Inequalities: Theory of Majorization and Its Applications (Mathematics in Science and Engineering)

Marshall, Albert W.; Olkin, Ingram

ISBN 10: 0124737501 / ISBN 13: 9780124737501

Published by Academic Press, Inc., New York, 1979

About this Item

Hardcover in good condition. No jacket. Spine is sunned. Spine ends are bumped and nicked. Page block is marked. Pages are clean and contents are clear throughout. HCW.

Seller Inventory # 469209

Bibliographic Details

• Title: Inequalities: Theory of Majorization and Its Applications (Mathematics in Science and Engineering)
• Publisher: Academic Press, Inc., New York
• Publication Date: 1979
• Language: English
• ISBN 10: 0124737501
• ISBN 13: 9780124737501
• Binding: Hardcover
• Condition: Good
• Book Type: Used
• Seller catalogs:
  • Mathematics/Accounting

About this title

Synopsis

Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.

From the Back Cover

This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.