This book is structured to take readers on a journey from the fundamental building blocks of inequality theory all the way to advanced, creative problems. It begins with a comprehensive overview of key algebraic and geometric inequalities, providing the tools needed to tackle more complex challenges. The heart of the book lies in its extensive collection of original problems, organized by the number of variables and symmetry. These aren’t just random exercises—each one is designed to be both beautiful and demanding, requiring insight rather than brute force. The final chapter offers detailed solutions, often with multiple approaches and helpful commentary, making it a fantastic learning resource. The writing is passionate and personal, reflecting the author’s own journey and love for the subject.
15-Oct-2025
Okay, so I finally got through most of this book, and wow—it's honestly one of the best resources I've found for inequality problems. At first, I was a bit intimidated by the sheer number of theorems in the first chapter, but having them all in one place is actually super helpful. I keep going back to it as a reference. The problems are where it really shines. They’re so cleverly crafted. Some of them look impossible at first glance, but then you have that "aha!" moment and everything clicks. I love that the solutions aren’t just one-line answers; they show different ways to approach the same problem, which really helps you build a toolkit of strategies. The geometric section was a nice surprise too—it’s cool to see how algebraic methods can be used to prove things about triangles and circles. It’s not a book you just read once; it’s one you work through slowly, and you definitely get better with each problem. The author’s passion for the topic is contagious. If you're into math contests or just love a good puzzle, you need to check this out. It’s challenging but incredibly rewarding.