The Geometry of Celestial Mechanics

Hansjörg Geiges (Universität zu Köln)

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English

Cambridge University Press
24 March 2016

Differential calculus & equations; Differential & Riemannian geometry; Theoretical & mathematical astronomy

Series: London Mathematical Society Student Texts

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.

By: Hansjörg Geiges (Universität zu Köln)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 83
Dimensions: Height: 229mm, Width: 152mm, Spine: 14mm
Weight: 490g
ISBN: 9781107125407
ISBN 10: 1107125405
Series: London Mathematical Society Student Texts
Pages: 240
Publication Date: 24 March 2016
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for The Geometry of Celestial Mechanics

'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