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This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate -- independent hysteresis, numerical analysis of Hamilton Jacobi -- Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.
E-Book Content
Mathematics in
Science and Technology
Mathematical Methods, Models and Algorithms in Science and Technology
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Proceedings of the Satellite Conference of ICM 2010
Mathematics in
Science and Technology
Mathematical Methods, Models and Algorithms in Science and Technology India Habitat Centre & India Islamic Cultural Centre, New Delhi, India 14 – 17 August 2010
Editors
A H Siddiqi
Sharda University, India
R C Singh
Sharda University, India
P Manchanda
Gurunanak Dev University, India
World Scientific NEW JERSEY
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Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library.
Proceedings of the Satellite Conference of ICM 2010 MATHEMATICS IN SCIENCE AND TECHNOLOGY Mathematical Methods, Models and Algorithms in Science and Technology Copyright © 2011 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher.
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ISBN-13 978-981-4338-81-3 ISBN-10 981-4338-81-8
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PREFACE This volume is based on selected talks — invited, thematic and contributory — delivered during the Satellite Conference of the International Congress of Mathematicians 2010 on Mathematics in Science and Technology, held in New Delhi, India, 14–17 August 2010, sponsored by ICM 2010; Department of Science and Technology (DST); National Board of Higher Mathematics (NBHM); Council of Scientific and Industrial Research (CSIR); Defense Research and Development organization (DRDO), Government of India; Sharda University, Greater Noida, India; Abdus Salam International Centre for Theoretical Physics, Trieste, Italy (a UNESCO centre); Internati