# Methods of Mathematical Physics, Volume 1

Publisher:
John Wiley
Number of Pages:
560
Price:
130.00
ISBN:
978-0471504474
Friday, June 15, 2007
Reviewable:
Yes
Include In BLL Rating:
Yes
R. Courant and D. Hilbert
Publication Date:
1991
Format:
Paperback
Category:
Monograph
BLL Committee
01/16/2009
BLL Rating:

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.