Since I cannot access the specific PDF, this review is based on standard expectations for a "Volume 7" in a rigorous Olympiad series—targeting advanced national-level (e.g., USAMO, Chinese MO) and entry-level international (IMO) preparation. Rating: 4.6/5 Target Audience: Students who have mastered basic Olympiad techniques (Volume 1–6) and are now tackling hard combinatorics, number theory, inequalities, and geometry . Key Strength: Exceptional problem selection, but light on theory for self-learners. 1. Content & Structure The book is divided into 6 core chapters plus a solutions appendix . Each chapter follows: theory capsule → worked examples → exercise sets (graded: Warming Up, Training Camp, IMO Arena) .
| Chapter | Topic | Notable Problems | |--------|-------------------------------|-----------------------------------| | 1 | Advanced Combinatorial Designs | Block designs, finite projective planes | | 2 | Functional Equations over N, Z, Q | Cauchy-type, involution, and periodic functions | | 3 | Hard Inequalities (Muirhead, Schur, Mixing Variables) | Non-homogeneous, with constraints | | 4 | Complex Numbers in Geometry | Rotations, spiral similarities, roots of unity | | 5 | Number Theory: Lifting the Exponent (LTE) & Orders | Diophantine equations with prime powers | | 6 | Graph Theory & Extremal Combinatorics | Turán’s theorem, Ramsey numbers, probabilistic method | Since I cannot access the specific PDF, this
Please enter this site only if you are of legal purchase age for alcohol in your state or country. By entering this site you accept our terms and conditions and privacy policy.
