includes index

1. Infinite series
2. Complex numbers
3. Mathematical representation of periodic phenomena, fourier series and the fourier integral
4. Linear algebraic equations, determinants and matrices
5. The solution of transcendental and polynomial equations
6. Linear differential equations with constant coefficients
7. Laplace transforms of use in the solution of differential equations
8. Oscillations of linear lumped electrical circuits
9. Vibrations of elastic systems with a finite number of degrees of freedom
10. The differential equations of the theory of structures
11. The calculus of finite differences and linear difference equations constant coefficients
12. Partial differentiation
13. The gamma, beta and error functions
14. Bessel functions
15. Legendre’s differential equation and legendre polynomials
16. Vector analysis
17. The wave equation
18. Simple solutions of laplace’s differential equation
19. The equation heat conduction or diffusion
20. The elements of the theory of the complex variable
21. The solution of two dimensional potential problems by the method of conjugate functions
22. Operational and transform methods
23. The analysis of nonlinear oscillatory systems