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Matrix and tensor calculus With applications to mechanics elasticity and aeronautics 1st Edition by Aristotle D Michal ISBN 0486462463 978-0486462462

  • SKU: BELL-2046002
Matrix and tensor calculus With applications to mechanics elasticity and aeronautics 1st Edition by Aristotle D Michal ISBN 0486462463 978-0486462462
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Matrix and tensor calculus With applications to mechanics elasticity and aeronautics 1st Edition by Aristotle D Michal ISBN 0486462463 978-0486462462 instant download after payment.

Publisher: Dover
File Extension: DJVU
File size: 3.15 MB
Pages: 142
Author: Michal A.
ISBN: 9780486462462, 0486462463
Language: English
Year: 2008

Product desciption

Matrix and tensor calculus With applications to mechanics elasticity and aeronautics 1st Edition by Aristotle D Michal ISBN 0486462463 978-0486462462 by Michal A. 9780486462462, 0486462463 instant download after payment.

Matrix and tensor calculus: With applications to mechanics, elasticity and aeronautics 1st Edition by Aristotle D. Michal - Ebook PDF Instant Download/Delivery: 0486462463, 978-0486462462

Full download Matrix and tensor calculus: With applications to mechanics, elasticity and aeronautics 1st Edition after payment

 

Product details:

ISBN 10: 0486462463 

ISBN 13: 978-0486462462

Author: Aristotle D. Michal 

This volume offers a working knowledge of the fundamentals of matrix and tensor calculus that can be applied to a variety of fields. Relevant to mathematicians, physicists, meteorologists, and electrical engineers, its contents are of particular value to mechanical and aeronautical engineers, who will find information on vibrations, aircraft flutter, elasticity, hydrodynamics, and fluid mechanics.
Each section of the two-part treatment is self-contained. The first part concerns matrix calculus and its applications; the second, tensor calculus and its applications. Both sections feature an introduction with a concise presentation of mathematical concepts, and more advanced mathematical ideas are developed within the context of applications. Students and professionals alike will appreciate this book's skillful combination of clear, precise mathematical statements and immediate practical applications.

Table of contents:

  1. Algebraic Preliminaries

  2. Algebraic Preliminaries (Continued)

  3. Differential and Integral Calculus of Matrices

  4. Differential and Integral Calculus of Matrices (Continued)

  5. Matrix Methods in Problems of Small Oscillations

  6. Matrix Methods in Problems of Small Oscillations (Continued)

  7. Matrix Methods in the Mathematical Theory of Aircraft Flutter

  8. Matrix Methods in Elastic Deformation Theory

  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

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Tags: Aristotle D Michal, Matrix, Tensor, Calculus, Mechanics, Elasticity, Aeronautics

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