Intermediate Dynamics

This book offers a complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms. Emphasizing classical Newtonian treatment (favored by Engineers) of rigid bodies, the text also employs a more modern reliance on Linear Algebra to get inertia matrix and deal with machines. This approach allows uniform treatment of both single bodies in arbitrary axes, and "machines". Analytical dynamicsboth Lagrangian and Hamiltonian formulationsare developed to admit non-conservative forces. Throughout, the importance of integrals is emphasized.

Complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms Emphasis on more classical Newtonian treatment (favored by Engineers) of rigid bodies, and more modern in greater reliance on Linear Algebra to get inertia matrix and deal with machines Develops Analytical Dynamics to allow the introduction of friction Includes supplementary material: sn.pub/extras

Contenu
Linear Algebra.- Prologue.- Vector Spaces.- Linear Transformations on Vector Spaces.- Special CaseSquare Matrices.- Epilogue.- 3-D Rigid Body Dynamics.- Prologue.- Kinematics.- Kinetics.- Epilogue.- Analytical Dynamics.- Prologue.- Analytical Dynamics: Perspective.- Lagrangian Dynamics: Kinematics.- Lagrangian Dynamics: Kinetics.- Integrals of Motion.- Hamiltonian Dynamics.- Epilogue.