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Many Faces of Elastica

Name: Many Faces of Elastica
Brand: Springer International Publishing AG
SKU: 21375268
Price: 48.48 EUR
Availability: InStock
Author: Ivailo M. Mladenov
ISBN: 9783319870328

Ivailo M. Mladenov

Mariana Hadzhilazova

Jezik

Angleščina

Knjiga Mehka

Koda Libristo: 21375268

Založba Springer International Publishing AG, avgust 2018

This book provides an introduction to the mathematical aspects of Euler's elastic theory and its app... Celoten opis

Koda Libristo: 21375268

118 b

48.48 €

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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.