ENGLISH

The Geometry of Celestial Mechanics

By Hansjörg Geiges

Book information

Publisher
Cambridge University Press
Year
2016
ISBN
9781107125407, 1107125405, 9781107564800, 1107564808
DOI
10.1007/b104035
Language
english
Format
PDF
Filesize
1 MB (1094084 bytes)
Series
London Mathematical Society Student Texts 83
Pages
223\239
Time added
2016-04-26 11:57:01
Celestial mechanics;Kepler’s laws

Description

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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