| 书目名称 | Linear Integral Equations |
| 编辑 | Rainer Kress |
| 视频video | |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | I fell in love with integral equations about twenty years ago when I was working on my thesis, and I am still attracted by their mathematical beauty. This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods. Therefore, in this book I intend to cover each of these fields with the same weight. The first part provides the basic Riesz-Fredholm theory for equa tions of the second kind with compact opertors in dual systems including all functional analytic concepts necessary for developing this theory. The second part then illustrates the classical applications of integral equation methods to boundary value problems for the Laplace and the heat equation as one of the main historical sources for the development of integral equations, and also in troduces Cauchy type singular integral equations. The third part is devoted to describing the fundamental ideas for the numerical solution of integral equa tions. Finally, in a fourth part, ill-posed integral equations of the first kind and their regularization are studied in a Hilbert spa |
| 出版日期 | Textbook 19891st edition |
| 关键词 | Hilbert space; Integral calculus; Integral equation; Riesz-Fredholm theory; calculus; differential equati |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-97146-4 |
| isbn_ebook | 978-3-642-97146-4Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag Berlin Heidelberg 1989 |
发表于 2025-3-21 17:01:37
