Newton's Principia for the Common Reader

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Clarendon Press, 2003 - 593 síđur
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. 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.
 

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1 The beginnings and the writing of the Principia
1
Definitions and Axioms
17
3 On the notion of limits and the ratios of evanescent quantities
43
an introduction to Newtons treatment
57
5 The law of areas and some relations which follow
67
6 The motion of bodies along conic sections
93
on dual laws of centripetal attraction
114
7 Keplers equation and its solution
127
16 Attraction by nonspherical bodies
303
17 A digression into Opticks
323
Introduction to Newtons System of the World Book III
343
18 Prolegomenon
345
19 The universal law of gravitation
353
20 The figure of the Earth and of the planets
381
21 On the theory of tides
399
22 The lunar theory
419

8 The rectilinear ascent and descent of bodies
143
9 The conservation of energy and the initialvalue problem
165
10 On revolving orbits
183
11 A pause
201
12 The twobody problem
205
an introduction to Propositions LXVLXIX
219
the foundations of Newtons lunar theory
235
15 The superb theorems
269
23 The precession of the equinoxes
455
24 On comets
477
25 The effect of airdrag on the descent of bodies
539
26 The solid of least resistance
555
27 The problem of the brachistochrone
571
28 The velocity of sound and of long waves in canals
579
Epilogue
595
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