TENSORS FOR SCIENTISTS IBD

Sinopse

This textbook provides a compact introduction to tensors, which areáphysical or geometric entities that generalize vectors.áTensors are fundamental in engineering and physics, as they form theáframework for formulating and solving problems across various disciplines.áThese include mechanics (inertia tensor, stress tensor, elasticity tensor), electrodynamics (electrical conductivity and resistivity tensors, electromagnetic tensor, magnetic susceptibility tensor), and general relativity (stress-energy tensor, curvature tensor). As such, tensors are integral to most engineering and physics curricula.The material is presented with a rigorous mathematical foundation while emphasizing practical applications. The numerous exercises, accompanied by detailed solutions, further enhance the bookâÇÖs pedagogical purpose and facilitate self-learning. The book can be used for undergraduate and graduate courses in material science, engineering, and physics, providing a versatile resource for both teaching and studying.