Classical Mechanics Theory and Mathematical Modeling [Hardcover]

* Offers a rigorous mathematical treatment of mechanics as a text or reference

* Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles

* Employs mathematics not only as a unifying language, but also to exemplify its role as a catalyst behind new concepts and discoveries

Following Lagrangrian principles, this book employs mathematics not only as a unifying language, but also to exemplify its role as a catalyst in such new concepts and discoveries as the d'Alembert principle, complex systems dynamics, and Hamiltonian mechanics.

Classical mechanics is one of those special occurrences in science where interdisciplinary contributions have come together in a perfect blend, providing a most elegant and penetrating example of modeling in science. Following Lagrangrian principles, the author employs mathematics not only as a unifying language, but also to exemplify its role as a catalyst behind new concepts and discoveries, such as the d'Alembert principle, complex systems dynamics, and Hamiltonian mechanics. Today, these same dynamics are now being focused to address other interdisciplinary areas of research in fields such as biology and chemistry.

Key topics and features:

* Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles

* Analytical mechanics, such as Lagrange's equations, are explicitly derived, placing them on sound mathematical and physical ground

* Attention to the topic of small oscillations and stability , intended to serve as groundwork to the atomic theory of vibralÓ+