000			01543 a2200217 4500
005			20181217134808.0
008			181212b xxu||||| |||| 00| 0 eng d
020			_a9781107125407
040			_cIIT Kanpur
041			_aeng
082			_a521 _bG275g
100			_aGeiges, Hansjorg
245			_aThe geometry of celestial mechanics _cHansjorg Geiges
260			_bCambridge University Press _c2016 _aCambridge
300			_axv, 223p
440			_aLondon mathematical society student texts; no.83
520			_aCelestial 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.
650			_aCelestial mechanics
650			_aKepler's law
942			_cBK
999			_c559851 _d559851