Build inequality skills from the first algebraic comparison to advanced Olympiad proofs. Olympiad Inequality is a complete student course for learners who know basic algebra and want to develop the judgment needed for mathematical Olympiad problems. Each chapter introduces one useful move, demonstrates it through worked examples, and follows it with nearby short checks and carefully graded exercises. Inside the book: Topics include squares and factorisation, AM-GM and classical means, Cauchy-Schwarz, fractional inequalities, substitutions and equality, rearrangement and Chebyshev, Schur, sums and sequences, integer bounds, geometric inequalities, Jensen, Hölder, advanced symmetric inequalities and mixing variables. The course begins gently, keeps the mathematics central, and gradually trains students to choose and combine methods independently. It is suitable for students beginning Olympiad inequalities as well as stronger learners looking for a structured reference and challenging problem set.
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