Advances in Applied Mathematics and Global Optimization In Honor of
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementa
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Advances in Applied Mathematics and Global Optimization In Honor of Gilbert Strang
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ADVANCES IN APPLIED MATHEMATICS AND GLOBAL OPTIMIZATION IN HONOR OF GILBERT STRANG
Advances in Mechanics and Mathematics VOLUME 17 Series Editors David Y. Gao (Virginia Polytechnic Institute and State University) Ray W. Ogden (University of Glasgow)
Advisory Board Ivar Ekeland (University of British Columbia, Vancouver) Tim Healey (Cornell University, USA) Kumbakonam Rajagopal (Texas A&M University, USA) Tudor Ratiu (École Polytechnique Fédérale, Lausanne) David J. Steigmann (University of California, Berkeley)
Aims and Scope Mechanics and mathematics have been complementary partners since Newton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. The discipline of mechanics, for this series, includes relevant physical and biological phenomena such as: electromagnetic, thermal, quantum effects, biomechanics, nanomechanics, multiscale modeling, dynamical systems, optimization and control, and computational methods. Driven by increasingly elaborate modern technological applications, the symbiotic relationship between mathematics and mechanics is continually growing. The increasingly large number of specialist journals has generated a complementarity gap between the partners, and this gap continues to widen. Advances in Mechanics and Mathematics is a series dedicated to the publication of the latest developments in the interaction between mechanics and mathematics and intends to bridge the gap by providing interdisciplinary publications in the form of monographs, graduate texts, edited volumes, and a special annual book consisting of invited survey articles.
ADVANCES IN APPLIED MATHEMATICS AND GLOBAL OPTIMIZATION IN HONOR OF GILBERT STRANG
Edited By David Y. Gao Virginia Polytechnic Institute, Blacksburg, VA Hanif D. Sherali Virginia Polytechnic Institute, Blacksburg, VA
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Editors: David Y. Gao Department Mathematics Virginia Polytechnic Institute Blacksburg, VA 24061 [email protected] Series Editors: David Y. Gao Department of Mathematics Virginia Polytechnic Institute Blacksburg, VA 24061 [email protected]
ISBN 978-0-387-75713-1 DOI 10.1007/978-0-387-75714-8
Hanif D. Sherali Department Mathematics Virginia Polytechnic Institute Blacksburg, VA 24061 [email protected]
Ray W. Ogden Department of Mathematics University of Glasgow Glasgow, Scotland, UK [email protected]
e-ISBN 978-0-387-75714-8
Library of Congress Control Number: 2009921139 Mathematics Subject Classification (2000): 90-00, 49-00, 74-00, 65, 74, 81, 92 ©Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by s
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