书籍详情
世界数学奥林匹克经典:越南数学奥林匹克题选(1962―2009)
作者:[越] 黎海洲(Hai Chau Le),[越] 黎海启(Hai Khoi Le) 编
出版社:世界图书出版公司
出版时间:2022-09-01
ISBN:9787519295967
定价:¥59.00
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内容简介
《世界数学奥林匹克经典》由数学竞赛命题委员会主席和数学邀请赛命题委员会主席等专家共同编著。《世界数学奥林匹克经典》自出版后就深受广大使用者的好评。《世界数学奥林匹克经典》为英文版本。
作者简介
作者简介黎海洲是越南数学教育教父级的人物,于2008年被越南政府授予“人民教师”殊荣,他从1955年开始就任职于越南教育司,曾担任IMO越南队领队和主教练。黎海启是黎海洲的儿子,曾是IMO越南国家队成员,他在俄罗斯罗斯托夫国立大学获得数学博士学位,目前任教于越南科学院和新加坡南洋理工大学。
目录
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
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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