Intelligent Routines Solving Mathematical Analysis with Matlab, Math
Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the fir
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Editors-in-Chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected]
For further volumes: http://www.springer.com/series/8578
Prof. Lakhmi C. Jain School of Electrical and Information Engineering University of South Australia Adelaide South Australia SA 5095 Australia E-mail: [email protected]
George A. Anastassiou and Iuliana F. Iatan
Intelligent Routines Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple
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Authors George A. Anastassiou Department of Mathematical Sciences University of Memphis Memphis USA
Iuliana F. Iatan Department of Mathematics and Computer Science Technical University of Civil Engineering Bucharest Romania
ISSN 1868-4394 e-ISSN 1868-4408 ISBN 978-3-642-28474-8 e-ISBN 978-3-642-28475-5 DOI 10.1007/978-3-642-28475-5 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012932490 c Springer-Verlag Berlin Heidelberg 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to our families.
VII
”Homines dum docent discunt.” Seneca, Epistole 7
”Nihil est in intellectu, quod non prius fuerit in sensu.” John Locke
”Les beaux (grands) esprits se rencontrent.” Voltaire
”Men sh
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