Overview
- Provides a deep overview of elastica theory with application to biological systems
- Requires minimal prerequisites consisting of basic calculus and basic physics
- Suitable for a mixed audience of students in mathematics, physics and engineering
- Includes supplementary material: sn.pub/extras
Part of the book series: Forum for Interdisciplinary Mathematics (FFIM)
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Table of contents (6 chapters)
Keywords
- Bernoulli’s lemniscates
- Biological membranes
- Canham model
- Cassinian ovals
- Cole model
- Delaunay surfaces
- Deuling model
- Frenet-Serret equations
- Hele-Shaw cells
- Helfrich model
- Laplace-Young equation
- Whewell parameterization
- Yoneda method
- rotating liquid drop
- local theory of curves
- Sturmian spirals
- nodoid
- unduloid
- mylar balloon
- Stalk model
About this book
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Authors and Affiliations
Bibliographic Information
Book Title: The Many Faces of Elastica
Authors: Ivaïlo M. Mladenov, Mariana Hadzhilazova
Series Title: Forum for Interdisciplinary Mathematics
DOI: https://doi.org/10.1007/978-3-319-61244-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-61242-3Published: 29 August 2017
Softcover ISBN: 978-3-319-87032-8Published: 07 August 2018
eBook ISBN: 978-3-319-61244-7Published: 18 August 2017
Series ISSN: 2364-6748
Series E-ISSN: 2364-6756
Edition Number: 1
Number of Pages: XV, 212
Number of Illustrations: 79 b/w illustrations, 6 illustrations in colour
Additional Information: Originally published by Avangard Prima Publishing, Bulgaria, 2013
Topics: Physiological, Cellular and Medical Topics, Biological and Medical Physics, Biophysics, Theoretical and Applied Mechanics, Mathematical Applications in the Physical Sciences, Mathematical Physics