Applied Mathematics Kolkata, India, February 2014
The book is based on research presentations at the international conference, “Emerging Trends in Applied Mathematics: In the Memory of Sir Asutosh Mookerjee, S.N. Bose, M.N. Saha, and N.R. Sen”, held at the Department of Applied Mathematics, University of
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Susmita Sarkar Uma Basu Soumen De Editors
Applied Mathematics Kolkata, India, February 2014
Springer Proceedings in Mathematics & Statistics Volume 146
Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
More information about this series at http://www.springer.com/series/10533
Susmita Sarkar Uma Basu Soumen De •
•
Editors
Applied Mathematics Kolkata, India, February 2014
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Editors Susmita Sarkar Department of Applied Mathematics University of Calcutta (UoC) Kolkata, West Bengal India
Soumen De Department of Applied Mathematics University of Calcutta (UoC) Kolkata, West Bengal India
Uma Basu Department of Applied Mathematics University of Calcutta (UoC) Kolkata, West Bengal India
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-81-322-2546-1 ISBN 978-81-322-2547-8 (eBook) DOI 10.1007/978-81-322-2547-8 Library of Congress Control Number: 2015946738 Mathematics Subject Classification (2010): 53-XX, 76HXX, 74B-XX, 85AXX, 92F99, 91B80, 97MXX Springer New Delhi Heidelberg New York Dordrecht London © Springer India 2015 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. Printed on acid-free paper Springer (India) Pvt. Ltd. is part of Springer Science+Business Media (www.springer.com)
In memory of Sir Asutosh Mookerjee, S.N. Bose, M.N. Saha and N.R. Sen
Preface
The year 2014 is the 150th birth an
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