Overview
- Develops the concepts of fundamental convex analysis and optimization
- Emphasizes on the geometric intuition of convex analysis and optimization
- Uses elementary alternative proofs of many results and an eclectic collection of useful facts
Part of the book series: Texts and Readings in Mathematics (TRIM, volume 83)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
Keywords
About this book
This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided further by supporting figures. Two distinguishing features of this book are the use of elementary alternative proofs of many results and an eclectic collection of useful concepts from optimization and convexity often needed by researchers in optimization, game theory, control theory, and mathematical economics. A full chapter on optimization algorithms gives an overview of the field, touching upon many current themes. The book is useful to advanced undergraduate and graduate students as well as researchers in the fields mentioned above and in various engineering disciplines.
Authors and Affiliations
About the authors
Vivek S. Borkar is former Institute Chair Professor with the Department of Electrical Engineering, Indian Institute of Technology Bombay, where he now continues as Emeritus Fellow. He obtained his B.Tech. from IIT Bombay, M.S. from Case Western Reserve University, and Ph.D. from the University of California, Berkeley. Earlier, he has held positions at TIFR-CAM and the Indian Institute of Science in Bengaluru and Tata Institute of Fundamental Research (TIFR), Mumbai, and visiting positions at the University of Twente, Massachusetts Institute of Technology, University of California at Berkeley, the University of Maryland at College Park, and the University of Illinois at Urbana-Champaign. His research interests include stochastic control and optimization, inclusive of theory, algorithms, and applications.
K. S. Mallikarjuna Rao is Professor with the Interdisciplinary Program in Industrial Engineering and Operations Research, Indian Institute of Technology Bombay, India. He completed his Ph.D. in Mathematics from the Indian Institute of Science, Bengaluru, India, in 2002 and M.Sc. in Mathematics form Andhra University, Visakhapattanam, India. Earlier, he held postdoctoral positions at the Universite de Provence, Marseille, France; the Indian Statistical Institute, Delhi, India; the University of Texas at Dallas, USA; and the TIFR-CAM, Bengaluru, India. His research interests are control theory, game theory, networks, probability, optimization, and mathematical finance.
Bibliographic Information
Book Title: Elementary Convexity with Optimization
Authors: Vivek S. Borkar, K. S. Mallikarjuna Rao
Series Title: Texts and Readings in Mathematics
DOI: https://doi.org/10.1007/978-981-99-1652-8
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Hindustan Book Agency 2023
Softcover ISBN: 978-981-99-1651-1Published: 27 June 2023
eBook ISBN: 978-981-99-1652-8Published: 26 June 2023
Series ISSN: 2366-8717
Series E-ISSN: 2366-8725
Edition Number: 1
Number of Pages: XII, 139
Number of Illustrations: 34 b/w illustrations, 2 illustrations in colour
Topics: Optimization