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chandrasekhar s. - newton's       principia for the common reader
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Newton's Principia for the Common Reader




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 06/1995





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 Principia
2 - Basic concepts: definition and axioms
3 - On the notion of limits and the ratios of evanescent quantities
4 - On the motion of particles under centripetal attraction: an introduction to Newton's treatment
5 - The law of areas and some relations which follow
6 - The motion of bodies along conic sections
7 - Kepler's equation and its solution
8 - The rectilinear ascent and descent of bodies
9 - The conservation of energy and the initial value problem
10 - On revolving orbits
11 - A pause
12 - The two-body problem
13 - The method of the variations of the elements of a Kepler orbit and Newton's lunar theory: an introduction to propositions LXV-LXIX
14 - The three body problem: the foundations of Newton's lunar theory
15 - The superb theorems
16 - Attraction by non-spherical bodies
17 - A digression into Opticks
18 - Prolegomenon
19 - The universal law of gravitation
20 - The figure of the earth and of the planets
21 - On the theory of tides
22 - The lunar theory
23 - The precession of the equinoxes
24 - On the comets
25 - The effect of air-drag on the descent of bodies
26 - The solid of least resistance
27 - The problem of the brachistochrone
28 - The velocity of sound and long waves in canals










Altre Informazioni

ISBN:

9780198517443

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


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