01710 a2200229 450000500170000000800410001702000180005804000150007604100080009108200150009910000220011424500580013626000480019430000130024244000530025552009500030865000240125865000170128294200070129999900190130695201550132520181217134808.0181212b xxu||||| |||| 00| 0 eng d a9781107125407 cIIT Kanpur aeng a521bG275g aGeiges, Hansjorg aThe geometry of celestial mechanics cHansjorg Geiges bCambridge University Pressc2016aCambridge axv, 223p aLondon mathematical society student texts; no.83 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. aCelestial mechanics aKepler's law cBK c559851d559851 0010406521_000000000000000_G275G708GEN9897032aIITKbIITKd2018-12-11e2g4987.77l1m13o521 G275gpA184054r2023-05-04s2022-11-19v6234.71yBK