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Singularity theory and gravitational lensing / Arlie O. Petters, Harold Levine and Joachim Wambsganss.

By: Contributor(s): Material type: TextTextSeries: Progress in mathematical physics ; v 21.Publication details: Boston : Birkhauser, 2001.Description: xii, 603 p. : illustrations ; 25 cmISBN:
  • 9780817636685 (acidfree paper)
Subject(s): DDC classification:
  • 530.15 23 P499
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 530.15 P499 (Browse shelf(Opens below)) Available 136903
Total holds: 0

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.

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.

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