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  • Newton's Principia for the Common Reader

    Newton's Principia for the Common Reader by Chandrasekhar, S.;

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    A termék adatai:

    • Kiadó OUP Oxford
    • Megjelenés dátuma 1995. június 15.

    • ISBN 9780198517443
    • Kötéstípus Keménykötés
    • Terjedelem616 oldal
    • Méret 257x209x38 mm
    • Súly 1782 g
    • Nyelv angol
    • Illusztrációk frontispiece, halftones, numerous line figures
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    Rövid leírás:

    Professor Chandrasekhar provides a comprehensive analysis of the main themes of the Principia. His book can be regarded as an attempt by a distinguished practising scientist to read and comprehend the intellectual achievement that the Principia is, based solely on the book itself without recourse to secondary sources. Thereby he has made the work accessible to the modern reader. This will undoubtedly become a collector's item.

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    Hosszú leírás:

    Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravity. The Principia is, in fact, a model for all mathematical physics.

    Representing a decade's work from one of the world's most distinguished physicists, this major publication is, as far as is known, the first comprehensive analysis of Newton's Principia without recourse to secondary sources. 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 breathtaking economy of Newton's methods. Chandrasehkar's work is an attempt by a distinguished practising scientist to read and comprehend the enormous intellectual achievement of the Principia. This book will stimulate great interest and debate among the scientific community, illuminating the brilliance of Newton's work under the steady gaze of Chandrasekhar's rare perception.

    To grasp the truly awesome nature of Newton's achievement in the Principia, it is necessary to turn to Subrahmanyan Chandrasekhar's Newton's Principia for the Common Reader... THis is a valuable guide to the Principia - certainly beyond the level of the "common reader" - that will take its place in the succession of major commentaries on the Principia of the past three centuries.

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    Tartalomjegyzék:

    Prologue
    The beginnings and the writing of the Principia
    Basic concepts: definition and axioms
    On the notion of limits and the ratios of evanescent quantities
    On the motion of particles under centripetal attraction: an introduction to Newton's treatment
    The law of areas and some relations which follow
    The motion of bodies along conic sections
    Kepler's equation and its solution
    The rectilinear ascent and descent of bodies
    The conservation of energy and the initial value problem
    On revolving orbits
    A pause
    The two-body problem
    The method of the variations of the elements of a Kepler orbit and Newton's lunar theory: an introduction to propositions LXV-LXIX
    The three body problem: the foundations of Newton's lunar theory
    The superb theorems
    Attraction by non-spherical bodies
    A digression into Opticks
    Prolegomenon
    The universal law of gravitation
    The figure of the earth and of the planets
    On the theory of tides
    The lunar theory
    The precession of the equinoxes
    On the comets
    The effect of air-drag on the descent of bodies
    The solid of least resistance
    The problem of the brachistochrone
    The velocity of sound and long waves in canals

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