Contributions in Mathematics and Engineering

In Honor of Constantin Carathéodory

Editors: Pardalos, Panos M., Rassias, Themistocles M (Eds.)

  • ​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
see more benefits

Buy this book

eBook n/a
  • ISBN 978-3-319-31317-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-319-31315-3
  • Free shipping for individuals worldwide
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.      

About the authors

Themistocles M. Rassias is a Professor of Mathematics at National Technical University of Athens. He holds a PhD in Mathematics from the University of California, Berkeley, and has published over fifty books and nearly three hundred journal articles.
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. 

Table of contents (31 chapters)

  • Applications of Quasiconvexity

    Abramovich, S.

    Pages 1-23

  • Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives

    Anderson, Douglas R.

    Pages 25-43

  • Sobolev-Type Inequalities on Manifolds in the Presence of Symmetries and Applications

    Cotsiolis, Athanase (et al.)

    Pages 45-68

  • Generalized Minkowski Functionals

    Czerwik, Stefan (et al.)

    Pages 69-79

  • A Network Design Model Under Uncertainty

    D’Amato, E. (et al.)

    Pages 81-93

Buy this book

eBook n/a
  • ISBN 978-3-319-31317-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-319-31315-3
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Contributions in Mathematics and Engineering
Book Subtitle
In Honor of Constantin Carathéodory
Editors
  • Panos M. Pardalos
  • Themistocles M Rassias
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-31317-7
DOI
10.1007/978-3-319-31317-7
Hardcover ISBN
978-3-319-31315-3
Edition Number
1
Number of Pages
XI, 759
Number of Illustrations and Tables
29 b/w illustrations, 8 illustrations in colour
Topics