Autor: Harold Levine
ISBN13: 9780817636685
Einband: Book
Seiten: 632
Gewicht: 1330 g
Format: 261x184x40 mm
Sprache: Englisch
Singularity Theory and Gravitational Lensing
Book
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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.
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.
Foreword / D. Spergel * Preface * I. Introduction * 1. Historical Highlights * 2. The Central Problems * II. Astrophysical Aspects * 3. Basic Physical Concepts * 4. Physical Applications * 5. Observations of Gravitational Lensing * III. Mathematical Aspects * 6. Time Delay and Lensing Maps * 7. Critical Points and Stability * 8. Classification and Genericity of Stable Lens Systems * 9. Local Geometry of Caustics * 10. Morse Inequalities * 11. Counting Lensed Images: Single Plane Case * 12. Counting Lensed Images: Multiplane Case * 13. Magnification of Lensed Images * 14. Computing the Euler Characteristic * 15. Global Geometry of Caustics * Bibliography * Index of Notation * Index
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.
Autor: Harold Levine, Arlie O. Petters, Joachim Wambsganss
Rezension"The time is ripe for a comprehensive volume explaining gravitational lensing to mathematicians and reviewing relevant singularity theory for astrophysicists. This is such a book. [It]. is accessible and attractive,. ranging widely through the history, physics and mathematics to paint a full picture of this. theory. This most attractively presented book summarizes current mathematical methods in the field and sets the stage for further exciting developments. A collaboration between a mathematical physicist, a mathematician, and a physicist, it has something for everybody." Mathematical Reviews "This is a welldeveloped monograph on gravitational lensing both from the observational and from the mathematical points of view. However, also independent of the present interest in gravitational lensing, this book is a good source for several types of singularity theories. index and bibliography are very well done." Zentralblatt Math "The rather voluminous monograph to be reviewed here covers both astrophysical and mathematicsl aspects of gravitational lensing. The scientific backgrohnd of the three authors guarantees that they are the right persons for such an enterprise. Arlie Petters is one of very few scientists who are competent in mathematics as well as in astrophysics. His coauthors are a pure astrophysicist and a pure matheamtician: Joachim Wambsganss is aleading expert on gravitational lensing as a tool in astrophysics and Harold Levine has made important contributions to the theory of signularities of maps in the 1960s. "It is not much of an exaggeration to say that large parts of this monograph can serve as a selfcontained matheamtics textbook on the theory of singularites of maps and related subjects, and even a particularly wellwritten one. So I would not hesitate to recommend it to pure matheamticians who will find a fine exposistion of a subject from their field, along with applicaions to astrophysics which should be very well readable for them. I also recommend the book to pure astrophysicists, because it contains a lot of material which has a high atrophysical relevance. If one compares to tbook by Petters, Leven and Wambsganss with the earlier mongraph on gravtiational lenses by Schneider, Ehlers and Falco, one finds that there is not very much overlap. The two books rather complement each other." Gen. Relativ. Gravit.
Rezension"The time is ripe for a comprehensive volume explaining gravitational lensing to mathematicians and reviewing relevant singularity theory for astrophysicists. This is such a book. [It]. is accessible and attractive,. ranging widely through the history, physics and mathematics to paint a full picture of this. theory. This most attractively presented book summarizes current mathematical methods in the field and sets the stage for further exciting developments. A collaboration between a mathematical physicist, a mathematician, and a physicist, it has something for everybody." Mathematical Reviews "This is a welldeveloped monograph on gravitational lensing both from the observational and from the mathematical points of view. However, also independent of the present interest in gravitational lensing, this book is a good source for several types of singularity theories. index and bibliography are very well done." Zentralblatt Math "The rather voluminous monograph to be reviewed here covers both astrophysical and mathematicsl aspects of gravitational lensing. The scientific backgrohnd of the three authors guarantees that they are the right persons for such an enterprise. Arlie Petters is one of very few scientists who are competent in mathematics as well as in astrophysics. His coauthors are a pure astrophysicist and a pure matheamtician: Joachim Wambsganss is aleading expert on gravitational lensing as a tool in astrophysics and Harold Levine has made important contributions to the theory of signularities of maps in the 1960s. "It is not much of an exaggeration to say that large parts of this monograph can serve as a selfcontained matheamtics textbook on the theory of singularites of maps and related subjects, and even a particularly wellwritten one. So I would not hesitate to recommend it to pure matheamticians who will find a fine exposistion of a subject from their field, along with applicaions to astrophysics which should be very well readable for them. I also recommend the book to pure astrophysicists, because it contains a lot of material which has a high atrophysical relevance. If one compares to tbook by Petters, Leven and Wambsganss with the earlier mongraph on gravtiational lenses by Schneider, Ehlers and Falco, one finds that there is not very much overlap. The two books rather complement each other." Gen. Relativ. Gravit.
Autor: Harold Levine
ISBN13 :: 9780817636685
ISBN: 0817636684
Erscheinungsjahr: 15.06.2001
Verlag: Birkhäuser Boston
Gewicht: 1330g
Seiten: 632
Sprache: Englisch
Auflage 2001
Sonstiges: Buch, 261x184x40 mm
ISBN13 :: 9780817636685
ISBN: 0817636684
Erscheinungsjahr: 15.06.2001
Verlag: Birkhäuser Boston
Gewicht: 1330g
Seiten: 632
Sprache: Englisch
Auflage 2001
Sonstiges: Buch, 261x184x40 mm