PROB & SOL MATH OLYMPIAD (HS 1‪)‬

The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.

The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.

In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

Contents:
Concepts and Operations of SetsNumber of Elements in a Finite SetQuadratic FunctionsGraphs and Properties of FunctionsPower Functions, Exponential Functions, and Logarithmic FunctionsFunctions with Absolute ValuesMaximum and Minimum Values of FunctionsProperties of InequalitiesBasic InequalitiesSolutions of InequalitiesSynthetical Problems of InequalitiesConcepts and Properties of Trigonometric FunctionsDeformation via Trigonometric IdentitiesTrigonometric InequalitiesExtreme Value Problems of Trigonometric FunctionsInverse Trigonometric Functions and Trigonometric EquationsThe Law of Sines and the Law of CosinesConcepts and Operations of Vectors'Angles' and 'Distances' in SpacesCross Sections, Folding, and UnfoldingProjections and the Area Projection TheoremPartitions of SetsSynthetical Problems of Quadratic FunctionsMaximum and Minimum Values of Discrete QuantitiesSimple Function Iteration and Functional EquationsConstructing Functions to Solve ProblemsVectors and GeometryTetrahedronsThe Five Centers of a TriangleSome Famous Theorems in Plane GeometryThe Extremal Principle
Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.