
Problems And Solutions In Mathematical Olympiad (High School 2)
Shi-xiong Liu(Author)
World Scientific Publishing Co Pte Ltd
Published on 12. May 2022
Book
Hardback
608 pages
978-981-12-2988-6 (ISBN)
Description
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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
Primary & secondary/elementary & high school
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 37 mm
Weight
1019 gr
ISBN-13
978-981-12-2988-6 (9789811229886)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Shi-Xiong Liu, Principal of The Associated High School of South China Normal University, Mathematics Grand Grade Teacher, Senior Coach of The Chinese Mathematical Olympiad.
Author
Zhongshan Affiliated School Of South China Normal Univ, China
Translation
University Of Southern Mississippi, Usa
Content
Maximum and Minimum Values; Usual Methods for Proving Inequalities; Common Techniques for Proving Inequalities; Arithmetic and Geometric Sequences; Arithmetic Sequences of Higher Order; Sequence Summation; Synthetic Problems for Sequences; Coordinates Systems; Straight Lines; Circles; Ellipses; Hyperbolas; Parabolas; Parametric Equations; Families of Curves; Derivatives; Mathematical Induction (I); Complex Numbers; Geometric Meaning of Complex Operations; Mean Value Inequalities; Cauchy Inequality; Rearrangement Inequalities; Convex Functions and Jensen's Inequality; Recursive Sequences; Periodic Sequences; Polar Coordinates; Analytic Method for Plane Geometry; Synthetic Problems for Complex Numbers; Mathematical Induction (II); Proof by Contradiction; Construction Method;