Vector and tensor analysis book pdf

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vector and tensor analysis book pdf

Vector and Tensor Analysis - CRC Press Book

Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten.
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Tensor Calculus 2: Cartesian/Polar Coordinates, and Basis Vectors

The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book is addressed primarily to engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary.

Vector & Tensor Analysis – 50 Solved Problems

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2nd Edition

Introduction to Tensors

Young, Eutiquio C. Young -- 2nd ed. ISBN alk. Vector analysis. Calculus of tensors. Y67 '.

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