| Partial table of contents |
| The Algebra Of Linear Transformations And Quadratic Forms |
| Transformation to Principal Axes of Quadratic and Hermitian Forms |
| Minimum-Maximum Property of Eigenvalues |
| Series Expansion Of Arbitrary Functions |
| Orthogonal Systems of Functions |
| Measure of Independence and Dimension Number |
| Fourier Series |
| Legendre Polynomials |
| Linear Integral Equations |
| The Expansion Theorem and Its Applications |
| Neumann Series and the Reciprocal Kernel |
| The Fredholm Formulas |
| The Calculus Of Variations |
| Direct Solutions |
| The Euler Equations |
| Vibration And Eigenvalue Problems |
| Systems of a Finite Number of Degrees of Freedom |
| The Vibrating String |
| The Vibrating Membrane |
| Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations |
| Application Of The Calculus Of Variations To Eigenvalue Problems |
| Completeness and Expansion Theorems |
| Nodes of Eigenfunctions |
| Special Functions Defined By Eigenvalue Problems |
| Bessel Functions |
| Asymptotic Expansions |
| Additional Bibliography |
| Index |
| Partial table of contents |
| The Algebra Of Linear Transformations And Quadratic Forms |
| Transformation to Principal Axes of Quadratic and Hermitian Forms |
図書
