Vectors and tensors in engineering and physics - D. A Danielson

The second edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition. } Vectors and Tensors in Engineering and Physics , Second Edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition.;The book provides equations for predicting:the rotations of gyroscopes and other axisymmetric solids, derived from Eulers equations for the motion of rigid bodiesthe temperature decays in quenched forgings, derived from the heat equationthe deformed shapes of twiste d rods and bent beams, derived from the Navier equations of elasticitythe flow fields in cylindrical pipes, derived from the Navier-Stokes equations of fluid mechanicsthe trajectories of celestial objects, derived from both Newtons and Einsteins theories of gravitationthe electromagnetic fields of stationary and moving charged particles, derived from Maxwells equationsthe stress in the skin when it is stretched, derived from the mechanics of curved membranesthe effects of motion and gravitation upon the times of clocks, derived from the special and general theories of relativity[The book] also featur[es]:over 100 illustrationscomplete solutions to over 400 examples and problemscartesian components, general components, and components-free notationslists of notations used by other authorsboxes to highlight key equationshistorical notes and an extensive bibliography }