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An important objective of the study of mathematics is to analyze and visualize phenomena of nature and real world problems for its proper understanding. Gradually, it is also becoming the language of modem financial instruments. To project some of these developments, the conference was planned under the joint auspices of the Indian Society of Industrial and Applied mathematics (ISlAM) and Guru Nanak Dev University (G. N. D. U. ), Amritsar, India. Dr. Pammy Manchanda, chairperson of Mathematics Department, G. N. D. U. , was appointed the organizing secretary and an organizing committee was constituted. The Conference was scheduled in World Mathematics Year 2000 but, due one reason or the other, it could be held during 22. -25. January 2001. How ever, keeping in view the suggestion of the International Mathematics union, we organized two symposia, Role of Mathematics in industrial development and vice-versa and How image of Mathematics can be improved in public. These two symposia aroused great interest among the participants and almost everyone participated in the deliberations. The discussion in these two themes could be summarized in the lengthy following lines: "Tradition of working in isolation is a barrier for interaction with the workers in the other fields of science and engineering, what to talk of non-academic areas, specially the private sector of finance and industry. Therefore, it is essential to build bridges within in stitutions and between institutions.
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Trends in Industrial and Applied Mathematics Applied Optimization Volume 72 Series Editors: Panos M. Pardalos University of Florida, U.S.A. Donald Hearn University of Florida, U.S.A. The titles published in this series are listed at the end of this volume. Trends in Industrial and Applied Mathematics Proceedings of the 1st International Conference on Industrial and Applied Mathematics of the Indian Subcontinent Edited by Abul Hasan Siddiqi Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia and Michal Kocvara Institute ofApplied Mathematics, University of Erlangen, Erlangen, Germany KLUWER ACADEMIC PUBLISHERS DORDRECHT I BOSTON I LONDON A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN-13: 978-1-4613-7967-6 e-ISBN-13: 978-1-4613-0263-6 DOT: 10.1007/978-1-4613-0263-6 Published by Kluwer Academic Publishers, P.O. Box 17, 3300AA Dordrecht, The Netherlands. Sold and distributed in North, Central and South America by Kluwer Academic Publishers, 101 Philip Drive, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers, P.O. Box 322, 3300 AH Dordrecht, The Netherlands. Printed on acidjree paper All Rights Reserved © 2002 Kluwer Academic Publishers Reprint of the original edition No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. This book is dedicated to P. Butzer and M.Z. Nashed for their life-long contributions to applied mathematics. Contents ix Preface Contributing Authors xix A Perspective on Industrial Mathematics Work in Recent Years 1 Noel G. Barton Part I Sampling Theorems The Sampling Theorem of Signal Processing 23 Paul L. Butzer The 'Riesz Basis Method' for Deriving Sampling Series: An Overview and some A