If you find this series valuable, you will be glad to know it's part of a larger collection. The series also includes a junior section (in two volumes) by the same author and various other titles designed to build mathematical prowess from the ground up.
Properties of circles, power of a point, cyclic polygons, and the "Five Centers of a Triangle". Inequalities:
: Trigonometric functions, Law of Sines/Cosines, manipulation of expressions, and extreme value problems.
Algebra forms the backbone of the senior section. Volume 1 often dives deep into Cauchy-Schwarz, AM-GM, and Jensen's inequalities. Understanding these is crucial for tackling the "Problem 2" or "Problem 5" slots in typical Olympiad papers. 2. Combinatorial Analysis If you find this series valuable, you will
Given its popularity, the PDF version is available through a few channels:
The Mathematical Olympiad course for senior section Vol 1 provides a comprehensive introduction to advanced mathematical concepts and problem-solving strategies. The lecture notes cover a range of topics, including number theory, algebra, geometry, combinatorics, and mathematical induction. By mastering these topics and problem-solving strategies, students can develop a strong foundation for success in Mathematical Olympiad competitions.
When reviewing the solutions, do not just look at the final answer. Analyze the specific algebraic manipulation or logical step that broke the problem open. Understanding these is crucial for tackling the "Problem
: Finding integer solutions to polynomial equations.
This book is designed for a wide audience within the mathematics community. It serves as a:
Counting principles (permutations and combinations), Pigeonhole Principle, Principle of Inclusion-Exclusion, and graph theory basics. Principle of Inclusion-Exclusion
: Each concept is followed by multiple worked examples, ranging from introductory applications to actual past Olympiad questions.
Lecture Notes on Mathematical Olympiad Courses: For Senior Section (Volume 1) , authored by Xu Jiagu, stands out as a definitive textbook series designed to bridge the gap between high school algebra and elite competitive mathematics. Overview of the Textbook
"Lecture Notes on Mathematical Olympiad Courses for Senior Section Vol. 1" is a that has proven its value over time. Its strength lies in its laser focus: by combining a clear theoretical exposition with a curated set of real competition problems, it efficiently bridges the gap between standard high school math and the demands of the Olympiad. The 2024 edition reaffirms its status as a cornerstone in the field.