This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not ``linear''. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also ``secret'' pathways through the book. Each chapter has a subtext, a theme...
This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalit...