TY  - BOOK
AU  - Petters,Arlie O.
AU  - Levine,Harold
AU  - Wambsganss,Joachim
TI  - Singularity theory and gravitational lensing
T2  - Progress in mathematical physics
SN  - 9780817636685 (acidfree paper)
U1  - 530.15 23
PY  - 2001///
CY  - Boston
PB  - Birkhauser
KW  - Gravitational lenses
KW  - Mathematics
KW  - Singularities (Mathematics)
N1  - Includes bibliographical references and indexes; Part I: Introduction --
1. Historical highlights --
2. Central problems --
Part II: Astrophysical aspects --
3. Basic physical concepts --
4. Physical applications --
5. Observations of gravitational lensing --
Part III: Mathematical aspects --
6. Time delay and lensing maps --
7. Critical points and stability --
8. Classification and genericity of stable lens systems --
9. Local lensing geometry --
10. Morese inequalities --
11. Counting lensed images: single-plane case --
12. Counting lensed images: multiplane case --
13. Total magnification --
14. Computing the euler characteristic --
15. Global geometry of caustics --
Bibliography --
Index of notation --
Index
N2  - This monograph develops 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. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent thesis project on gravitational lensing. The book is also a reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists
ER  -