Tensor Algebra and Tensor Analysis for Engineers

2. Vectors and Tensors in a Finite-Dimensional Space
Mikhail Itskov

3. Vector and Tensor Analysis in Euclidean Space
Mikhail Itskov

4. Curves and Surfaces in Three-Dimensional Euclidean Space
Mikhail Itskov

5. Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors
Mikhail Itskov

6. Fourth-Order Tensors
Mikhail Itskov

7. Analysis of Tensor Functions
Mikhail Itskov

8. Analytic Tensor Functions
Mikhail Itskov

9. Applications to Continuum Mechanics
Mikhail Itskov

Keywords: Engineering, Mechanics, Linear and Multilinear Algebras, Matrix Theory, Mathematical Methods in Physics, Continuum Mechanics and Mechanics of Materials, Computational Intelligence