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The n-Body Problem in General Relativity (Paperback, Softcover reprint of hardcover 1st ed. 1964)
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The n-Body Problem in General Relativity (Paperback, Softcover reprint of hardcover 1st ed. 1964)
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1 IN THE MONOGRAPH SERIES directed by Henri Villat , several fasci-
cules have been devoted to Relativity. First there are the general
presentations ofTh. De Donder (nos. 8, 14, 43, 58), and then those
more specifically devoted to Einsteinian gravitation - notably
Georges Darmois's contribution (no. 25) and that of J. Haag (no.
46) on the Schwarzschild problem. The present fascicule takes its
place alongside the two latter monographs, but it has been
conceived and composed in such a way that it may be read and
understood by anyone with a knowledge of the principles of Absolute
Differential Calculus and of Relativity - either from the original
exposi- tions of Einstein, Weyl, or Eddington, or, in French, from
Cartan's excel- 2 lent works (for everything having to do with
mathematical theories) and 3 from Chazy's (for Relativity and
Celestial Mechanics), or naturally from Levi-Civita's The Absolute
Differential Calculus (first edition, London and Glasgow, Blackie
and Son, 1927) where the two original papers written in Italian are
brought together: namely, Calcolo differenziale assoluto and
Fondamenti di meccanica relativistica (Bologna, Zanichelli). As for
the present fascicule, it is hardly necessary to point out that, as
its title indicates, we seek to establish in the simplest possible
terms the rela- tivistic aspect of what Newton and those who
followed him regarded as the key to ordinary Celestial Mechanics.
General
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