书目名称 | Computational Approach to Riemann Surfaces |
编辑 | Alexander I. Bobenko,Christian Klein |
视频video | |
概述 | Self-contained introduction to the theory of Riemann surfaces.Detailed explanation of existing codes with examples.Visualization of solutions to integrable partial differential equations and surfaces. |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented.The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter.At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applic |
出版日期 | Book 2011 |
关键词 | 30-XX, 65-XX,14-XX; Riemann surfaces; algebraic curves; discrete geometry; uniformization |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-17413-1 |
isbn_softcover | 978-3-642-17412-4 |
isbn_ebook | 978-3-642-17413-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |