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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	August 2018
Genre:	Schulbücher
	B / Biological and Medical Physics, Biophysics / Biological physics / Biomathematics / Biophysics / Engineering Mechanics / Mathematical and Computational Biology / Mathematical Applications in the Physical Sciences / Mathematical modelling / Mathematical physics / Mathematics and Statistics / Mechanics / Mechanics of solids / Mechanics, Applied / Medical physics / Physiological, Cellular and Medical Topics / Theoretical and Applied Mechanics
ISBN:	9783319870328
EAN-Code:	9783319870328
Verlag:	Springer International Publishing
Einband:	Kartoniert
Sprache:	English
Serie:	#03 - Forum for Interdisciplinary Mathematics
Dimensionen:	H 235 mm / B 155 mm / D 13 mm
Gewicht:	353 gr
Seiten:	228
Zus. Info:	Paperback
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.