The Geometry of Celestial Mechanics, 9781107564800
Paperback
A geometric introduction to celestial mechanics, for advanced undergraduate and beginning graduate students. This textbook introduces the geometric concepts underlying celestial mechanics and their applications, making it suitable for traditional geometry courses or as supplementary material. Numero…

The Geometry of Celestial Mechanics

$110.17

  • Paperback

    236 pages

  • Release Date

    24 March 2016

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Summary

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 beg…

Book Details

ISBN-13:9781107564800
ISBN-10:1107564808
Author:Hansjörg Geiges
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:236
Release Date:24 March 2016
Weight:350g
Dimensions:231mm x 153mm x 14mm
Series:London Mathematical Society Student Texts
What They're Saying

Critics Review

‘The Geometry of Celestial Mechanics offers a fresh look at one of the most celebrated topics of mathematics … I would gladly recommend this book …’ Anil Venkatesh, Mathematical Association of America Reviews‘Because much of the geometric theory, the many historical notes, and the exercises in the book are not found in other contemporary books on celestial mechanics, the book makes a great addition to the library of anyone with an interest in celestial mechanics.’ Lennard Bakker, Zentralblatt MATH‘The book fulfills the authors quest, as stated in the preface, ‘for students to experience differential geometry and topology ‘in action’ (in the historical context of celestial mechanics) rather than as abstractions in traditional courses on the two subjects.’ Lennard F. Bakker, Mathematical Reviews

About The Author

Hansjörg Geiges

Hansjörg Geiges is Professor of Mathematics at the University of Cologne. He has received several teaching awards, and an EMS prize for mathematical exposition. His book An Introduction to Contact Topology (Cambridge, 2008), has become a highly cited standard reference for the field.

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