Elementary Matrices

This book develops the subject of matrices with special reference to differential equations and classical mechanics.

Frazer (Author)

9780521091558, Cambridge University Press

Paperback / softback, published 2 January 1938

436 pages
21.6 x 14 x 2.5 cm, 0.55 kg

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.

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 Aerofoil

Subject Areas: Mathematical foundations [PBC]