Handbook of Means and Their Inequalities

This is a revision of an earlier work. Not only does this book bring the earlier version up to date but it enlarges the scope considerably to give a full and in-depth treatment of all aspects of the field. While the mention of means occurs in many books this is the only full treatment of the subject. Outstanding features of the book are the variety of proofs given for many of the basic results, over 70 for the inequality between the arithmetic and geometric means for instance, an exhaustive bibliography and a list of mathematicians who have contributed to this field from the time of Euclid to the present day. The results discussed and the proofs provided are written in a language that not only the expert in the subject will understand but also graduate students worldwide.