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 2024

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 2024

☆☆☆☆☆
簡體網頁||繁體網頁



點擊這裡下載

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 2024

类似图書 點擊查看全場最低價

---

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 2024

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☆☆☆☆☆

書無質量問題，趁著搞活動買的。

評分☆☆☆☆☆

英文版的數學經典，不錯。

評分☆☆☆☆☆

印刷質量不錯，內容正在看

評分☆☆☆☆☆

很好用，值得夠買，是正版

評分☆☆☆☆☆

此用戶未填寫評價內容

評分☆☆☆☆☆

活動時買來用來收藏的，還沒看，感覺還不錯。

評分☆☆☆☆☆

書非常好！！！送貨也很快！！！！

評分☆☆☆☆☆

Partial differential equations is a many-faceted subject. Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds， it has developed into a body of material that interacts with many branches of math- ematics， such as differential geometry， complex analysis， and harmonic analysis， as well as a ubiquitous factor in the description and elucidation of problems in mathematical physics.

評分☆☆☆☆☆

很厚實的書，對於偏微分方程來說內容非常翔實。

类似图書 點擊查看全場最低價