Overview
Provides detailed results and examples making the presentation of the theory easily accessible to a wide readership
Presents applications with emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems
Review papers are particularly useful for a broad audience of readers
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Table of contents (31 chapters)
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Front Matter
Keywords
- calculus of variations
- complex network analysis
- data mining
- energy systems
- optimization theory
- quasiconvexity
- superquadracity
- Jensen inequality
- Hardy inequalities
- Kolmogorov result
- Minkowski functional
- tensor product
- Hilbert spaces
- Kronecker's sum
- matrix pencil
- weighted Orlicz space
- Hyers stability
- Galois connections
- Bakhtin metric
- Ekeland variational principle
About this book
The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information.
Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.Editors and Affiliations
About the editors
Panos M. Pardalos serves as Distinguished Professor of Industrial and Systems Engineering at the University of Florida, as well as the Director of the Center for Applied Optimization. He holds a PhD in Computer and Information Sciences from the University of Minnesota, Minneapolis, and has published nearly twenty books and over four hundred papers.
Bibliographic Information
Book Title: Contributions in Mathematics and Engineering
Book Subtitle: In Honor of Constantin Carathéodory
Editors: Panos M. Pardalos, Themistocles M. Rassias
DOI: https://doi.org/10.1007/978-3-319-31317-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-31315-3Published: 12 October 2016
Softcover ISBN: 978-3-319-81010-2Published: 16 June 2018
eBook ISBN: 978-3-319-31317-7Published: 04 October 2016
Edition Number: 1
Number of Pages: XI, 759
Number of Illustrations: 29 b/w illustrations, 8 illustrations in colour
Topics: Functions of a Complex Variable, Dynamical Systems and Ergodic Theory, Real Functions, Measure and Integration, Functional Analysis, Combinatorics