Newton's Principia for the Common Reader
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Product details:
- Publisher OUP Oxford
- Date of Publication 15 June 1995
- ISBN 9780198517443
- Binding Hardback
- No. of pages616 pages
- Size 257x209x38 mm
- Weight 1782 g
- Language English
- Illustrations frontispiece, halftones, numerous line figures 0
Categories
Short description:
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.
MoreLong description:
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.
Table of Contents:
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
