TY  - BOOK
AU  - Su,Yong
AU  - Xiong,Bin
TI  - Methods and techniques for proving inequalities
T2  - Mathematical Olympiad series
SN  - 9789814696456
U1  - 515.3 23
PY  - 2016///
CY  - Singapore
PB  - World Scientific
KW  - Inequalities (Mathematics)
KW  - Differential equations
KW  - Numerical solutions
KW  - Difference equations
N1  - 1. Basic techniques for proving inequalities --
2. Identical transformation of the sun --
3. Substitution method --
4. Proof by contradiction --
5. Construction method --
6. Local inequality --
7. Mathematical induction and inequality --
8. Inequality and extremum for multi-variable function --
9. Special techniques for proving inequalities --
Detailed solutions to exercises
N2  - 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 authors are 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 explains many basic techniques for proving inequalities such as direct comparison, method of magnifying and reducing, substitution method, construction method, and so on
ER  -