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  • 偏微分方程 第2卷 第二版 英文版 泰勒 世界图书出版 Partial Differential Equations I
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    • 作者: Michael著
    • 出版社: 世界图书出版公司
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    • 作者: Michael著
    • 出版社:世界图书出版公司
    • 开本:24开
    • ISBN:9784744419864
    • 版权提供:世界图书出版公司

     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     

     

    产品展示 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    基本信息 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    商品名称: 偏微分方程 第2卷
    作 者: 泰勒
    定 价: 99.00
    重 量:  
    ISBN   号: 9787510068140
    出  版  社: SJ图书出版公司
    开 本: 24
    页 数: 614
    字 数:  
    装 帧:  
    出版时间/版次: 2014-1-1
    印刷时间/印次: 2014-1-1
    编辑推荐 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
     
    内容介绍 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    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.
    作者介绍 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
     
    目录 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
    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
    ……
    在线试读部分章节 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐
     

     

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