The Many Faces of Elastica

Nonfiction, Science & Nature, Science, Biological Sciences, Biophysics, Mathematics, Applied
Cover of the book The Many Faces of Elastica by Ivaïlo M. Mladenov, Mariana Hadzhilazova, Springer International Publishing
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Author: Ivaïlo M. Mladenov, Mariana Hadzhilazova ISBN: 9783319612447
Publisher: Springer International Publishing Publication: August 18, 2017
Imprint: Springer Language: English
Author: Ivaïlo M. Mladenov, Mariana Hadzhilazova
ISBN: 9783319612447
Publisher: Springer International Publishing
Publication: August 18, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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