Math Problem Book I Compiled By Kin Y. Li Apr 2026

Focuses on functional equations, inequalities (including Cauchy-Schwarz and AM-GM), and complex polynomial identities.

Mathematics is often taught as a series of procedures, but for the competitive problem solver, it is an art form defined by elegance and ingenuity. Kin Y. Li’s Mathematical Problem Book I serves as a bridge between standard textbook exercises and the rigorous demands of high-level olympiads. Compiled from years of coaching experience and the archives of the Mathematical Excalibur, this volume is more than a list of questions; it is a curated curriculum designed to develop mathematical maturity. Structural Design and Content

The solutions provided are not just answers; they are models of mathematical brevity. They teach students how to write rigorous proofs that are both logical and aesthetically pleasing. Math Problem Book I compiled by Kin Y. Li

What sets Li’s compilation apart is its focus on Unlike many Western textbooks that provide exhaustive theory before a single exercise, Li’s book operates on the principle of discovery.

Explores modular arithmetic, Diophantine equations, and the properties of prime numbers. Li’s Mathematical Problem Book I serves as a

Kin Y. Li’s Mathematical Problem Book I is a celebrated collection among competitive mathematics circles, particularly those preparing for the International Mathematical Olympiad (IMO). The following essay explores the book's structure, pedagogical philosophy, and its enduring value to the mathematical community.

If you would like to refine this further, I can help if you tell me: They teach students how to write rigorous proofs

The book is meticulously organised into key domains that form the "four pillars" of competitive mathematics: