Berlin; New York; Dordrecht: Springer-Science+Business-Media Dordrecht, Kluwer Academic Publishers, 2003. — XXVII, 537 p. — (Mathematics and Its Applications, Volume 560).
Classical treatise on means and inequalities.
This book is indeed a handbook: it is hard to find a subfield of inequalities related to means that is not described in detail, or at least referred to. It is written in a language that can be understood not only by experts but also by graduate students and others who are interested in the applications: the only requirement on readers is a knowledge of calculus and elementary real analysis.
Here is a complete and in-depth treatment of the subject of means plus complete bibliography on more than seventy pages.
Introduction
The Arithmetic, Geometric and Harmonic Means
The Power Means
Quasi-Arithmetic Means
Symmetric Polynomial Means
Other Topics
Bibliography
Name Index
Index