| 书目名称 | The Many Faces of Elastica |
| 编辑 | Ivaïlo M. Mladenov,Mariana Hadzhilazova |
| 视频video | http://file.papertrans.cn/914/913605/913605.mp4 |
| 概述 | Provides a deep overview of elastica theory with application to biological systems.Requires minimal prerequisites consisting of basic calculus and basic physics.Suitable for a mixed audience of studen |
| 丛书名称 | Forum for Interdisciplinary Mathematics |
| 图书封面 |  |
| 描述 | This book provides an introduction to the mathematical aspects of Euler‘s elastic theory and its application. The approach is rigorous, as well as visually depicted, and can be easily digested. The first few chapters introduce the needed mathematical concepts from geometry and variational calculus. The formal definitions and proofs are always illustrated through complete derivations and concrete examples. In this way, the reader becomes acquainted with Cassinian ovals, Sturmian spirals, co-Lemniscates, the nodary and the undulary, Delaunay surfaces, and their generalizations. The remaining chapters discuss the modeling of membranes, mylar balloons, rotating liquid drops, Hele-Shaw cells, nerve fibers, Cole‘s experiments, and membrane fusion. The book is geared towards applied mathematicians, physicists and engineers interested in Elastica Theory and its applications.. |
| 出版日期 | Book 2017 |
| 关键词 | Bernoulli’s lemniscates; Biological membranes; Canham model; Cassinian ovals; Cole model; Delaunay surfac |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-61244-7 |
| isbn_softcover | 978-3-319-87032-8 |
| isbn_ebook | 978-3-319-61244-7Series ISSN 2364-6748 Series E-ISSN 2364-6756 |
| issn_series | 2364-6748 |
| copyright | Springer International Publishing AG 2017 |
|Archiver|手机版|小黑屋|
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