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Methods of Mathematical Physics, Vol. 1

Methods of Mathematical Physics, Vol. 1 0.0分

资源最后更新于 2020-09-21 15:58:59

作者:R. Courant

出版社:Wiley-Interscience

出版日期:1989-01

ISBN:9780471504474

文件格式: pdf

标签: 数学 数学物理 物理 Physics PDE math 希尔伯特 Courant

简介· · · · · ·

这套书其实是非常棒的,虽然年代老了,但内容没有老。里面讲variation那章比其他很多数学家写得好(对于像我一样是物理学专业的人而言)

Hilbert是个强人!

想要: 点击会收藏到你的 我的收藏,可以在这里查看

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Tips: 注册一个用户 可以通过用户中心得到电子书更新的通知哦

目录

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.