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This book would certainly help Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various competitive levels. The authors hope the book will be a source of inspiration for proving algebraic inequalities and some of their newfound applications.
The book features selected techniques in the field. Inequalities from each section are ordered increasingly by the number of variables and the degree of difficulty. Each problem has at least one complete solution, and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.
Description
This book would certainly help Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various competitive levels. The authors hope the book will be a source of inspiration for proving algebraic inequalities and some of their newfound applications.
The book features selected techniques in the field. Inequalities from each section are ordered increasingly by the number of variables and the degree of difficulty. Each problem has at least one complete solution, and many problems have multiple solutions, useful in developing the necessary array of mathematical machinery for competitions.