书目名称 | Partial Differential Equations |
副标题 | Vol. 1 Foundations a |
编辑 | Friedrich Sauvigny |
视频video | |
概述 | Connects clearly PDEs and complex variable methods.The exposition is very careful and readable.Encyclopedia-like book on the subject |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods...In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer‘s degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume...This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.. |
出版日期 | Textbook 20061st edition |
关键词 | Differential Geometry; Partial Differential Equations; Potential; Potential Theory; functional analysis; |
版次 | 1 |
doi | https://doi.org/10.1007/3-540-34459-4 |
isbn_ebook | 978-3-540-34459-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag Berlin Heidelberg 2006 |