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MAA Reviews

Lecture Notes on Mathematical Olympiad Courses: For Senior Section Vol. 1

Xu Jiagu

Table of Contents

  • Fractional Equations
  • Higher Degree Polynomial Equations
  • Irrational Equations
  • Indicial Functions and Logarithmic Functions
  • Trigonometric Functions
  • Law of Sines and Law of Cosines
  • Manipulations of Trigonometric Expressions
  • Extreme Values of Functions and Mean Inequality
  • Extreme Value Problems in Trigonometry
  • Fundamental Properties of Circles
  • Relation of Line and Circle and Relation of Circles
  • Cyclic Polygons
  • Power of a Point with Respect to a Circle
  • Some Important Theorems in Geometry
  • Five Centers of a Triangle

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