Foreword
Preface
1 The Gifted Students
1．1 The Vietnamese Mathematical Olympiad
1．2 High Schools for the Gifted in Maths
1．3 Participating in IMO
2 Basic Notions and Facts
2．1 Algebra
2．1．1 Important inequalities
2．1．2 Polynomials
2．2 Analysis
2．2．1 Convex and concave functions
2．2．2 Weierstrass theorem
2．2．3 Functional equations
2．3 Number Theory
2．3．1 Prime Numbers
2．3．2 Modulo operation
2．3．3 Fermat and Euler theorems
2．3．4 Numeral systems
2．4 Combinatorics
2．4．1 Counting
2．4．2 Newton binomial formula
2．4．3 Dirichlet （or Pigeonhole） principle
2．4．4 Graph
2．5 Geometry
2．5．1 Trigonometric relationship in a triangle and a circle
2．5．2 Trigonometric formulas
2．5．3 Some important theorems
2．5．4 Dihedral and trihedral angles
2．5．5 Tetrahedra
2．5．6 Prism， parallelepiped， pyramid
2．5．7 Cones
……
3 Problems
4 Solutions
5 Olympiad 2009
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