Problems in Geometry: Based on International Mathematical Olympiad

In this review of Problems in Geometry: Based on International mathematical Olympiad the reviewer finds a focused collection that suits advanced students and contest trainers seeking challenging Euclidean geometry problems. The book concentrates on classical plane geometry topics such as lines, triangles and squares and is best for readers who already have a firm grasp of basic theorems. The single biggest reason to buy is the selection of difficult, Olympiad-style problems that encourage deeper reasoning rather than routine exercise.

Key Features

• Olympiad-focused problems: The book gathers a range of tough problems drawn with the intention of preparing readers for International Mathematical Olympiad style challenges, which sharpens contest techniques.
• Euclidean geometry emphasis: Problems are based on Euclidean geometry, reinforcing classical constructions and proofs that build formal logical thinking.
• Covers core figures: Exercises concentrate on lines, triangles and square and related figures so a reader can master the most commonly tested configurations.
• Concept-driven difficulty: Many problems are selected for their depth rather than length, encouraging learners to develop creative solution strategies.
• Useful for self-study: The focused scope and problem selection make the book practical for motivated students to work through independently or with a coach.

Who It's For

This book is aimed at high school students preparing for mathematical olympiads, teachers who coach contest teams, and motivated self-learners who want a concentrated set of challenging Euclidean problems. It is particularly helpful for readers who already understand basic geometry theorems and want to move into deeper problem solving.

It is less suitable for complete beginners or for those looking for a broad textbook on geometry theory; readers who need extensive exposition, step-by-step tutorials, or diverse topics beyond plane Euclidean geometry should look for an introductory or comprehensive geometry text instead.

Pros & Cons

Pros

• Concentrated collection of difficult problems ideal for olympiad preparation.
• Strong focus on Euclidean methods that strengthens formal logical reasoning.
• Useful for self-study and coaching due to problem-driven structure.

Cons

• Limited explanatory exposition means it assumes prior knowledge and may frustrate beginners.

Specifications

Our Verdict

Problems in Geometry is a focused resource for readers serious about contest-level Euclidean geometry; it offers challenging problems that reward prior knowledge and logical skill. For coaches and advanced students it represents good value because the selected problems drive conceptual growth and exam readiness.

Frequently Asked Questions

Does this book teach basic geometry theorems?
The book emphasizes problems and assumes readers already know basic Euclidean theorems rather than providing detailed introductory exposition.

Who benefits most from this collection?
High school students preparing for olympiads and teachers who coach contests will gain the most from the difficult, focused problem set.

Is this suitable for self-study?
Yes, motivated self-learners with prior geometry knowledge can work through the problems independently to improve problem solving.