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Methods of Mathematical Physics V 1 : Wiley Classics Library - Richard Courant

Methods of Mathematical Physics V 1

Wiley Classics Library

Paperback

Published: 8th January 1991
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Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.

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.

ISBN: 9780471504474
ISBN-10: 0471504475
Series: Wiley Classics Library : Book 1
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 575
Published: 8th January 1991
Publisher: John Wiley & Sons Inc
Country of Publication: DE
Dimensions (cm): 23.15 x 15.4  x 2.92
Edition Number: 1