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Build a strong foundation in inequalities, then progress to RMO and beyond.

Olympiad Inequality: From Basic Algebra to RMO and Beyond by Ajeet Dubey is a structured student course from Mathiit. Starting with ordinary school algebra, it develops the ideas and proof techniques used in mathematical Olympiad problems.

Across 20 chapters, students study squares and quadratic expressions, AM-GM, Cauchy-Schwarz, fractions, equality cases, rearrangement, Schur's inequality, sequences, bounds and geometric inequalities. Later chapters introduce weighted means, convexity and Jensen, Hölder, symmetric polynomial inequalities and mixing variables.

• Worked examples explain the reasoning behind each step.
• Two exercise levels develop fundamentals and extend problem-solving toward RMO and beyond.
• Hints and complete exercise solutions support independent study.
• Selected RMO and IMO problems are identified by year and problem number.
• A guide to methods and formula reference help with revision.

Designed for students who want to understand why an inequality is true, recognise useful methods and write clear proofs.

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