Lagrangian

The purpose of this book is to provide a presentation of the geometrical theory of Lagrange and Hamilton spaces of order k, greater or equal to 1, as well as to define and investigate some new Analytical Mechanics. It is shown that a rigorous geometrical theory of conservative and non-conservative mechanical systems can be raised based on the Lagrangian and Hamiltonian geometries.

This volume provides a short summary of the essentials of Lagrangian dynamics for practicing engineers and students of physics and engineering. It examines a range of phenomena and techniques in a style that is compact and succinct, while remaining comprehensive.

This engineering dynamics textbook is aimed at beginning graduate students in mechanical engineering and other related engineering disciplines who need training in dynamics as applied to engineering mechanisms. It introduces the formal mathematical development of Lagrangian mechanics (and its corollaries), while solving numerous engineering applications. The author’s goal is to instill an understanding of the basic physics required for engineering dynamics, while providing a recipe (algorithm) for the simulation of engineering mechanisms such as robots.