Geometric Inequalities
In Mathematical Olympiad and Competitions
Nonfiction, Science & Nature, Mathematics, Geometry
| Author: | Gangsong Leng, Yongming Liu | ISBN: | 9789814696500 |
| Publisher: | World Scientific Publishing Company | Publication: | October 21, 2015 |
| Imprint: | WSPC/ECNUP | Language: | English |
| Author: | Gangsong Leng, Yongming Liu |
| ISBN: | 9789814696500 |
| Publisher: | World Scientific Publishing Company |
| Publication: | October 21, 2015 |
| Imprint: | WSPC/ECNUP |
| Language: | English |
In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they won the first place almost every year.
The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.
This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.
Contents:
- The Method of Segment Replacement for Distance Inequalities
- Ptolemy's Inequality and Its Application
- Inequality for the Inscribed Quadrilateral
- The Area Inequality for Special Polygons
- Linear Geometric Inequalities
- Algebraic Methods
- Isoperimetric and Extremal Value Problem
- Embed Inequality and Inequality for Moment of Inertia
- Locus Problem of Tsintsifas's Inequality
- Shum's Minimal Circle Problem
- Inequalities for Tetrahedron
Readership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts.
Key Features:
- China has performed outstandingly in IMO and the book gathers from the tutorial experience of many excellent teachers
- The author is one of the leading experts in aspects of maths contests in China as the coach of China's IMO National Team
- The Chinese version of the book has been very popular
In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they won the first place almost every year.
The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.
This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.
Contents:
- The Method of Segment Replacement for Distance Inequalities
- Ptolemy's Inequality and Its Application
- Inequality for the Inscribed Quadrilateral
- The Area Inequality for Special Polygons
- Linear Geometric Inequalities
- Algebraic Methods
- Isoperimetric and Extremal Value Problem
- Embed Inequality and Inequality for Moment of Inertia
- Locus Problem of Tsintsifas's Inequality
- Shum's Minimal Circle Problem
- Inequalities for Tetrahedron
Readership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts.
Key Features:
- China has performed outstandingly in IMO and the book gathers from the tutorial experience of many excellent teachers
- The author is one of the leading experts in aspects of maths contests in China as the coach of China's IMO National Team
- The Chinese version of the book has been very popular
