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OverviewThis 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 DetailsAuthor: P.S. BullenPublisher: 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: 9789048163830ISBN 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 ![]() 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 ContentsI 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.ReviewsThis 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" Author InformationTab Content 6Author Website:Countries AvailableAll regions |