偏微分方程

所属分类:数学  
出版时间:2004-12   出版时间:清华大学出版社   作者:麦克欧文   页数:420  
Tag标签:偏微分方程,数学,英文原版  

内容概要

This book has evolved from a two-term graduate course in partial differential equations which I have taught at Northeastern University many times since 1980. The first term is intended to give the student a basic and classical introduction to the subject, including first-order equations by the method of characteristics and linear second-order equations which arise in mathematical physics: the wave equation, Laplace equation, and heat equation.     All of this material is more than adequately covered by many textbooks which are readily available. The second term, however, is intended to introduce the student to a wide variety of more modern methods, especially the use of functional analysis, which has characterized much of the recent development of partial differential equations. This latter material is not as readily available, except in a number of specialized reference books.     This textbook is intended to bridge this gap by providing the student with a basic introduction to the subject and an exposure to some of the more modern methods.

书籍目录

Chapter
1
First\|Order
Equations
1.1
The
Cauchy
Problem
for
Quasilinear
Equations
1.2
Weak
Solutions
for
Quasilinear
Equations
1.3
General
Nonlinear
Equations
1.4
Concluding
remarks
on
First-Order
EquationsChapter
2
Principles
for
Higher\|Order
Equations
2.1
Trhe
Cauchy
Problem
2.2
Second-Order
Equations
in
Two
Varibales
2.3
Linear
Equations
and
Generalized
SolutionsChapter
3
The
Wave
Equation
3.1
The
One-Dimensional
Wave
Equation
3.2
Higher
Dimensions
3.3
Energy
Methods
3.4
Lower-order
TermsChapter
4
The
Laplace
Equation
4.1
Introudiction
to
the
Laplace
Equation
4.2
Potential
Theory
and
Green's
Functions
4.3
General
Existence
Theory
4.4
Eigenvalues
of
the
LaplacianChapter
5
The
Heat
Equation
5.1
The
Heat
Equation
in
a
Bounded
Domain
5.2
The
Pure
Initial
Value
Problem
5.3
Regularity
and
SimilarityChapter
6
Linear
Functional
Analysis
6.1
Function
Spaces
and
Linear
Operators
6.2
Application
to
the
Dirichlet
Problem
6.3
Duality
and
Compactness
6.4
Sobolev
Imbedding
Theorems
6.5
Generalizations
and
RefinementsChapter
7
Differential
Calculus
Methods ……Chapter
8
Linear
Elliptic
Theory Chapter
9
Two
Additional
Methods Chapter10
Systems
of
Conservation
Laws Chapter11
Linear
and
Nonlinear
Diffusion Chapter12
Linear
and
Nonlinear
Waves Chapter13
Nonlinear
Elliptic
Equations

图书封面

图书标签Tags

偏微分方程,数学,英文原版


    偏微分方程下载



用户评论 (总计21条)

 
 

  •     觉得还可以,如果要是在有一本中文版的就最好了。不过专业的课本,还是得靠我自己学习的。
  •     内容再慢慢看,很精彩。
  •     音质非常好。播音很好听。,叫Social Scene~但本书不带此CD
  •     是本好书,内容清晰深刻
  •     喜欢这本小说。,蛮新的
  •     有些会掉色。。,适合词汇量少的人阅读
  •     对于想买原版而又嫌贵的人再合适不过,读起来也舒服
  •     适合英语专业的同学看,是导读本
  •     值得喜欢文艺文学的同学读读,不是这一本954页
  •     配货速度快,原汁原味儿的播音
  •     帮人买的,但发现很不适合高中生
  •     除了光盘里的内容老了一点儿,开卷有益。
  •     语言优美,我们老师是爱因斯坦的第四代徒弟(研究生的研究生的研究生的研究生)
  •     很好的质量,内容好印刷也好
  •     很不错。 内容不错,哈哈
  •     畅快~,虽然书皮有些脏
  •     这价格对得起这本原著了,才是真正的生活。作者很有意境。
  •     得边看边在网上查意思!不过内容挺好的!,不仅提高英语
  •     看起来有点慢……,看完收获会很多
  •     谢谢推荐~,待读
  •     终于入手,之前在韩国买过同一系列的
 

自然科学类PDF下载,数学PDF下载。 PPT下载网 

PPT下载网 @ 2017