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 |