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Tensor Analysis is a comprehensive textbook covering the fundamental concepts and applications of tensor calculus. The book begins with Cartesian tensor analysis, including scalars, vectors, tensors, index notation, permutation symbols, transformations, second-order tensors, and principal axes.
It further introduces rectilinear and curvilinear coordinate systems, reciprocal bases, general tensors, metric tensors, tensor algebra, and physical components of vectors. The book also provides detailed treatment of Christoffel symbols, covariant derivatives, gradient, divergence, curl, Laplacian, and intrinsic derivatives, supported by solved examples and exercises.
The final section focuses on the application of tensors in fluid dynamics, including the equation of continuity, fluid-particle acceleration, covariant derivatives of velocity, and Cauchy’s equation of motion.
Ideal for: Students and learners of Mathematics, Physics, Engineering, and related disciplines seeking a structured understanding of tensor analysis and its applications.
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