Comprehensive Methods for Solving High School Mathematical Olympiad Problems

Author: Zhou Peiyao, Editor-in-Chief
Publisher:
Publish Date: 2004-08-01
Features: High school mathematics education is divided into two aspects: On the one hand, it involves the teaching of elementary mathematics within the high school curriculum, including functions, equations, inequalities, sequences, complex numbers, trigonometric functions, and introductory topics in discrete mathematics such as counting, probability and statistics, calculus, analytical geometry, solid geometry, and vector basics. This knowledge is prepared for university entry and is also common knowledge that young people in society should know, which should be included in the scope of national basic quality education. On the other hand, it involves specialized mathematics courses offered outside the high school curriculum for some students with a strong interest in mathematics, aimed at further revealing the essence of mathematics, developing students' intelligence, and cultivating their rigorous, persistent, and flexible academic attitudes. In-class teaching is aimed at all high school students, while extracurricular teaching is aimed at a portion of students who are capable and eager to learn. This book introduces readers to outstanding problems from major international and domestic mathematical competitions in recent years in the form of competitive mathematics, providing appropriate comments or analyses for each example to help readers grasp the teaching ideas behind the problems. Additionally, it includes excellent examples used by the author during the training of provincial and national mathematical training teams. The breadth of content, the novelty of the materials, and the depth of explanation in this book are unmatched by similar publications in recent years. It is a must-read for mathematics competition coaches and participants preparing for municipal, provincial, national, and world-level high school mathematics competitions. Competitive mathematics training makes people agile and broadens their horizons.