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OverviewThis third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems. To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis on topics relevant to current research. Additionally, great care has been taken to ensure that the text remains accessible to a broad audience, including both students and researchers focused on the application of mathematics. Ideal for undergraduate courses, graduate seminars, or as a comprehensive reference, this book is an indispensable resource for those seeking to understand the extensive potential of convex function theory. Full Product DetailsAuthor: Constantin P. Niculescu , Lars-Erik PerssonPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Third Edition 2024 Volume: 14 ISBN: 9783031719660ISBN 10: 3031719662 Pages: 494 Publication Date: 15 December 2024 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Forthcoming Availability: Not yet available  This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsConvex Functions at a First Glance.- More on Convex Functions on Intervals.- Convex Sets in Real Linear Spaces.- Convex Functions on a Normed Linear Space.- Differentiable Convex Functions. 6. Convexity and Majorization.- Convexity in Spaces of Matrices.- Convexity in Spaces of Matrices.- Duality and Convex Optimization.- Special Topics in Majorization Theory. Appendices.- Generalized Convexity on Intervals.- Background on Convex Sets.- Elementary Symmetric Functions.- Second Order Differentiability of Convex Functions.- The Variational Approach of PDE.ReviewsAuthor InformationConstantin P. Niculescu is Professor Emeritus of Mathematics at the University of Craiova, Romania, and an honorary member of the ""Simion Stoilow"" Institute of Mathematics of the Romanian Academy. His research interests include convex analysis, functional analysis, real analysis, history, and heuristics of mathematics. He has authored several books and more than one hundred papers, for which he has been awarded several prizes for research and exposition. Lars-Erik Persson is Professor of Mathematics at UiT, The Arctic University of Norway, Senior Professor at Karlstad University, Sweden, and Professor Emeritus at Uppsala University, Sweden. He has been the President of the Swedish Mathematical Society His research interests include convex analysis, functional analysis, interpolation theory, Fourier analysis, inequalities and homogenization theory He has authored several books and around 250 papers. He has received several awards for research but also for supervision and teaching. Tab Content 6Author Website:Countries AvailableAll regions |
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