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 conc
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Ivaïlo M. Mladenov Mariana Hadzhilazova
The Many Faces of Elastica
Forum for Interdisciplinary Mathematics Volume 3
Editor-in-chief P.V. Subrahmanyam, Indian Institute of Technology Madras, Chennai, India Editorial Board Bhu Dev Sharma, Forum for Interdisciplinary Mathematics, Meerut, India Janusz Matkowski, University of Zielona Góra, Zielona Góra, Poland Mathieu Dutour Sikirić, Institute Rudjer Bosković, Zagreb, Croatia Thiruvenkatachari Parthasarathy, Chennai Mathematical Institute, Kelambakkam, India Yogendra Prasad Chaubey, Concordia University, Montréal, Canada
The Forum for Interdisciplinary Mathematics (FIM) series publishes high-quality monographs and lecture notes in mathematics and interdisciplinary areas where mathematics has a fundamental role, such as statistics, operations research, computer science, financial mathematics, industrial mathematics, and bio-mathematics. It reflects the increasing demand of researchers working at the interface between mathematics and other scientific disciplines.
More information about this series at http://www.springer.com/series/13386
Ivaïlo M. Mladenov Mariana Hadzhilazova •
The Many Faces of Elastica
123
Ivaïlo M. Mladenov Institute of Biophysics and Biomedical Engineering Bulgarian Academy of Sciences Sofia Bulgaria
Mariana Hadzhilazova Institute of Biophysics and Biomedical Engineering Bulgarian Academy of Sciences Sofia Bulgaria
ISSN 2364-6748 ISSN 2364-6756 (electronic) Forum for Interdisciplinary Mathematics ISBN 978-3-319-61242-3 ISBN 978-3-319-61244-7 (eBook) DOI 10.1007/978-3-319-61244-7 Library of Congress Control Number: 2017947691 Originally published by Avangard Prima Publishing, Bulgaria, 2013 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Spr
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