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The many faces of elastica

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 calcu...

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Detalles Bibliográficos
Autores principales: Mladenov, Ivaïlo M, Hadzhilazova, Mariana
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-61244-7
http://cds.cern.ch/record/2282060
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author Mladenov, Ivaïlo M
Hadzhilazova, Mariana
author_facet Mladenov, Ivaïlo M
Hadzhilazova, Mariana
author_sort Mladenov, Ivaïlo M
collection CERN
description 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.
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spelling cern-22820602021-04-21T19:05:11Zdoi:10.1007/978-3-319-61244-7http://cds.cern.ch/record/2282060engMladenov, Ivaïlo MHadzhilazova, MarianaThe many faces of elasticaMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:22820602017
spellingShingle Mathematical Physics and Mathematics
Mladenov, Ivaïlo M
Hadzhilazova, Mariana
The many faces of elastica
title The many faces of elastica
title_full The many faces of elastica
title_fullStr The many faces of elastica
title_full_unstemmed The many faces of elastica
title_short The many faces of elastica
title_sort many faces of elastica
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-61244-7
http://cds.cern.ch/record/2282060
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