Convex Functions and their Applications (eBook)

A Contemporary Approach

Constantin Niculescu, Lars-Erik Persson (Autoren)

eBook Download: PDF

2006 | 2006
XVI, 256 Seiten
Springer New York (Verlag)
978-0-387-31077-0 (ISBN)

Infos

Convex functions play an important role in almost all branches of mathematics as well as other areas of science and engineering. This book is a thorough introduction to contemporary convex function theory addressed to all people whose research or teaching interests intersect with the field of convexity. It covers a large variety of subjects, from the one real variable case (with all its mathematical gems) to some of the most advanced topics such as Choquet's theory, the Prékopa-Leindler type inequalities and their ramifications, as well as the variational approach of partial differential equations and convex programming. Many results are new and the whole book reflects the authors’ own experience, both in teaching and research. The book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering and it can also be used for graduate courses.

Inhalt

* Convex Functions on Intervals * Comparative Convexity on Intervals * Convex Functions on Banach Spaces * Choquet’s Theory * A Background on Convex Sets * B Elementary Symmetric Functions * C The Convex Programming Problem * D The Variational Approach of PDE * E Horn’s Conjecture

Produkt-Details

• Erscheint lt. Verlag: 11.2.2006
• Reihe/Serie: CMS Books in Mathematics
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik
• Schlagworte: Banach spaces • Convexity • differential equation • Mathematica • partial differential equation
• ISBN-10: 0-387-31077-0 / 0387310770
• ISBN-13: 978-0-387-31077-0 / 9780387310770