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 |