偏微分方程（第2捲）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 電子書 下載 2025

偏微分方程（第2捲）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 電子書 下載 2025

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偏微分方程（第2捲）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 電子書 下載 2025

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內容簡介

　　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.

內頁插圖

目錄

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捲）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit epub pdf mobi txt 電子書 下載 2025

偏微分方程（第2捲）（第2版） [Partial Differential Equations II: Qualitative Studies of Linear Equations（2nd Edit 下載 epub mobi pdf txt 電子書

評分☆☆☆☆☆

偏微分經典，收藏慢慢看。。

評分☆☆☆☆☆

商品給力商品給力商品給力

評分☆☆☆☆☆

其實還可以的，看書比電子版好多瞭

評分☆☆☆☆☆

早就想入手，趕上促銷，速度買。價格很低瞭

評分☆☆☆☆☆

書無質量問題，趁著搞活動買的。

評分☆☆☆☆☆

書不錯，很好，還沒拆開來呢，以後再拆

評分☆☆☆☆☆

很厚實的書，對於偏微分方程來說內容非常翔實。

評分☆☆☆☆☆

　　——《德周數學評論》對方源、王元Calculus-書的評論（評論號：Zb1 0939.26001） 乾隆時代武英殿本“二十四史”在當時是標準本，但是武英殿本仍有不足之處，近代商務印書館搜求各時代的善本，編成“百衲本二十四史”，當時可謂“二十四史”的最佳版本。但是傳統的“二十四史”沒有標點，沒有斷句，讀起來仍有一定睏難。五十年代，由國傢領導建議，集中當時全國史傢，對“二十四史”進行校訂，加上標點，是為標點本“二十四史”，實為“二十四史”的最佳版本。

評分☆☆☆☆☆

偏微分經典，收藏慢慢看。。

类似图書 點擊查看全場最低價