Convex
Functions and their Applications
Springer-Verlag
Series: CMS
Books in Mathematics
Niculescu,
Constantin, Persson,
Lars-Erik
2006, XVI, 255 p. 8 illus., Hardcover
ISBN: 0-387-24300-3
About this textbook
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.
Written for:
Graduate
mathematics students; mathematicians