3
0
0
0
0
Introduction to complex theory of differential equations
- 作者： Savin, Anton, author.
- 其他作者：
- 其他題名：
- Frontiers in mathematics.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Frontiers in mathematics,
- 主題： Differential equations. , Complex manifolds. , Mathematics. , Global Analysis and Analysis on Manifolds. , Partial Differential Equations. , Several Complex Variables and Analytic Spaces. , Geophysics/Geodesy.
- ISBN： 9783319517445 (electronic bk.) 、 9783319517438 (paper)
-
FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Leray residues -- Ramied integrals -- Asymptotics of ramied integrals -- Ramied Fourier transform -- Properties of ramied Fourier transform -- The Cauchy problem for equations with constant coefficients -- Singularities of the solution of Cauchy problem -- The Cauchy problem for equations with variable coefficients. Leray's uniformization -- Balayage inwards problem -- Mother body problem -- Hints for exercises.
- 摘要註: This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds. Although the theory of differential equations on real manifolds is well known - it is described in thousands of papers and its usefulness requires no comments or explanations - to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincare balayage problem and the mother body problem in geophysics. The monograph does not require readers to be familiar with advanced notions in complex analysis, differential equations, or topology. With its numerous examples and exercises, it appeals to advanced undergraduate and graduate students, and also to researchers wanting to familiarize themselves with the subject.
-
讀者標籤：
- 系統號： 005385198 | 機讀編目格式
館藏資訊
