Newton's Principia for the Common Reader

NOTE EDITORE

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.

SOMMARIO

1 - The beginnings and the writing of the Principia2 - Basic concepts: definition and axioms3 - On the notion of limits and the ratios of evanescent quantities4 - On the motion of particles under centripetal attraction: an introduction to Newton's treatment5 - The law of areas and some relations which follow6 - The motion of bodies along conic sections7 - Kepler's equation and its solution8 - The rectilinear ascent and descent of bodies9 - The conservation of energy and the initial value problem10 - On revolving orbits11 - A pause12 - The two-body problem13 - The method of the variations of the elements of a Kepler orbit and Newton's lunar theory: an introduction to propositions LXV-LXIX14 - The three body problem: the foundations of Newton's lunar theory15 - The superb theorems16 - Attraction by non-spherical bodies17 - A digression into Opticks18 - Prolegomenon19 - The universal law of gravitation20 - The figure of the earth and of the planets21 - On the theory of tides22 - The lunar theory23 - The precession of the equinoxes24 - On the comets25 - The effect of air-drag on the descent of bodies26 - The solid of least resistance27 - The problem of the brachistochrone28 - The velocity of sound and long waves in canals

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780198517443
• Dimensioni: 257 x 38.0 x 209 mm Ø 1782 gr
• Formato: Copertina rigida
• Illustration Notes: frontispiece, halftones, numerous line figures
• Pagine Arabe: 616