This monograph is the first to develop a mathematical theory of
gravitational lensing. The theory applies to any finite number of
deflector planes and highlights the distinctions between single and
multiple plane lensing. Introductory material in Parts I and II
present historical highlights and the astrophysical aspects of the
subject. Part III employs the ideas and results of singularity
theory to put gravitational lensing on a rigorous mathematical
foundation.
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