Introduction to Mathematical Methods in Physics |
Contents
FIRSTORDER DIFFERENTIAL EQUATIONS | 64 |
SECONDORDER DIFFERENTIAL EQUATIONS | 120 |
WAVES AND FOURIER ANALYSIS | 206 |
Copyright | |
7 other sections not shown
Common terms and phrases
a₁ analytic apply approximation boundary conditions C₁ calculate called Cauchy residue theorem Chapter coefficients constant contour convergence coordinate system cos(wt data points defined density determine differential equation distribution function divergence divergence theorem eigenvalues eigenvectors equation 53 error evaluate exact first-order fluid force Fourier series frequency given gosub inhomogeneous initial conditions input integral interval inverse Laplace transform Laplace's equation linear mass matrix method orthogonal particular solution periodic function plot polynomial potential energy power series result rotation Runge-Kutta method scalar second-order Section separation of variables shown in Figure side of equation simple harmonic oscillator Simpson's rule sin(wt solve Step string subinterval subroutine Substitution into equation Suppose Taylor series theorem tion variable velocity wave equation y₁ Yi+1 yields zero ΧΟ ду дх