The Geometry of Celestial Mechanics
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Numar articol:187843384
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Preț:689,00 Lei
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Specificatii
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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