The back of the book shows you exactly how to solve the problems. How to Study Using This Guide
Algebra forms the backbone of the senior section. The text moves past basic quadratic equations into:
For rigorous mathematics, working out of a physical paperback is often highly recommended to reduce screen fatigue and allow for easy margin-notetaking.
The book is structured into 15 specific "lectures," each serving as a self-contained module that focuses on essential theories and unconventional solving techniques. The back of the book shows you exactly
Maintain a error log. If you cannot solve an exercise, read the solution, wait a few days, and attempt the problem again from scratch.
When you open this PDF, you aren't reading a dictionary of definitions. You are reading a transcript of how a master coach explains concepts to a live audience. The tone is often:
If you are an aspiring mathematician or a high school student preparing for competitive math exams, you have likely come across the title . Written by Xu Jiagu and published by World Scientific, this highly regarded text serves as a definitive blueprint for mastering advanced problem-solving techniques. The book is structured into 15 specific "lectures,"
: The material is derived from over 15 years of Olympiad training notes used in top Singaporean schools like Hwa Chong Institution and Victoria Junior College Amazon.com Two-Tiered Question Sets : Each lecture ends with practice problems divided into (foundational practice) and (challenging questions from actual worldwide competitions) WordPress.com Self-Contained Modules
The is geared toward students in higher secondary school (roughly equivalent to high school seniors or first-year undergraduates) who are preparing for national or international level competitions. Core Topics Covered in Volume 1 (PDF)
Many students look for a PDF copy of this book online for easy study on tablets or laptops. When searching for educational resources, always look for legitimate university repositories, open-access libraries, or authorized publishers to ensure you get a complete and accurate copy. When you open this PDF, you aren't reading
Combinatorics is the math of counting and arranging things. It answers questions about probability and logic games. Permutations and combinations.
The "Lecture Notes on Mathematical Olympiad Courses for Senior Section, Volume 1" is a fundamental resource for students aspiring to compete at the highest levels of high school mathematics. Authored primarily by Xu Jiagu, this volume serves as a bridge between standard school curricula and the rigorous, creative demands of national and international competitions like the IMO. It is not merely a collection of problems but a structured pedagogical tool designed to cultivate advanced mathematical intuition.
Essential for solving higher-level number theory problems.
Divisibility, modular arithmetic, Fermat's Little Theorem, Diophantine equations, and prime factorization.
: Do not just read the proofs; recreate them on paper without looking at the book.