The geometry of celestial mechanics:
Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornuc...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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Schriftenreihe: | London Mathematical Society student texts
83 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
Zusammenfassung: | Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics |
Beschreibung: | 1 Online-Ressource (xv, 223 Seiten) |
ISBN: | 9781316410486 |
DOI: | 10.1017/CBO9781316410486 |
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Datensatz im Suchindex
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any_adam_object | |
author | Geiges, Hansjörg 1966- |
author_GND | (DE-588)109567109X |
author_facet | Geiges, Hansjörg 1966- |
author_role | aut |
author_sort | Geiges, Hansjörg 1966- |
author_variant | h g hg |
building | Verbundindex |
bvnumber | BV043940248 |
classification_rvk | US 1200 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9781316410486 (OCoLC)951541261 (DE-599)BVBBV043940248 |
dewey-full | 521 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 521 - Celestial mechanics |
dewey-raw | 521 |
dewey-search | 521 |
dewey-sort | 3521 |
dewey-tens | 520 - Astronomy and allied sciences |
discipline | Physik |
doi_str_mv | 10.1017/CBO9781316410486 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:13Z |
institution | BVB |
isbn | 9781316410486 |
language | English |
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spelling | Geiges, Hansjörg 1966- Verfasser (DE-588)109567109X aut The geometry of celestial mechanics Hansjörg Geiges, University of Cologne Cambridge Cambridge University Press 2016 1 Online-Ressource (xv, 223 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 83 Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics Celestial mechanics Kepler's laws Geometrie (DE-588)4020236-7 gnd rswk-swf Himmelsmechanik (DE-588)4127484-2 gnd rswk-swf Kepler-Bewegung (DE-588)4163577-2 gnd rswk-swf Geometrie (DE-588)4020236-7 s Himmelsmechanik (DE-588)4127484-2 s Kepler-Bewegung (DE-588)4163577-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-107-12540-7 Erscheint auch als Druck-Ausgabe 978-1-107-56480-0 https://doi.org/10.1017/CBO9781316410486 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Geiges, Hansjörg 1966- The geometry of celestial mechanics Celestial mechanics Kepler's laws Geometrie (DE-588)4020236-7 gnd Himmelsmechanik (DE-588)4127484-2 gnd Kepler-Bewegung (DE-588)4163577-2 gnd |
subject_GND | (DE-588)4020236-7 (DE-588)4127484-2 (DE-588)4163577-2 |
title | The geometry of celestial mechanics |
title_auth | The geometry of celestial mechanics |
title_exact_search | The geometry of celestial mechanics |
title_full | The geometry of celestial mechanics Hansjörg Geiges, University of Cologne |
title_fullStr | The geometry of celestial mechanics Hansjörg Geiges, University of Cologne |
title_full_unstemmed | The geometry of celestial mechanics Hansjörg Geiges, University of Cologne |
title_short | The geometry of celestial mechanics |
title_sort | the geometry of celestial mechanics |
topic | Celestial mechanics Kepler's laws Geometrie (DE-588)4020236-7 gnd Himmelsmechanik (DE-588)4127484-2 gnd Kepler-Bewegung (DE-588)4163577-2 gnd |
topic_facet | Celestial mechanics Kepler's laws Geometrie Himmelsmechanik Kepler-Bewegung |
url | https://doi.org/10.1017/CBO9781316410486 |
work_keys_str_mv | AT geigeshansjorg thegeometryofcelestialmechanics |