CERN Accelerating science

Title The geometry of celestial mechanics
Book cover
Author(s) Geiges, Hansjörg
Publication Cambridge : Cambridge University Press, 2016. - 223 p.
Series (London mathematical society student texts ; 83)
Subject code 521.1
Subject category Astrophysics and Astronomy
Abstract 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.
ISBN 9781107564800 (This book at Amazon) (print version, paperback)
1107564808 (This book at Amazon) (print version, paperback)

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 Record created 2016-04-07, last modified 2016-04-19