Matrix and tensor calculus: With applications to mechanics, elasticity and aeronautics

Matrix and Tensor Calculus [Aristotle D. Michal]......Page 0001.djvu
Back Cover......Page 0002.djvu
Title......Page 0003.djvu
Copyright......Page 0004.djvu
Dedication......Page 0005.djvu
Editor\'s Preface......Page 0006.djvu
Preface......Page 0007.djvu
Contents......Page 0009.djvu
1. Algebraic Preliminaries......Page 0012.djvu
2. Algebraic Preliminaries (continued)......Page 0019.djvu
3. Differential and Integral Calculus of Matrices......Page 0026.djvu
4. Differential and Integral Calculus of Matrices (continued)......Page 0031.djvu
5. Matrix Methods in Problems of Small Oscillations......Page 0035.djvu
6. Matrix Methods in Problems of Small Oscillations (continued)......Page 0039.djvu
7. Matrix Methods in the Mathematical Theory of Aircraft Flutter......Page 0043.djvu
8. Matrix Methods in Elastic Deformation Theory......Page 0049.djvu
9. Space Line Element in Curvilinear Coordinates......Page 0053.djvu
10. Vector Fields, Tensor Fields, and Euclidean Christoffel Symbols......Page 0059.djvu
11. Tensor Analysis......Page 0067.djvu
12. Laplace Equation, Wave Equation, and Poisson Equation in Curvilinear Coordinates......Page 0071.djvu
13. Some Elementary Applications of the Tensor Calculus to Hydrodynamics......Page 0080.djvu
14. Applications of the Tensor Calculus to Elasticity Theory......Page 0086.djvu
15. Homogeneous and Isotropic Strains, Strain Invariants, and Variation of Strain Tensor......Page 0093.djvu
16. Stress Tensor, Elastic Potential, and Stress-Strain Relations......Page 0100.djvu
17. Tensor Calculus in Riemannian Spaces and the Fundamentals of Classical Mechanics......Page 0106.djvu
18. Applications of the Tensor Calculus to Boundary-Layer Theory......Page 0114.djvu
Notes on Part I......Page 0122.djvu
Notes on Part II......Page 0125.djvu
References for Part I......Page 0135.djvu
References for Part II......Page 0136.djvu
Index......Page 0139.djvu