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Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics by Aristotle D. Michal ISBN: 0486462463 Dover Publications Price: $10.95 click here to see this book This volume offers a working knowledge of the fundamentals of matrix and tensor calculus that can be applied to a variety of fields, particularly scientific aeronautical engineering. Mathematicians, physicists, and meteorologists as well as engineers will benefit from its skillful combination of mathematical statements and immediate practical applications. 1947 edition. Reprint of the John Wiley & Sons, Inc., New York, 1947 edition. Table of Contents for Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics Part I. Matrix Calculus and its Applications 1.-2. Algebraic Preliminaries 3.-4. Differential and Integral Calculus of Matrices 5.-6. Matrix Methods in Problems of Small Oscillations 7. Matrix Methods in the Mathematical Theory of Aircraft Flutter 8. Matrix Methods in Elastic Deformation Theory Part II. Tensor Calculus and its Applications 9. Space Line Element in Curvilinear Coordinates 10. Vector Fields, Tensor Fields, and Euclidean Christoffel Symbols 11. Tensor Analysis 12. Laplace Equation, Wave Equation, and Poisson Equation in Curvilinear Coordinates 13. Some Elementary Applications of the Tensor Calculus to Hydrodynamics 14. Applications of the Tensor Calculus to Elasticity Theory 15. Homogeneous and Isotropic Strains, Strain Invariants, and Variation of Strain Tensor 16. Stress Tensor, Elastic Potential, and Stress-Strain Relations 17. Tensor Calculus in Riemannian Spaces and the Fundamentals of Classical Mechanics 18. Applications of the Tensor Calculus to Boundary-Layer Theory Notes on Part I Notes on Part II References for Part I References for Part II Index

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