First monograph to develop a mathematical theory of gravitational
lensing. Introductory chapters present historical highlights and
astrophysical aspects of the subject. Main part of the book employs
ideas and results of singularity theory to put gravitational lensing on
a rigorous mathematical foundation to solve certain key lensing
problems. Many results published for the first time. Includes examples,
illustrations, bibliography and index. For a wide audience of students,
mathematicians, mathematical physicists, astrophysicists, and
physicists.