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Methods and Techniques for Proving Inequalities [Yang Su] - mklabgr - 09-15-2026
Methods and Techniques for Proving Inequalities: In Mathematical Olympiad and Competitions, written by Yong Su and Bin Xiong (coaches of China’s International Mathematical Olympiad national team), is part of the World Scientific Mathematical Olympiad Series. The book is specifically designed to help high school students, math teachers, undergraduates, and competition enthusiasts master the art and mechanics of mathematical inequalities. Drawing from China's premier track record in high-level math contests, the text bridges foundational concepts with the rigorous problem-solving strategies required at the highest competitive levels.
Structurally, the book guides readers through a comprehensive toolkit of proof strategies, moving from core principles to advanced applications. It covers essential techniques such as direct comparison, substitution methods, proof by contradiction, construction methods, local inequalities, mathematical induction, and handling multi-variable functions and extrema. Supplemented with detailed solutions to exercises, the volume serves as both a systematic textbook and a practical handbook for tackling complex algebraic and competitive math challenges.
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