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The Many Faces Of Elastica Hadzhilazova Mariana Mladenov Ivailo M

  • SKU: BELL-6752688
The Many Faces Of Elastica Hadzhilazova Mariana Mladenov Ivailo M
$ 31.00 $ 45.00 (-31%)

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The Many Faces Of Elastica Hadzhilazova Mariana Mladenov Ivailo M instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 5.08 MB
Pages: 223
Author: Hadzhilazova, Mariana; Mladenov, Ivailo M
ISBN: 9783319612423, 9783319612447, 3319612425, 3319612441
Language: English
Year: 2017

Product desciption

The Many Faces Of Elastica Hadzhilazova Mariana Mladenov Ivailo M by Hadzhilazova, Mariana; Mladenov, Ivailo M 9783319612423, 9783319612447, 3319612425, 3319612441 instant download after payment.

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.
Abstract: This book provides an introduction to the mathematical aspects of Euler's elastic theory and its application. The remaining chapters discuss the modeling of membranes, mylar balloons, rotating liquid drops, Hele-Shaw cells, nerve fibers, Cole's experiments, and membrane fusion.

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