Singularity Theory and Gravitational Lensing:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schriftenreihe: | Progress in Mathematical Physics
21 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This monograph, unique in the literature, 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. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble's constant), microlensing of stars and quasars. The main part of the book---Part III---employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time. Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists |
| Beschreibung: | 1 Online-Ressource (XXV, 603 p) |
| ISBN: | 9781461201458 9781461266334 |
| DOI: | 10.1007/978-1-4612-0145-8 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042419453 | ||
| 003 | DE-604 | ||
| 005 | 20230921 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2001 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461201458 |c Online |9 978-1-4612-0145-8 | ||
| 020 | |a 9781461266334 |c Print |9 978-1-4612-6633-4 | ||
| 024 | 7 | |a 10.1007/978-1-4612-0145-8 |2 doi | |
| 035 | |a (OCoLC)879623452 | ||
| 035 | |a (DE-599)BVBBV042419453 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 530.15 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Petters, Arlie O. |d 1964- |e Verfasser |0 (DE-588)13171970X |4 aut | |
| 245 | 1 | 0 | |a Singularity Theory and Gravitational Lensing |c by Arlie O. Petters, Harold Levine, Joachim Wambsganss |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 2001 | |
| 300 | |a 1 Online-Ressource (XXV, 603 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Progress in Mathematical Physics |v 21 | |
| 500 | |a This monograph, unique in the literature, 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. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble's constant), microlensing of stars and quasars. The main part of the book---Part III---employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time. Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Differential Geometry | |
| 650 | 4 | |a Astrophysics and Astroparticles | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gravitationslinse |0 (DE-588)4210687-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |D s |
| 689 | 0 | 1 | |a Gravitationslinse |0 (DE-588)4210687-4 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Levine, Harold |e Sonstige |4 oth | |
| 700 | 1 | |a Wambsganß, Joachim |d 1961- |e Sonstige |0 (DE-588)122246861 |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-0145-8 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027854870 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153090097545216 |
|---|---|
| any_adam_object | |
| author | Petters, Arlie O. 1964- |
| author_GND | (DE-588)13171970X (DE-588)122246861 |
| author_facet | Petters, Arlie O. 1964- |
| author_role | aut |
| author_sort | Petters, Arlie O. 1964- |
| author_variant | a o p ao aop |
| building | Verbundindex |
| bvnumber | BV042419453 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879623452 (DE-599)BVBBV042419453 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0145-8 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03734nmm a2200577zcb4500</leader><controlfield tag="001">BV042419453</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230921 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461201458</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-0145-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461266334</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-6633-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-0145-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)879623452</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419453</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Petters, Arlie O.</subfield><subfield code="d">1964-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)13171970X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Singularity Theory and Gravitational Lensing</subfield><subfield code="c">by Arlie O. Petters, Harold Levine, Joachim Wambsganss</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XXV, 603 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Progress in Mathematical Physics</subfield><subfield code="v">21</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This monograph, unique in the literature, 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. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble's constant), microlensing of stars and quasars. The main part of the book---Part III---employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time. Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Methods in Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applications of Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Astrophysics and Astroparticles</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gravitationslinse</subfield><subfield code="0">(DE-588)4210687-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gravitationslinse</subfield><subfield code="0">(DE-588)4210687-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Levine, Harold</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wambsganß, Joachim</subfield><subfield code="d">1961-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)122246861</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-0145-8</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027854870</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042419453 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461201458 9781461266334 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854870 |
| oclc_num | 879623452 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XXV, 603 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Progress in Mathematical Physics |
| spelling | Petters, Arlie O. 1964- Verfasser (DE-588)13171970X aut Singularity Theory and Gravitational Lensing by Arlie O. Petters, Harold Levine, Joachim Wambsganss Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XXV, 603 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematical Physics 21 This monograph, unique in the literature, 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. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble's constant), microlensing of stars and quasars. The main part of the book---Part III---employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time. Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors. Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists Physics Mathematics Global differential geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Differential Geometry Astrophysics and Astroparticles Mathematik Mathematische Physik Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Gravitationslinse (DE-588)4210687-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Gravitationslinse (DE-588)4210687-4 s 1\p DE-604 Levine, Harold Sonstige oth Wambsganß, Joachim 1961- Sonstige (DE-588)122246861 oth https://doi.org/10.1007/978-1-4612-0145-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Petters, Arlie O. 1964- Singularity Theory and Gravitational Lensing Physics Mathematics Global differential geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Differential Geometry Astrophysics and Astroparticles Mathematik Mathematische Physik Singularität Mathematik (DE-588)4077459-4 gnd Gravitationslinse (DE-588)4210687-4 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4210687-4 |
| title | Singularity Theory and Gravitational Lensing |
| title_auth | Singularity Theory and Gravitational Lensing |
| title_exact_search | Singularity Theory and Gravitational Lensing |
| title_full | Singularity Theory and Gravitational Lensing by Arlie O. Petters, Harold Levine, Joachim Wambsganss |
| title_fullStr | Singularity Theory and Gravitational Lensing by Arlie O. Petters, Harold Levine, Joachim Wambsganss |
| title_full_unstemmed | Singularity Theory and Gravitational Lensing by Arlie O. Petters, Harold Levine, Joachim Wambsganss |
| title_short | Singularity Theory and Gravitational Lensing |
| title_sort | singularity theory and gravitational lensing |
| topic | Physics Mathematics Global differential geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Differential Geometry Astrophysics and Astroparticles Mathematik Mathematische Physik Singularität Mathematik (DE-588)4077459-4 gnd Gravitationslinse (DE-588)4210687-4 gnd |
| topic_facet | Physics Mathematics Global differential geometry Mathematical physics Mathematical Methods in Physics Applications of Mathematics Differential Geometry Astrophysics and Astroparticles Mathematik Mathematische Physik Singularität Mathematik Gravitationslinse |
| url | https://doi.org/10.1007/978-1-4612-0145-8 |
| work_keys_str_mv | AT pettersarlieo singularitytheoryandgravitationallensing AT levineharold singularitytheoryandgravitationallensing AT wambsganßjoachim singularitytheoryandgravitationallensing |