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.

1 The Beginnings and the Writing of the Principia
2 Basic Concepts: Definitions 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 Teatment
5 The Law 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 Variation 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
Introduction to Newton's System of the World(Book Ⅲ)
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 Precesstion of the Equinoxes
24 On 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 of Long Waves in Canals

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