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The Geometry of Celestial Mechanics

The Geometry of Celestial Mechanics (Paperback)

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Synopsis

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.

Science & MathematicsAstronomy, space & timeTheoretical & mathematical astronomyScience & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsMathematicsGeometryDifferential & Riemannian geometry Publisher: Cambridge University Press Publication Date: 24/03/2016 ISBN-13: 9781107564800  Details: Type: Paperback Format: Books
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Hansjorg 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.

More books by Hansjorg Geiges

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