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Methods of Mathematical Physics, Volume 1

R. Courant and D. Hilbert
Publisher: 
John Wiley
Publication Date: 
1991
Number of Pages: 
560
Format: 
Paperback
Price: 
130.00
ISBN: 
978-0471504474
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

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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.

Dummy View - NOT TO BE DELETED