調和函數理論

調和函數理論

图书基本信息
出版时间:2004-4
出版社:世界圖書出版公司
作者:Paul Bourdon
页数:259
书名:調和函數理論
封面图片
調和函數理論
内容概要
Harmonic functions--the solutions of Laplace's equation--play a crucial role in many areas of mathematics, physics, and engineering. But learning about them is not always easy. At times the authors have agreed with Lord Kelvin and Peter Tait, who wrote ([18], Preface) There can be but one opinion as to the beauty and utility of this analysis of Laplace; but the manner in which it has been hitherto presented has seemed repulsive to the ablest mathematicians, and difficult to ordinary mathematical students.
书籍目录
Preface Acknowledgments CHAPTER 1   Basic Properties of Harmonic Functions   Definitions and Examples   Invariance Properties   The Mean-Value Property   The Maximum Principle   The Poisson Kernel for the Ball   The Dirichlet Problem for the Ball   Converse of the Mean-Value Property   Real Analyticity and Homogeneous Expansions   Origin of the Term "Harmonic"   Exercises CHAPTER 2 Bounded Harmonic Functions   Liouvfile‘s Theorem   Isolated Singularities   Cauchy‘s Estimates   Normal Families   Maximum Principles  Limits Along Rays  Bounded Harmonic Functions on the Ball  ExercisesCHPATER 3  Positive Harmonic FunctionsCHPATER 4  The Kelvin TransformCHPATER 5  Harmonic PolynomialsCHPATER 6  Harmonic Hardy SpacesCHPATER 7  Harmonic Funtions on Half-SpacesCHAPTER 8  Harmonic Bergaman SpacesCHAPTER 9  The Decomposition TheoremCHAPTER 10  Annular RegionsCHAPTER 11  The Dirichlet Problem and Boundary BehaviorAPPENDIX A Volume,Surface Area,and Interation on SpheresAPPENDIX B Harmonic Function Theory and MathematicaReferencesSymbol IndexIndex
下载链接

調和函數理論下載

评论与打分
  •     很好的書哦。努力學習
  •     需要的時候還是要常翻番的
  •     比較容易看懂
  •     都是為了考試而買!看著還行!
  •     內容沒有看,但覺得有點坑,原來就是本一般平裝的書,紙質也有點差,竟然四十多,不過,也可能是書的內容很有價值吧,看過後再評論。