The New Class Society introduces students to the sociology of class structure and inequalities as it asks whether or not the American dream has faded. The fourth edition of this powerful book demonstrates how and why class inequalities in the United States have been widened, hardened, and become more entrenched than ever.

In many countries, concern about socio-economic inequalities in educational attainment has focused on inequalities in test scores and grades. The presumption has been that the best way to reduce inequalities in educational outcomes is to reduce inequalities in performance. But is this presumption correct?

Inequalities: A Mathematical Olympiad Approach

This book presents classical inequalities and specific inequalities which are particularly useful for attacking and solving optimization problems. Most of the examples, exercises and problems that appear in the book originate from Mathematical Olympiad contests around the world. The material is divided into four chapters. In Chapter 1 algebraic inequalities are presented, starting with the basic ones and ending with more sophisticated techniques; Chapter 2 deals with geometric inequalities and Chapter 3 comprises a comprehensive list of recent problems that appeared in those contests during the last 14 years. Finally, hints and solutions to all exercises and problems are given in Chapter 4.

Inequalities

The present booklet contains some particularly interesting inequalities playing an important role in various sections of higher mathematics. These inequalities are used for finding the greatest and least values as well as for calculating the limits. The booklet contains 63 problems and most of them are provided with detailed solutions.