Problem Solving Using the Rearrangement Inequality

Math Competition Books Series - The rearrangement inequality is a powerful problem-solving tool. For example, many fundamental inequalities, such as the AM-GM inequality, the Cauchy inequality, and the Chebyshev's inequality, can be generated from the rearrangement inequality.This book shows how you can use the rearrangement inequality to solve a variety of problems.The book can be used by students preparing for math competitions such as Mathcounts, AMC 10/12, AIME (American Invitational Mathematics Examination), and USAJMO/USAMO.