Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems

Introduction Review of matrices and quadratic forms Oscillatory matrices Small oscillations of mechanical systems with $n$ degrees of freedom Small oscillations of mechanical systems with an infinite number of degrees of freedom Sign-definite matrices A method of approximate calculation of eigenvalues and eigenvectors of an oscillatory matrix On a remarkable problem for a string with beads and continued fractions of Stieltjes Remarks References Index.