Partial differential equations

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Partial differential equations / by R. Courant

資料種別:

図書

出版情報:

New York : Wiley, c1962

形態:

xxii, 830 p. ; 24 cm

シリーズ名:

Methods of mathematical physics / by R. Courant and D. Hilbert ; v. 2 <BA02891142>

著者名:

ISBN:

9780470179857 [0470179856] (: hbk)
9780471504399 [0471504394] (: pbk)

書誌ID:

BA0392362X

子書誌情報

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他の版・巻

書誌詳細

注記:

Translated with revisions, from the 2nd German ed. 'Methoden der mathematischen Physik.' Springer, 1931
Interscience Publishers , a division of John Wiley & Sons (t.p.)

主題:

Mathematical physics

言語:

英語

目次情報:

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

Minimum-Maximum Property of Eigenvalues

Series Expansion Of Arbitrary Functions

Orthogonal Systems of Functions

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