A New Milestone for Mathematics Elevate Academy

After years of teaching, mentoring, writing, and refining olympiad mathematics, I am delighted to announce the release of the first two books in the Olympiad Mathematics Series – Pillar III: Geometry.

These books have been written with a single vision:

To bridge the gap between classroom geometry and the rigorous mathematical thinking required for national and international mathematical olympiads.

Unlike conventional textbooks that focus primarily on formulas and isolated theorems, Olympiad Geometry – The Explorer develops geometry as a logical language. Every theorem is motivated, every proof is carefully explained, and every chapter is designed to cultivate mathematical maturity rather than rote memorization.

Whether you are preparing for AMC, AIME, USAMO, INMO, BMO, EGMO, or ultimately the International Mathematical Olympiad (IMO), these books provide a structured pathway from foundational concepts to advanced olympiad problem solving.

📘 Book 1

Olympiad Geometry – The Explorer

Volume I: Part I: Foundations of Olympiad Geometry

ASIN: B0G33MP93C

Available in:

• Kindle Edition
• Paperback Edition

What You’ll Learn

This volume establishes the essential language of olympiad geometry and develops the core toolkit required for advanced problem solving.

Topics include:

• The Language of Geometry
• Classical and Directed Angles
• Isometries and Transformations
• Similarity and Ratio Chasing
• Circle Geometry
• Trigonometry in Geometry
• Area Methods
• Ceva’s and Menelaus’ Theorems

Every chapter includes:

• Complete theory
• Rigorous proofs
• Intuitive explanations
• Carefully drawn geometric diagrams
• Fully worked examples
• Common traps and misconceptions
• Chapter summaries
• Olympiad-style exercises
• Hints for selected problems

This book is ideal for students beginning their olympiad geometry journey while also serving as a valuable reference for teachers and mathematics enthusiasts.

📙 Book 2

Olympiad Geometry – The Explorer

Volume I: Part II: Advanced Foundations of Olympiad Geometry

ASIN: B0H9F39ST3

Available in:

• Kindle Edition
• Paperback Edition

What You’ll Learn

Part II builds directly upon the foundations established in Part I and explores the deeper ideas that frequently appear in advanced olympiad geometry.

Topics include:

• Triangle Centres
• Euler Line
• Nine-Point Circle
• Feuerbach’s Theorem
• Power of a Point
• Radical Axis
• Radical Centre
• Homothety
• Centres of Similitude
• Tangency Configurations
• Monge’s Theorem
• Locus Problems
• Geometric Inequalities
• Coordinate and Vector Geometry
• Olympiad Proof Strategies
• National Olympiad Problem Solving

This volume is designed for students progressing towards national and international mathematical olympiads and emphasizes elegant proofs, strategic thinking, and advanced geometric techniques.

Why This Series Is Different

Most geometry books either focus on elementary school geometry or present collections of olympiad problems without sufficient theoretical development.

The Olympiad Mathematics Series takes a different approach.

Every concept is introduced from first principles, developed rigorously, and connected to authentic olympiad techniques. The goal is not merely to teach students how to solve problems, but to help them understand why mathematical ideas work.

Each volume has been carefully typeset using professional \LaTeX{}, includes high-quality diagrams, and follows a logical progression that supports long-term mathematical growth.

Who Should Read These Books?

These books are ideal for:

• Students preparing for AMC 10/12
• AIME aspirants
• USAMO candidates
• INMO aspirants
• BMO participants
• EGMO competitors
• IMO trainees
• Mathematics teachers
• Olympiad coaches
• Mathematics clubs
• Anyone passionate about Euclidean geometry

Available Worldwide

Volume I – Part I (ASIN: B0G33MP93C)

United States

United Kingdom

Singapore

European Union

Australia

Japan

Germany

Volume I – Part II (ASIN: B0H9F39ST3)

United States

United Kingdom

Singapore

European Union

Australia

Japan

Germany

Looking Ahead

The release of these two books marks the beginning of a much larger vision.

The Olympiad Mathematics Series will continue to expand across all major areas of competition mathematics, including:

• Algebra
• Number Theory
• Combinatorics
• Functional Equations
• Inequalities
• Advanced Geometry
• Mathematical Problem Solving
• International Olympiad Preparation

Each volume is designed to maintain the same standards of mathematical rigour, clarity, and depth that underpin this inaugural Geometry collection.

A Personal Note

Writing these books has been one of the most rewarding projects of my teaching career. Every page reflects countless hours spent refining explanations, constructing diagrams, developing examples, and organizing ideas into a coherent learning journey.

I sincerely hope these books become trusted companions for students, educators, and mathematics enthusiasts around the world.

If Olympiad Geometry – The Explorer helps even one student discover the beauty of rigorous mathematical thinking, then this effort has been worthwhile.

Thank you for your continued support.

Happy learning, and enjoy the wonderful world of Olympiad Geometry!

Rishabh Kumar
Founder, Mathematics Elevate Academy