The Geometry of Celestial Mechanics
eBook - PDF

The Geometry of Celestial Mechanics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The Geometry of Celestial Mechanics

About this book

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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Yes, you can access The Geometry of Celestial Mechanics by Hansjörg Geiges in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2016
Print ISBN
9781107125407
eBook ISBN
9781316547564
Topic
Mathematics
Subtopic
Topology
Index
Mathematics

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Dedication
  6. Talbe of contents
  7. Preface
  8. 1 The central force problem
  9. 2 Conic sections
  10. 3 The Kepler problem
  11. 4 The dynamics of the Kepler problem
  12. 5 The two-body problem
  13. 6 The n-body problem
  14. 7 The three-body problem
  15. 8 The differential geometry of the Kepler problem
  16. 9 Hamiltonian mechanics
  17. 10 The topology of the Kepler problem
  18. References
  19. Index