The Geometry of Celestial Mechanics (London Mathematical Society Student Texts, Series Number 83) 1st Edition by Hansjörg Geiges (PDF)

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.

User’s Reviews

Editorial Reviews: Review ‘The Geometry of Celestial Mechanics offers a fresh look at one of the most celebrated topics of mathematics … I would gladly recommend this book …’ Anil Venkatesh, Mathematical Association of America Reviews’Because much of the geometric theory, the many historical notes, and the exercises in the book are not found in other contemporary books on celestial mechanics, the book makes a great addition to the library of anyone with an interest in celestial mechanics.’ Lennard Bakker, Zentralblatt MATH’The book fulfills the authors quest, as stated in the preface, ‘for students to experience differential geometry and topology ‘in action’ (in the historical context of celestial mechanics) rather than as abstractions in traditional courses on the two subjects.’ Lennard F. Bakker, Mathematical Reviews Book Description A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject. About the Author Hansjörg Geiges is Professor of Mathematics at the University of Cologne. He has received several teaching awards, and an EMS prize for mathematical exposition. His book An Introduction to Contact Topology (Cambridge, 2008), has become a highly cited standard reference for the field. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐There is a quick, authoritative and well documented answer to almost any question of the mathematically inclined student in the field.

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