THE PHYSICAL TENSOR AND APPLICATION.
Final scientific rept. 1 Feb 68-30 Sep 69,
TECHNION - ISRAEL INST OF TECH HAIFA DEPT OF MECHANICS
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The fundamentals of the physical tensor and its analysis in the n-dimensional vector space V sub n are set up. The n-coordinate networks, the local and dual n-systems, the n-space derivative, the first and second curvature tensors in Vn and the space derivatives of field tensors of arbitrary order with respect to the n-curvilinear-oblique coordinate networks, are discussed and presented in both the magnitude and the absolute notations. As application, the generalization of the equation of the general balance to the four-dimensional vector space V sub 4 yields the non-conservative, special-relativistic theory of continuum electromechanics. Author
- Theoretical Mathematics
- Electricity and Magnetism