Elementary Matrices

Elementary Matrices

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Description

This book develops the subject of matrices with special reference to differential equations and classical mechanics. It is intended to bring to the student of applied mathematics, with no previous knowledge of matrices, an appreciation of their conciseness, power and convenience in computation. Worked numerical examples, many of which are taken from aerodynamics, are included.show more

Product details

  • Electronic book text
  • CAMBRIDGE UNIVERSITY PRESS
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • 1139241494
  • 9781139241496

Table of contents

1. Fudamental Definitions and Elementary Properties; 2. Powers of Matrices, Series, and Infintesimal Calculus; 3. Lambda-Matrices and Canonical Forms; 4. Miscellaneous Numerical Methods; 5. Linear Ordinary Differential Equations with Constant Coefficients; 6. Linear Ordinary Differential Equations with Constant Coefficeints (continued); 7.Numerical Solutions of Linear Ordinary Differential Equations with Variable Coefficients; 8. Kinematics and Dynamics of Systems; 9. Systems with Linear Dynamical Equations; 10. Iterative Numerical Solutions of Linear Dynamical Problems; 11. Dynamical Systems with Solid Friction; 12. Illustrative Applications of Friction Theory to Flutter Problems; 13. Pitching Oscillations of a Fractionally Constrained Aerofoilshow more