The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schriftenreihe: | Progress in Mathematical Physics
29 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book contains a comprehensive treatment of the Kepler problem, i.e., the two body problem. It is divided into four parts. In the first part, written at an undergraduate student level, the arguments are presented in an elementary fashion, and the properties of the problem are demonstrated in a purely computational manner. In the second part a unifying point of view, original to the author, is presented which centers the exposition on the intrinsic group-geometrical aspects. This part requires more mathematical background, which the reader will find in the fourth part, in particular, the basic tools of differential geometry and analytical mechanics used in the book. The third part exploits some results of the second part to give a geometrical description of the perturbation theory of the Kepler problem. Each of the four parts, which are to some extent independent, could itself form the basis for a one-semester course. The accompanying CD contains mainly the Microsoft Windows program KEPLER developed by the author. This program calculates the effects of any perturbation of the Kepler problem and plots the resulting trajectories |
| Beschreibung: | 1 Online-Ressource (XVII, 442 p) |
| ISBN: | 9783034880510 9783034894210 |
| DOI: | 10.1007/978-3-0348-8051-0 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042422021 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9783034880510 |c Online |9 978-3-0348-8051-0 | ||
| 020 | |a 9783034894210 |c Print |9 978-3-0348-9421-0 | ||
| 024 | 7 | |a 10.1007/978-3-0348-8051-0 |2 doi | |
| 035 | |a (OCoLC)863807321 | ||
| 035 | |a (DE-599)BVBBV042422021 | ||
| 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 Cordani, Bruno |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Kepler Problem |b Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations |c by Bruno Cordani |
| 264 | 1 | |a Basel |b Birkhäuser Basel |c 2003 | |
| 300 | |a 1 Online-Ressource (XVII, 442 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Progress in Mathematical Physics |v 29 | |
| 500 | |a This book contains a comprehensive treatment of the Kepler problem, i.e., the two body problem. It is divided into four parts. In the first part, written at an undergraduate student level, the arguments are presented in an elementary fashion, and the properties of the problem are demonstrated in a purely computational manner. In the second part a unifying point of view, original to the author, is presented which centers the exposition on the intrinsic group-geometrical aspects. This part requires more mathematical background, which the reader will find in the fourth part, in particular, the basic tools of differential geometry and analytical mechanics used in the book. The third part exploits some results of the second part to give a geometrical description of the perturbation theory of the Kepler problem. Each of the four parts, which are to some extent independent, could itself form the basis for a one-semester course. The accompanying CD contains mainly the Microsoft Windows program KEPLER developed by the author. This program calculates the effects of any perturbation of the Kepler problem and plots the resulting trajectories | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Topological Groups | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Mathematical Methods in Physics | |
| 650 | 4 | |a Topological Groups, Lie Groups | |
| 650 | 4 | |a Astrophysics and Astroparticles | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 0 | 7 | |a Kepler-Bewegung |0 (DE-588)4163577-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kepler-Bewegung |0 (DE-588)4163577-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-8051-0 |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:BVB01-027857438 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153095842693120 |
|---|---|
| any_adam_object | |
| author | Cordani, Bruno |
| author_facet | Cordani, Bruno |
| author_role | aut |
| author_sort | Cordani, Bruno |
| author_variant | b c bc |
| building | Verbundindex |
| bvnumber | BV042422021 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863807321 (DE-599)BVBBV042422021 |
| 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 | 10.1007/978-3-0348-8051-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02893nmm a2200493zcb4500</leader><controlfield tag="001">BV042422021</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034880510</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-8051-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034894210</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-0348-9421-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-8051-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863807321</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422021</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">Cordani, Bruno</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Kepler Problem</subfield><subfield code="b">Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations</subfield><subfield code="c">by Bruno Cordani</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel</subfield><subfield code="b">Birkhäuser Basel</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVII, 442 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">29</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book contains a comprehensive treatment of the Kepler problem, i.e., the two body problem. It is divided into four parts. In the first part, written at an undergraduate student level, the arguments are presented in an elementary fashion, and the properties of the problem are demonstrated in a purely computational manner. In the second part a unifying point of view, original to the author, is presented which centers the exposition on the intrinsic group-geometrical aspects. This part requires more mathematical background, which the reader will find in the fourth part, in particular, the basic tools of differential geometry and analytical mechanics used in the book. The third part exploits some results of the second part to give a geometrical description of the perturbation theory of the Kepler problem. Each of the four parts, which are to some extent independent, could itself form the basis for a one-semester course. The accompanying CD contains mainly the Microsoft Windows program KEPLER developed by the author. This program calculates the effects of any perturbation of the Kepler problem and plots the resulting trajectories</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological Groups</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">Topological Groups, Lie Groups</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">Mathematische Physik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kepler-Bewegung</subfield><subfield code="0">(DE-588)4163577-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kepler-Bewegung</subfield><subfield code="0">(DE-588)4163577-2</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="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-8051-0</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:BVB01-027857438</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.BV042422021 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034880510 9783034894210 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857438 |
| oclc_num | 863807321 |
| 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 (XVII, 442 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Progress in Mathematical Physics |
| spelling | Cordani, Bruno Verfasser aut The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations by Bruno Cordani Basel Birkhäuser Basel 2003 1 Online-Ressource (XVII, 442 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematical Physics 29 This book contains a comprehensive treatment of the Kepler problem, i.e., the two body problem. It is divided into four parts. In the first part, written at an undergraduate student level, the arguments are presented in an elementary fashion, and the properties of the problem are demonstrated in a purely computational manner. In the second part a unifying point of view, original to the author, is presented which centers the exposition on the intrinsic group-geometrical aspects. This part requires more mathematical background, which the reader will find in the fourth part, in particular, the basic tools of differential geometry and analytical mechanics used in the book. The third part exploits some results of the second part to give a geometrical description of the perturbation theory of the Kepler problem. Each of the four parts, which are to some extent independent, could itself form the basis for a one-semester course. The accompanying CD contains mainly the Microsoft Windows program KEPLER developed by the author. This program calculates the effects of any perturbation of the Kepler problem and plots the resulting trajectories Physics Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Astrophysics and Astroparticles Mathematische Physik Kepler-Bewegung (DE-588)4163577-2 gnd rswk-swf Kepler-Bewegung (DE-588)4163577-2 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8051-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cordani, Bruno The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations Physics Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Astrophysics and Astroparticles Mathematische Physik Kepler-Bewegung (DE-588)4163577-2 gnd |
| subject_GND | (DE-588)4163577-2 |
| title | The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations |
| title_auth | The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations |
| title_exact_search | The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations |
| title_full | The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations by Bruno Cordani |
| title_fullStr | The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations by Bruno Cordani |
| title_full_unstemmed | The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations by Bruno Cordani |
| title_short | The Kepler Problem |
| title_sort | the kepler problem group theoretical aspects regularization and quantization with application to the study of perturbations |
| title_sub | Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations |
| topic | Physics Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Astrophysics and Astroparticles Mathematische Physik Kepler-Bewegung (DE-588)4163577-2 gnd |
| topic_facet | Physics Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Astrophysics and Astroparticles Mathematische Physik Kepler-Bewegung |
| url | https://doi.org/10.1007/978-3-0348-8051-0 |
| work_keys_str_mv | AT cordanibruno thekeplerproblemgrouptheoreticalaspectsregularizationandquantizationwithapplicationtothestudyofperturbations |