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Author: Vladimir I. Arnold Publisher: Birkhäuser ISBN: 3034891296 Category : Mathematics Languages : en Pages : 120
Book Description
Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
Author: Vladimir I. Arnold Publisher: Birkhäuser ISBN: 3034891296 Category : Mathematics Languages : en Pages : 120
Book Description
Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
Author: Ofer Gal Publisher: Springer Science & Business Media ISBN: 9401722234 Category : History Languages : en Pages : 260
Book Description
This book is a historical-epistemological study of one of the most consequential breakthroughs in the history of celestial mechanics: Robert Hooke's (1635-1703) proposal to "compoun[d] the celestial motions of the planets of a direct motion by the tangent & an attractive motion towards a centrat body" (Newton, The Correspondence li, 297. Henceforth: Correspondence). This is the challenge Hooke presented to Isaac Newton (1642-1727) in a short but intense correspondence in the winter of 1679-80, which set Newton on course for his 1687 Principia, transforming the very concept of "the planetary heavens" in the process (Herivel, 301: De Motu, Version III). 1 It is difficult to overstate the novelty of Hooke 's Programme • The celestial motions, it suggested, those proverbial symbols of stability and immutability, werein fact a process of continuous change: a deflection of the planets from original rectilinear paths by "a centraU attractive power" (Correspondence, li, 313). There was nothing necessary or essential in the shape of planetary orbits. Already known to be "not circular nor concentricall" (ibid. ), Hooke claimed that these apparently closed "curve Line[ s ]" should be understood and calculated as mere effects of rectilinear motions and rectilinear attraction. And as Newton was quick to realize, this also implied that "the planets neither move exactly in ellipse nor revolve twice in the same orbit, so that there are as many orbits to a planet as it has revolutions" (Herivel, 301: De Motu, Version III).
Author: Thomas Sonar Publisher: Birkhäuser ISBN: 3319725637 Category : Mathematics Languages : en Pages : 549
Book Description
This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!
Author: Gale E. Christianson Publisher: ISBN: Category : Mathematicians Languages : en Pages : 664
Book Description
Publisher description: Gale E. Christianson has turned his full attention to one man alone, Isaac Newton, who emerges full-blown in these pages not merely as a preeminent astronomer but as the figure history has long known him to be : the greatest scientific thinker of modern times.
Author: Richard S. Westfall Publisher: Cambridge University Press ISBN: 1107469449 Category : Science Languages : en Pages : 356
Book Description
Isaac Newton was indisputably one of the greatest scientists in history. His achievements in mathematics and physics marked the culmination of the movement that brought modern science into being. Richard Westfall's biography captures in engaging detail both his private life and scientific career, presenting a complex picture of Newton the man, and as scientist, philosopher, theologian, alchemist and public figure, President of the Royal Society and Warden of the Royal Mint. An abridged version of his magisterial study Never at Rest, this concise biography is now published for the first time in paperback and makes Westfall's highly acclaimed portrait of Newton newly accessible to general readers.
Author: Richard S. Westfall Publisher: Cambridge University Press ISBN: 9780521477376 Category : Biography & Autobiography Languages : en Pages : 356
Book Description
Isaac Newton was indisputably one of the greatest scientists in history. His achievements in mathematics and physics marked the culmination of the movement that brought modern science into being. Richard Westfall's biography captures in engaging detail both his private life and scientific career, presenting a complex picture of Newton the man, and as scientist, philosopher, theologian, alchemist and public figure, President of the Royal Society and Warden of the Royal Mint. An abridged version of his magisterial study Never at Rest, this concise biography is now published for the first time in paperback and makes Westfall's highly acclaimed portrait of Newton newly accessible to general readers.
Author: Michael Roberts Publisher: Happy Printers ISBN: Category : Color Languages : en Pages : 164
Book Description
Is Yahtzee your passion? Then, this book is what for you. Record the score of each player and dice throwing Keep track of every full, three of a kind, chance and, of course, every Lucky Yahtzee launch Product Details:
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.
Author: Alfred Rupert Hall Publisher: Oxford University Press, USA ISBN: Category : Optics Languages : en Pages : 272
Book Description
Opticks is Newton's most popular book. It is a complex work, the fruit of forty years of thought and investigation. Newton devoted various periods of experimentation to this final expression of his life's work and drew on the results of successive interactions with other scientists and thinkers. This introduction to his book seeks to disentangle the different layers of his thought in the light of these influences while explaining the development of the final text. It faces the problem of the changes in Newton's ideas in the course of the book's long preparation, touching on such deep questions of natural philosophy as atomism, forces, and the aether. The author also looks in detail at the way Newton has been interpreted both at home and abroad. This book, with its readable style and nonmathematical approach, should serve as an introduction to this area of Newton's science seen in the context of eighteenth century thought in Europe.
Author: Vladimir I. Arnold
Author: Vladimir I. Arnold
Author: Vladimir I Arnold
Author: Ofer Gal
Author: Thomas Sonar
Author: Gale E. Christianson
Author: Richard S. Westfall
Author: Richard S. Westfall
Author: Michael Roberts
Author: Subrahmanyan Chandrasekhar
Author: Alfred Rupert Hall