調(diào)和函數(shù)理論

出版時(shí)間:2004-4  出版社:世界圖書出版公司  作者:Paul Bourdon  頁數(shù):259  
Tag標(biāo)簽:無  

內(nèi)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.

書籍目錄

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

圖書封面

圖書標(biāo)簽Tags

評(píng)論、評(píng)分、閱讀與下載


    調(diào)和函數(shù)理論 PDF格式下載


用戶評(píng)論 (總計(jì)5條)

 
 

  •   很好的書哦。努力學(xué)習(xí)
  •   需要的時(shí)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(nèi)容沒有看,但覺得有點(diǎn)坑,原來就是本一般平裝的書,紙質(zhì)也有點(diǎn)差,竟然四十多,不過,也可能是書的內(nèi)容很有價(jià)值吧,看過后再評(píng)論。
 

250萬本中文圖書簡介、評(píng)論、評(píng)分,PDF格式免費(fèi)下載。 第一圖書網(wǎng) 手機(jī)版

京ICP備13047387號(hào)-7