Ebook: Mathematical aspects of classical and celestial mechanics

1 Basic Principles of Classical Mechanics * 2 The n-Body Problem * 3 Symmetry Groups and Order Reduction * 4 Variational Principles and Methods * 5 Integrable Systems and Integration Methods * 6 Perturbation Theory for Integrable Systems * 7 Non-Integrable Systems * 8 Theory of Small Oscillations * 9 Tensor Invariants of Equations of Dynamics * References.;Describes the fundamental principles, problems, and methods of classical mechanics. This book devotes its attention to the mathematical side of the subject. It aims to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects.