a mystery for many people. Few of even the most intellectually curious readers, including professional scientists and mathematicians, have actually looked in the Principia or appreciate its contents. Mathematician Pask seeks to remedy this deficit in this accessible guided tour through Newton's masterpiece. Using the final edition of the Principia, Pask clearly demonstrates how it sets out Newton's (and now our) approach to science; how the framework of classical mechanics is established; how terrestrial phenomena like the tides and projectile motion are explained; and how we can understand the dynamics of the solar system and the paths of comets. He also includes scene-setting chapters about Newton himself and scientific developments in his time, as well as chapters about the reception and influence of the Principia up to the present day. From the Hardcover edition.

Newton's Principia for the Common Reader

Author: Subrahmanyan Chandrasekhar

Publisher: Oxford University Press

ISBN: 019852675X

Category: Business & Economics

Page: 593

View: 5566

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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 we have 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 of gravitation. 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 the University of Chicago, where he has was based from 1937 until his deathin 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 of fluids, 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 profound admiration for a scientist whose work he believed is unsurpassed, and unsurpassable.

Isaac Newton on Mathematical Certainty and Method

Author: Niccolò Guicciardini

Publisher: MIT Press

ISBN: 0262013177

Category: Mathematics

Page: 422

View: 7126

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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.

The Principia

Mathematical Principles of Natural Philosophy

Author: Isaac Newton,I. Bernard Cohen,Anne Whitman

Publisher: Univ of California Press

ISBN: 0520088166

Category: Science

Page: 974

View: 6768

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Presents Newton's unifying idea of gravitation and explains how he converted physics from a science of explanation into a general mathematical system.

Science and the Founding Fathers

Science in the Political Thought of Jefferson, Franklin, Adams and Madison

Author: I. Bernard Cohen

Publisher: W. W. Norton & Company

ISBN: 9780393315103

Category: Biography & Autobiography

Page: 368

View: 6979

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The story of the scientific education of Thomas Jefferson, Benjamin Franklin, John Adams, and James Madison reveals that science was an integral part of their lives and shows how they used it to shape political issues of the day.

Benjamin Franklin's Science

Author: I. Bernard Cohen

Publisher: Harvard University Press

ISBN: 9780674066595

Category: Biography & Autobiography

Page: 273

View: 6255

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Benjamin Franklin is well known to most of us, yet his fundamental and wide-ranging contributions to science are still not adequately understood. Until now he has usually been incorrectly regarded as a practical inventor and tinkerer rather than a scientific thinker. He was elected to membership in the elite Royal Society because his experiments and original theory of electricity had made a science of that new subject. His popular fame came from his two lightning experimentsâe"the sentry-box experiment and the later and more famous experiment of the kiteâe"which confirmed his theoretical speculations about the identity of electricity and provided a basis for the practical invention of the lightning rod. Franklin advanced the eighteenth-century understanding of all phenomena of electricity and provided a model for experimental science in general. I. Bernard Cohen, an eminent historian of science and the principal elucidator of Franklinâe(tm)s scientific work, examines his activities in fields ranging from heat to astronomy. He provides masterful accounts of the theoretical background of Franklinâe(tm)s science (especially his study of Newton), the experiments he performed, and their influence throughout Europe as well as the United States. Cohen emphasizes that Franklinâe(tm)s political and diplomatic career cannot be understood apart from his scientific activities, which established his reputation and brought him into contact with leaders of British and European society. A supplement by Samuel J. Edgerton considers Franklinâe(tm)s attempts to improve the design of heating stoves, another practical application that arose from theoretical interests. This volume will be valuable to all readers wanting to learn more about Franklin and to gain a deeper appreciation of the development of science in America.

The Cambridge Companion to Newton

Author: I. Bernard Cohen,George E. Smith

Publisher: Cambridge University Press

ISBN: 9780521656962

Category: History

Page: 500

View: 4729

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In this volume a team of distinguished contributors examines all the main aspects of Newton's thought.

Principia Mathematica by Newton

Brown

Author: Discovery Books Llc

Publisher: N.A

ISBN: 9780998092386

Category:

Page: 128

View: 4914

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Lined Journal, Hand Made in Italy. Rich, embossed cover reproducing the title page from Principia Mathematica by Newton. Soft, simulated leather cover. Color: Brown. Cover Design: Known throughout the world as simply Principia, Sir Isaac Newton s classic work printed in London in the year 1687."

Force and Geometry in Newton's "Principia"

Author: François De Gandt

Publisher: Princeton University Press

ISBN: 1400864127

Category: Science

Page: 312

View: 2510

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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.

Quantum Field Theory

The Why, What and How

Author: Thanu Padmanabhan

Publisher: Springer

ISBN: 3319281739

Category: Science

Page: 283

View: 8591

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This book describes, in clear terms, the Why, What and the How of Quantum Field Theory. The raison d'etre of QFT is explained by starting from the dynamics of a relativistic particle and demonstrating how it leads to the notion of quantum fields. Non-perturbative aspects and the Wilsonian interpretation of field theory are emphasized right from the start. Several interesting topics such as the Schwinger effect, Davies-Unruh effect, Casimir effect and spontaneous symmetry breaking introduce the reader to the elegance and breadth of applicability of field theoretical concepts. Complementing the conceptual aspects, the book also develops all the relevant mathematical techniques in detail, leading e.g., to the computation of anomalous magnetic moment of the electron and the two-loop renormalisation of the self-interacting scalar field. It contains nearly a hundred problems, of varying degrees of difficulty, making it suitable for both self-study and classroom use.

Brilliant Blunders

From Darwin to Einstein - Colossal Mistakes by Great Scientists That Changed Our Understanding of Life and the Universe

Author: Mario Livio

Publisher: Simon and Schuster

ISBN: 1439192375

Category: Biography & Autobiography

Page: 352

View: 7078

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We all make mistakes. Nobody is perfect. And that includes five of the greatest scientists in history -- Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, Albert Einstein. But the mistakes that these great scientists made helped science to advance. Indeed, as Mario Livio explains in this fascinating book, science thrives on error; it advances when erroneous ideas are disproven. All five scientists were great geniuses and fascinating human beings. Their blunders were part of their genius and part of the scientific process. Livio brilliantly analyses their errors to show where they were wrong and right, but what makes his book so enjoyable to read is Livio's analysis of the psychology of these towering figures. Along the way the reader learns an enormous amount about the evolution of life on earth and in the universe, but from an unusual vantage point -- the mistakes of great scientists rather than the achievements that made them famous.

Newton's Principia

the central argument

Author: Sir Isaac Newton,Dana Densmore

Publisher: Green Lion Pr

ISBN: N.A

Category: Mathematics

Page: 525

View: 7713

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Makes the great adventure of Principia available not only to modern scholars of history of science, but also to nonspecialist undergraduate students of humanities. It moves carefully from Newton's definitions and axioms through the essential propositions, as Newton himself identified them, to the establishment of universal gravitation and elliptical orbits. The guidebook unfolds what is implicit in Newton's words as he himself would have filled in the steps and completes the argument in ways that are authentic and not anachronistic, exactly following Newton's thinking rather than substituting tools of modern calculus or the formulations of modern physics. It is Newton in his own terms. This is a wonderful book. --Richard S. Westfall

New Theory about Light and Colour

Author: Sir Isaac Newton

Publisher: Library of Alexandria

ISBN: 1465595619

Category:

Page: N.A

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To perform my late promise to you, I shall without further ceremony acquaint you, that in the beginning of the Year 1666 (at which time I applyed my self to the grinding of Optick glasses of other figures than Spherical,) I procured me a Triangular glass-Prisme, to try therewith the celebrated Phænomena of Colours. And in order thereto having darkened my chamber, and made a small hole in my window-shuts, to let in a convenient quantity of the Suns light, I placed my Prisme at his entrance, that it might be thereby refracted to the opposite wall. It was at first a very pleasing divertisement, to view the vivid and intense colours produced thereby; but after a while applying my self to consider them more circumspectly, I became surprised to see them in an oblong form; which, according to the received laws of Refraction, I expected should have been circular. They were terminated at the sides with streight lines, but at the ends, the decay of light was so gradual, that it was difficult to determine justly, what was their figure; yet they seemed semicircular. Comparing the length of this coloured Spectrum with its breadth, I found it about five times greater; a disproportion so extravagant, that it excited me to a more then ordinary curiosity of examining, from whence it might proceed. I could scarce think, that the various Thickness of the glass, or the termination with shadow or darkness, could have any Influence on light to produce such an effect; yet I thought it not amiss, first to examine those circumstances, and so tryed, what would happen by transmitting light through parts of the glass of divers thicknesses, or through holes in the window of divers bignesses, or by setting the Prisme without so, that the light might pass through it, and be refracted before it was terminated by the hole: But I found none of those circumstances material. The fashion of the colours was in all these cases the same.

The System of the World

De Mundi Systemate

Author: Isaac Newton, Sir

Publisher: Createspace Independent Publishing Platform

ISBN: 9781537734828

Category:

Page: 78

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It was the ancient opinion of not a few, in the earliest ages of philosophy, that the fixed stars stood immoveable in the highest parts of the world; that, under the fixed stars the planets were carried about the sun; that the earth, us one of the planets, described an annual course about the sun, while by a diurnal motion it was in the mean time revolved about its own axis; and that the sun, as the common fire which served to warm the whole, was fixed in the centre of the universe. This was the philosophy taught of old by Philolaus, Aristarchus of Samos, Plato in his riper years, and the whole sect of the Pythagoreans; and this was the judgment of Anaximander, more ancient than any of them; and of that wise king of the Romans, Numa Pompilius, who, as a symbol of the figure of the world with the sun in the centre, erected a temple in honour of Vesta, of a round form, and ordained perpetual fire to be kept in the middle of it. The Egyptians were early observers of the heavens; and from them, probably, this philosophy was spread abroad among other nations; for from them it was, and the nations about them, that the Greeks, a people of themselves more addicted to the study of philology than of nature, derived their first, as well as soundest, notions of philosophy; and in the vestal ceremonies we may yet trace the ancient spirit of the Egyptians; for it was their way to deliver their mysteries, that is, their philosophy of things above the vulgar way of thinking, under the veil of religious rites and hieroglyphic symbols.