点击选择搜索分类
首页 - 旅游/地图- 正文
☆☆☆☆☆
||
Lawrence,C.Evans 著
出版社: 高等教育出版社 ISBN:9787040469356 版次:1 商品编码:12118820 包装:精装 丛书名: 美国数学会经典影印系列 外文名称:Partial Differential Equations(Second Edition) 开本:16开 出版时间:2017-01-01 用纸:胶版纸 页数:754 字数:1
·新增非线性波动方程的一章
·超过80个新习题
·许多新的小节
·大大扩充了参考文献
——Mathematical Reviews
★对那些准备做PDE研究的研究生来说,此书是非常宝贵的。我希望能在研究生院使用它。
——MAA Reviews
Preface to first edition
1. Introduction
1.1. Partial differential equations
1.2. Examples
1.2.1. Single partial differential equations
1.2.2. Systems of partial differential equations
1.3. Strategies for studying PDE
1.3.1. Well-posed problems, classical solutions
1.3.2. Weak solutions and regularity
1.3.3. Typical difficulties
1.4. Overview
1.5. Problems
1.6. References
PART I: REPRESENTATION FORMULAS FOR SOLUTIONS
2. Four Important Linear PDE
2.1. Transport equation
2.1.1. Initial-value problem
2.1.2. Nonhomogeneous problem
2.2. Laplace's equation
2.2.1. Fundamental solution
2.2.2. Mean-value formulas
2.2.3. Properties of harmonic functions
2.2.4. Green's function
2.2.5. Energy methods
2.3. Heat equation
2.3.1. Fundamental solution
2.3.2. Mean-value formula
2.3.3. Properties of solutions
2.3.4. Energy methods
2.4. Wave equation
2.4.1. Solution by spherical means
2.4.2. Nonhomogeneous problem
2.4.3. Energy methods
2.5. Problems .
2.6. References
3. Nonlinear First-Order PDE
3.1. Complete integrals, envelopes
3.1.1. Complete integrals
3.1.2. New solutions from envelopes
3.2. Characteristics
3.2.1. Derivation of characteristic ODE
3.2.2. Examples
3.2.3. Boundary conditions
3.2.4. Local solution
3.2.5. Applications
3.3. Introduction to Hamilton-Jacobi equations
3.3.1. Calculus of variations, Hamilton's ODE
3.3.2. Legendre transform, Hopf-Lax formula
3.3.3. Weak solutions, uniqueness
3.4. Introduction to conservation laws
3.4.1. Shocks, entropy condition
3.4.2. Lax-Oleinik formula
3.4.3. Weak solutions, uniqueness
……
PART Ⅱ: THEORY FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS
PART Ⅲ: THEORY FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
APPENDICES
Bibliography
Index
偏微分方程(第二版)(英文版) [Partial Differential Equations(Second Edition)] 电子书 下载 mobi epub pdf txt
偏微分方程(第二版)(英文版) [Partial Differential Equations(Second Edition)]-so88
偏微分方程(第二版)(英文版) [Partial Differential Equations(Second Edition)] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
Lawrence,C.Evans 著
出版社: 高等教育出版社 ISBN:9787040469356 版次:1 商品编码:12118820 包装:精装 丛书名: 美国数学会经典影印系列 外文名称:Partial Differential Equations(Second Edition) 开本:16开 出版时间:2017-01-01 用纸:胶版纸 页数:754 字数:1
内容简介
这是当今偏微分方程(PDE)教材的第二版。它给出了PDE理论学习中现代技术的总览,特别注重非线性方程。《偏微分方程(第二版)(英文版)》内容广泛、阐述清晰,已经是PDE方面经典的研究生教材。在本版中,作者做了大量改动,包括·新增非线性波动方程的一章
·超过80个新习题
·许多新的小节
·大大扩充了参考文献
内页插图
精彩书评
★此教科书的第二版讲述了PDE多的研究方向,更值得称赞的是,Evans教授花了大量时间和精力来使一本已经十分成功和精彩的书变得更好。无需赘言,我毫无保留热情地给每一个有兴趣研究PDE的人推荐此书。——Mathematical Reviews
★对那些准备做PDE研究的研究生来说,此书是非常宝贵的。我希望能在研究生院使用它。
——MAA Reviews
目录
Preface to second editionPreface to first edition
1. Introduction
1.1. Partial differential equations
1.2. Examples
1.2.1. Single partial differential equations
1.2.2. Systems of partial differential equations
1.3. Strategies for studying PDE
1.3.1. Well-posed problems, classical solutions
1.3.2. Weak solutions and regularity
1.3.3. Typical difficulties
1.4. Overview
1.5. Problems
1.6. References
PART I: REPRESENTATION FORMULAS FOR SOLUTIONS
2. Four Important Linear PDE
2.1. Transport equation
2.1.1. Initial-value problem
2.1.2. Nonhomogeneous problem
2.2. Laplace's equation
2.2.1. Fundamental solution
2.2.2. Mean-value formulas
2.2.3. Properties of harmonic functions
2.2.4. Green's function
2.2.5. Energy methods
2.3. Heat equation
2.3.1. Fundamental solution
2.3.2. Mean-value formula
2.3.3. Properties of solutions
2.3.4. Energy methods
2.4. Wave equation
2.4.1. Solution by spherical means
2.4.2. Nonhomogeneous problem
2.4.3. Energy methods
2.5. Problems .
2.6. References
3. Nonlinear First-Order PDE
3.1. Complete integrals, envelopes
3.1.1. Complete integrals
3.1.2. New solutions from envelopes
3.2. Characteristics
3.2.1. Derivation of characteristic ODE
3.2.2. Examples
3.2.3. Boundary conditions
3.2.4. Local solution
3.2.5. Applications
3.3. Introduction to Hamilton-Jacobi equations
3.3.1. Calculus of variations, Hamilton's ODE
3.3.2. Legendre transform, Hopf-Lax formula
3.3.3. Weak solutions, uniqueness
3.4. Introduction to conservation laws
3.4.1. Shocks, entropy condition
3.4.2. Lax-Oleinik formula
3.4.3. Weak solutions, uniqueness
……
PART Ⅱ: THEORY FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS
PART Ⅲ: THEORY FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
APPENDICES
Bibliography
Index
偏微分方程(第二版)(英文版) [Partial Differential Equations(Second Edition)] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 双螺旋:插图注释本 9787213076107
- Volcanoes火山 [平装] [4-8岁]
- 纳米科学 9787562842224
- 广告与营销策划
- 人体的奥秘(超值全彩珍藏版)
- What Was the Gold Rush? 英文原版 [平装] [8-12岁]
- 体育用品篇-儿童创意涂鸦
- Bedtime for Frances 弗朗西斯该睡觉了 [平装] [4岁及以上]
- BF-用物理思考世界-美国中学生课外读物-(美)甘德森,李哲 上海科学技术文献出版社 97
- The Giving Tree 40th Anniversary Edition Book (with CD) 爱心树,40周年纪念版 [精装] [1岁及以上]
- 轻松识别生活图标 王宁 绘
- 运营实战指南
- 正版 戴震文集(中国历史文集丛刊) (清)戴震,赵玉新 点校 9787101007589
- 二手房销售超级训练手册(实战强化版)
- BF-毒物管理史-世界毒物全史-71-80卷-史志诚 西北大学出版社 9787560438