Combinatorial Extremization In Mathematical Olympiad And Competitions

Combinatorial Extremization

Combinatorial Extremization: In Mathematical Olympiad And Competitions

In China, lots of excellent students who are good at maths takes an active part 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 have 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 methods of discrete extremization, such as inequality control, repeated extremum, partial adjustment, exploiting symmetry, polishing transform, space estimates, etc.

Theory And Problems For Chemistry Olympiad: Challenging Concepts In Chemistry

This study guide for the Chemistry Olympiad contains summarized concepts and examples in all areas of chemistry. The chapters are arranged in a logical manner and establishes connections between concepts. Undergraduate chemistry concepts are explained clearly: every equation in physical chemistry is derived and justified while every organic reaction has its reaction mechanism shown and explained, without assuming that readers have university-level background in the subject. The book also contains original Chemistry Olympiad sample problems that readers may use to test their knowledge.This is a first book of its kind, written by Nan Zhihan, International Chemistry Olympiad (IChO) gold medallist and winner of the International Union of Pure and Applied Chemistry (IUPAC) Prize for achieving the highest score in the experimental exam, and experienced Chemistry Olympiad trainer Dr Zhang Sheng, who has served as head mentor of Singapore IChO team for many years. It builds on the experience of both a participant and trainer to help any aspiring Chemistry Olympiad student understand the challenging concepts in chemistry.