The Geometry of Celestial Mechanics
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"The Geometry of Celestial Mechanics" by Hansjörg Geiges is a mathematics book and learning resource focused on Celestial Motion. Best for teachers, students, and readers looking for stronger mathematical understanding.
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.
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"The Geometry of Celestial Mechanics" by Hansjörg Geiges is a mathematics book and learning resource focused on Celestial Motion. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Celestial Motion
Author: Hansjörg Geiges
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | Hansjörg Geiges |
| Publisher | Cambridge University Press |
| Published | 2016-03-24 |
| ISBN-13 | 9781107564800 |
| Binding | Paperback |
| Language | English |
| Subjects | Mathematics |
| Topic | Celestial Motion |
| Series | London Mathematical Society Student Texts |
Format: Paperback
Language: English
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