118 Inequalities for Mathematics Competitions

The book comes with a handy summary of classical inequalities complemented by an excellent selection of exercises of varying difficulty levels. For a mathematics buff whose competition days are but a fond memory, revisiting the relevant theoretical background and trying out the problems have proven challenging yet highly rewarding. Whilst a number of techniques (e.g., clever substitutions, normalization, homogenization, sums of squares, etc.) looked largely familiar, I was delighted to realize that I could still learn a few new tricks. Going through the book made me wish more of these training materials had been available during my time. I would highly recommend this volume to all aspiring math Olympians as well as the aficionados and practitioners of this particular chapter of algebra.