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Review title: Terrific book!
Product review: This book combines the standard topics covered in a Goldstein-type course; but in a fresh light. Using techniques of modern geometry, presented in an understandable way, it explores not just the solutions of dynamical equations, but the behavior of those solutions over the manifold in which they operate. The book begins by applying this geometry to well established Newtonian mechanics. Once you have that under your belt you are propelled into the Lagrangian formulation in a way that seems quite natural and reveals, easily, the symmetries that lay within. This book is written in a tight and readable style that makes even the most difficult concepts accessable. I highly recommend it and hope that it becomes the standard by which other mechanics texts of this level are measured.
