Fractional and Multivariable Calculus Model Building and Optimizati
This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topi
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A.M. Mathai H.J. Haubold
Fractional and Multivariable Calculus Model Building and Optimization Problems
Springer Optimization and Its Applications VOLUME 122 Managing Editor Panos M. Pardalos, University of Florida
Editor–Combinatorial Optimization Ding-Zhu Du, University of Texas at Dallas
Advisory Board J. Birge, University of Chicago S. Butenko, Texas A&M University F. Giannessi, University of Pisa S. Rebennack, Karlsruhe Institute of Technology T. Terlaky, Lehigh University Y. Ye, Stanford University
Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The series Springer Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multi-objective programming, description of software packages, approximation techniques and heuristic approaches. More information about this series at http://www.springer.com/series/7393
A.M. Mathai H.J. Haubold •
Fractional and Multivariable Calculus Model Building and Optimization Problems
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A.M. Mathai Centre for Mathematical and Statistical Sciences Peechi Campus, Kerala India
H.J. Haubold Vienna International Centre Office for Outer Space Affairs United Nations, Vienna Austria
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Department of Mathematics and Statistics McGill University Montreal, QC Canada
Centre for Mathematical and Statistical Sciences Peechi Campus, Kerala India
ISSN 1931-6828 ISSN 1931-6836 (electronic) Springer Optimization and Its Applications ISBN 978-3-319-59992-2 ISBN 978-3-319-59993-9 (eBook) DOI 10.1007/978-3-319-59993-9 Library of Congress Control Number: 2017943230 Mathematics Subject Classification (2010): 15B57, 26A33, 60B20, 62E15, 33C60, 40C05 © Springer International Publishing AG 2017 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 name
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