Handbook of Means and Their Inequalities

Author:   P.S. Bullen
Publisher:   Springer
Edition:   Softcover reprint of hardcover 2nd ed. 2003
Volume:   560
ISBN:  

9789048163830


Pages:   538
Publication Date:   05 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Handbook of Means and Their Inequalities


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Overview

This is a revision of an earlier Means and Their Inequalities by the present author and Professors Mitrinovic and Vasic. Not only does this book bring the earlier version up to date but 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 seventy 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. Audience: This book is written in a language that not only the expert on the subject will understand and appreciate, but graduate students worldwide as well. Any person with an interest in means and their inequalities should find this book within their comprehension although to fully appreciate all the topics covered a knowledge of calculus and of elementary real analysis is required.

Full Product Details

Author:   P.S. Bullen
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 2nd ed. 2003
Volume:   560
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   0.965kg
ISBN:  

9789048163830


ISBN 10:   9048163838
Pages:   538
Publication Date:   05 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

I Introduction.- II The Arithmetic, Geometric and Harmonic Means.- III The Power Means.- IV Quasi-Arithmetic Means.- V Symmetric Polynomial Means.- VI Other Topics.- Books.- Papers.- Name Index.

Reviews

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. --MATHEMATICAL REVIEWS


""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.""--MATHEMATICAL REVIEWS


"""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.""--MATHEMATICAL REVIEWS"


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