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Functional and Structured Tensor Analysis for Engineers
Functional and Structured Tensor Analysis for Engineers
Date: 10 November 2010, 04:48

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A step-by-step introduction to tensor analysis that assumes you know nothing but basic calculus. Considerable emphasis is placed on a notation style that works well for applications in materials modeling, but other notation styles are also reviewed to help you better decipher the literature. Topics include: matrix and vector analysis, properties of tensors, dyads and outer products, axial vectors, axial tensors, scalar invariants and spectral analysis, geometry, material symmetry such as transverse isotropy, polar decomposition, and vector/tensor calculus theorems such as the divergence theorem and Stokes theorem.
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