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Methods of Mathematical Physics. Vol.1
Taschenbuch von R. Courant (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1989
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 560
Inhalt: XV
560 S.
27 s/w Illustr.
27 Illustr.
ISBN-13: 9780471504474
ISBN-10: 0471504475
Sprache: Englisch
Herstellernummer: 14650447000
Autor: Courant, R.
Hilbert, D.
Auflage: 1. Auflage
Hersteller: Wiley-VCH
Wiley & Sons
Abbildungen: 27 SW-Abb.
Maße: 240 x 170 x 30 mm
Von/Mit: R. Courant (u. a.)
Erscheinungsdatum: 19.04.1989
Gewicht: 0,99 kg
preigu-id: 111782513
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1989
Fachbereich: Astronomie
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 560
Inhalt: XV
560 S.
27 s/w Illustr.
27 Illustr.
ISBN-13: 9780471504474
ISBN-10: 0471504475
Sprache: Englisch
Herstellernummer: 14650447000
Autor: Courant, R.
Hilbert, D.
Auflage: 1. Auflage
Hersteller: Wiley-VCH
Wiley & Sons
Abbildungen: 27 SW-Abb.
Maße: 240 x 170 x 30 mm
Von/Mit: R. Courant (u. a.)
Erscheinungsdatum: 19.04.1989
Gewicht: 0,99 kg
preigu-id: 111782513
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