Lecture Notes On Mathematical Olympiad Courses For Senior Section Vol 1 Pdf Jun 2026

Securing a copy of is a major milestone for any high school student aiming to compete at national or international levels. This text, written by Xu Jiagu and published by World Scientific, is widely regarded as a definitive roadmap for mastering advanced competitive mathematics. Unlike standard school curricula, this book bridges the gap between basic high school algebra and the rigorous, proof-based problem-solving required by the International Mathematical Olympiad (IMO). Why This Book is Essential for Olympiad Aspirants

: Challenging problems taken from real national and international competitions (like the IMO) to test original thinking and advanced application. Key Topics and Educational Benefits

This is where the "puzzle" aspect of math shines.

Understanding the properties of integers and solving complex divisibility problems. D. Combinatorics Securing a copy of is a major milestone

Essential for solving higher-level number theory problems.

Power of a Point, cyclic quadrilaterals, and Ptolemy’s Theorem.

Because you have a PDF (searchable), do not print the whole book. Instead: Why This Book is Essential for Olympiad Aspirants

Comprehensive guides to proving classical inequalities like AM-GM (Arithmetic Mean-Geometric Mean), Cauchy-Schwarz, and Rearrangement inequalities.

Divisibility, modular arithmetic, Fermat's Little Theorem, Diophantine equations, and prime factorization.

Euclidean geometry, circle theorems, and barycentric coordinates. Why Use These Lecture Notes? Because you have a PDF (searchable)

: Every lecture concludes with two sets of practice questions:

Authored by Jiagu Xu, a former professor of mathematics at Fudan University in China, this book is the first of two volumes that together form Volume 8 of the prestigious published by World Scientific. It serves as the foundation for the senior section of the author's lecture notes from mathematical Olympiad training courses conducted in Singapore.