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Functional and Structured Tensor / e-book /

Tym razem e-book, znaleziony w sieci (do prywatnego, niekomercyjnego użytku). Jest to robocza wersja książki wydanej drukiem(?).

Tytuł: R. M. Brannon, Functional and Structured Tensor Analysis for Engineers
Podtytuł: A casual (intuition-based) introduction to vector and tensor analysis with reviews of popular notations used in contemporary materials modeling
Wariant tytułu: Functional and Structured Tensor

Link: mech.utah.edu/~brannon/public/Tensors.pdf
[PDF na stronie autorki]

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Info: 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 (such as „orthogonal”, „diagonalizable”, etc.), dyads and outer products, axial vectors, axial tensors, scalar invariants and spectral analysis (eigenvalues/eigenvectors), geometry (e.g., the equations for planes, ellipsoids, etc.), material symmetry such as transverse isotropy, polar decomposition, and vector/tensor calculus theorems such as the divergence theorem and Stokes theorem. (A draft of this document was last released publically on Aug. 3, 2003. The non-public version is significantly expanded in anticipation of formal publication.)

Źródło informacji: mech.utah.edu/~brannon/gobag.html

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