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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Perlick, Volker |
Ray Optics, Fermat???s Principle, and Applications to General Relativity |
I11221 |
2000 |
eBook |
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| 2 |
Frauendiener, J??rg |
Analytical and Numerical Approaches to Mathematical Relativity |
I06140 |
2006 |
eBook |
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| Title | Ray Optics, Fermat???s Principle, and Applications to General Relativity |
| Author(s) | Perlick, Volker |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2000. |
| Description | X, 222 p : online resource |
| Abstract Note | This book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its own right, making extensive use of the Hamiltonian formalism. This part also includes a detailed discussion of variational principles (i.e., various versions of Fermat's principle) for light rays in general-relativistic media. Some applications, e.g. to gravitational lensing, are worked out. The reader is assumed to have some basic knowledge of general relativity and some familiarity with differential geometry. Some of the results are published here for the first time, e.g. a general-relativistic version of Fermat's principle for light rays in a medium that has to satisfy some regularity condition only |
| ISBN,Price | 9783540466628 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. ASTROPHYSICS
4. Astrophysics and Astroparticles
5. Classical and Quantum Gravitation, Relativity Theory
6. CLASSICAL ELECTRODYNAMICS
7. EBOOK
8. EBOOK - SPRINGER
9. ELECTRODYNAMICS
10. ENGINEERING MATHEMATICS
11. GRAVITATION
12. MAGNETIC MATERIALS
13. MAGNETISM
14. Magnetism, Magnetic Materials
15. Mathematical Methods in Physics
16. OPTICS
17. PHYSICS
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11221 |
|
|
On Shelf |
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2.
 | |
| Title | Analytical and Numerical Approaches to Mathematical Relativity |
| Author(s) | Frauendiener, J??rg;Giulini, Domenico J. W;Perlick, Volker |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. |
| Description | XVII, 281 p : online resource |
| Abstract Note | Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike |
| ISBN,Price | 9783540334842 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. DIFFERENTIAL GEOMETRY
4. EBOOK
5. EBOOK - SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)
9. Mathematical Methods in Physics
10. Numerical and Computational Physics, Simulation
11. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06140 |
|
|
On Shelf |
|
|
|
| |