Lecture Notes on Mathematical Olympiad Courses
For Senior Section Volume 1
BY Jiagu Xu
Summary
Lecture Notes on Mathematical Olympiad Courses (Volume 1) for the Senior Section, authored by former Fudan University professor Jiagu Xu, reframes Olympiad mathematics not as a mere collection of problem-solving tricks, but as a structured educational framework designed to deepen advanced mathematical understanding.
Based on training courses conducted in Singapore, this textbook transcends standard school curricula by weaving fundamental concepts, rigorous theories, and modern mathematical methodologies together into a cohesive study guide. Each lecture prioritizes core theoretical principles over rote memorization, utilizing accessible international competition questions and diverse algebraic and geometric topics—such as fractional equations, trigonometry, and the geometric properties of cyclic polygons—to demonstrate practical applications.
Supplemented by comprehensive solutions for self-testing, the text serves as a versatile resource for self-motivated students, secondary school teachers, and university researchers alike. Ultimately, this work is vital because it bridges the gap between elementary problem-solving and higher-level mathematical reasoning, equipping future innovators with the analytical framework needed to tackle complex, real-world intellectual challenges.
BOOK
For Senior Section Volume 1
BY Jiagu Xu
Summary
Lecture Notes on Mathematical Olympiad Courses (Volume 1) for the Senior Section, authored by former Fudan University professor Jiagu Xu, reframes Olympiad mathematics not as a mere collection of problem-solving tricks, but as a structured educational framework designed to deepen advanced mathematical understanding.
Based on training courses conducted in Singapore, this textbook transcends standard school curricula by weaving fundamental concepts, rigorous theories, and modern mathematical methodologies together into a cohesive study guide. Each lecture prioritizes core theoretical principles over rote memorization, utilizing accessible international competition questions and diverse algebraic and geometric topics—such as fractional equations, trigonometry, and the geometric properties of cyclic polygons—to demonstrate practical applications.
Supplemented by comprehensive solutions for self-testing, the text serves as a versatile resource for self-motivated students, secondary school teachers, and university researchers alike. Ultimately, this work is vital because it bridges the gap between elementary problem-solving and higher-level mathematical reasoning, equipping future innovators with the analytical framework needed to tackle complex, real-world intellectual challenges.
BOOK
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