![Convex Functions and their Applications: A Contemporary Approach [Repost]](https://pixhost.icu/avaxhome/a4/85/002a85a4_medium.jpeg)
Convex Functions and their Applications: A Contemporary Approach [Repost]
![Convex Functions and their Applications: A Contemporary Approach [Repost]](https://pixhost.icu/avaxhome/a4/85/002a85a4.jpeg)
Constantin Niculescu, Lars-Erik Persson - Convex Functions and their Applications: A Contemporary Approach
Published: 2005-12-19 | ISBN: 0387243003 | PDF | 255 pages | 3 MB
Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory.
This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors’ own experience, both in teaching and research.