偏微分方程（第2卷）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 电子书 下载 2024

偏微分方程（第2卷）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 电子书 下载 2024

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偏微分方程（第2卷）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 电子书 下载 2024

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内容简介

　　This work is intended to provide a course of study of some of the major aspects of PDE. It is addressed to readers with a background in the basic introductory graduate mathematics courses in American universities: elementary real and complex analysis， differential geometry， and measure theory.

内页插图

目录

Contents of Volumes I and III
Preface
7 Pseudo differential Operators
1 The Fourier integral representation and symbol classes
2 Schwartz kernels of pseudo differential operators
3 Adjoints and products
4 Elliptic operators and parametrices
5 L2 estimates
6 Garding's inequality
7 Hyperbolic evolution equations.
8 Egorov's theorem
9 Microlocal regularity
10 Operators on manifolds
11 The method of layer potentials
12 Parametrix for regular elliptic boundary problems
13 Parametrix for the heat equation
14 The Wey l calculus
15 Operators of harmonic oscillator type
Reference

8 Spectral Theory
1 The spectral theorem
2 Self-adjoint differential operators
3 Heat asymptotics and eigenvalue asymptotics
4 The Laplace operator on Sn
5 The Laplace operator on hyperbolic space
6 The harmonic oscillator
7 The quantum Coulomb problem
8 The Laplace operator on cones
References

9 Scattering by Obstacles
1 The scattering problem
2 Eigenfunction expansions
3 The scattering operator
4 Connections with the wave equatio
5 Wave operators
6 Translation representations and the Lax-Phillips semigroup Z（ t）
7 Integral equations and scattering poles
8 Trace formulas; the scattering phase
9 Scattering by a sphere
10 Inverse problems l
11 Inverse problems II
12 Scattering by rough obstacles
A Lidskii's trace theorem
References

10 Dirac Operators and Index Theory
1 Operators of Dirac type
2 Clifford algebras
3 Spinors
4 Weitzenbock formulas
5 Index of Dirac operators
6 Proof of the local index formula
7 The Chern-Gauss-Bonnet theorem
8 Spinc manifolds
9 The Riemann-Roch theorem
10 Direct attack in 2-D
11 Index of operators of harmonic oscillator type
References

11 Brownian Motion and Potential Theory
1 Brownian motion and Wiener measure
2 The Feynman-Kac formula
3 The Dirichlet problem and diffusion on domains with boundary
4 Martingales, stopping times, and the strong Markov property
5 First exit time and the Poisson integral
6 Newtonian capacity
7 Stochastic integrals
8 Stochastic integrals, II
9 Stochastic differential equations
10 Application to equations of diffusio
A The Trotter product formula
References
……

前言/序言

偏微分方程（第2卷）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 电子书 下载 2024

偏微分方程（第2卷）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit 下载 epub mobi pdf txt 电子书 2024

评分☆☆☆☆☆

偏微分经典，收藏慢慢看。。

评分☆☆☆☆☆

一起买了一套，准备新年之后慢慢读，争取有所收获

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　　——《德周数学评论》对方源、王元Calculus-书的评论（评论号：Zb1 0939.26001） 乾隆时代武英殿本“二十四史”在当时是标准本，但是武英殿本仍有不足之处，近代商务印书馆搜求各时代的善本，编成“百衲本二十四史”，当时可谓“二十四史”的最佳版本。但是传统的“二十四史”没有标点，没有断句，读起来仍有一定困难。五十年代，由国家领导建议，集中当时全国史家，对“二十四史”进行校订，加上标点，是为标点本“二十四史”，实为“二十四史”的最佳版本。

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这本书算是经典了，过段时间再看

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希望能有更多更好的外文书籍影印到国内，这样方便了我们大家

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买的还没看，英文的感觉好行，三本估计要看一年

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东西不错。。。。。。。。。。。

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This work is intended to provide a course of study of some of the major aspects of PDE. It is addressed to readers with a background in the basic introductory graduate mathematics courses in American universities: elementary real and complex analysis， differential geometry， and measure theory.

评分☆☆☆☆☆

一起买了一套，准备新年之后慢慢读，争取有所收获

类似图书 点击查看全场最低价