When a theorem is introduced, cover the proof and try to recreate it yourself. Understanding the mechanism behind a tool is crucial for tweaking it during an exam.
of this series acts as a sturdy bridge. It doesn't just teach you how to solve a problem; it teaches you how to think about a problem. The material is typically structured to take a student from the "algorithmic" thinking of school math to the "creative" thinking required for proofs and heavy-duty synthesis.
: 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
Authored by Xu Jiagu, a former professor of mathematics at Fudan University in China, this book is based on his actual lecture notes from mathematical Olympiad training courses he conducted in Singapore. It is Volume 1 of a two-volume set in the "Mathematical Olympiad Series" published by World Scientific, intended for students at the level, typically equivalent to the final years of high school. When a theorem is introduced, cover the proof
The lecture notes emphasize the development of problem-solving strategies, including:
The volume is organized into 15 focused chapters, each functioning as a self-contained "lecture". The topics covered are foundational for any senior-level Olympiad participant, including:
Senior high school students (approx. 15–18 years old) and Olympiad coaches Focus Areas: Algebra, Trigonometry, and Geometry Core Curriculum & Lectures It doesn't just teach you how to solve
Lecture Notes on Mathematical Olympiad Courses for Senior Section (In 2 Volumes) is the eighth installment in the World Scientific "Mathematical Olympiad Series." The first volume serves as a rigorous and structured guide for students who have moved beyond basic competition math and are ready for advanced problem-solving.
: Detailed solutions for all testing questions are provided at the end of the book, making it suitable for self-study.
Sharing or requesting pirated PDFs of this book is and violates copyright. World Scientific actively protects its publications, and pirated copies often have missing pages, poor formatting, or malware. The "solid" legal PDF ensures all proofs, diagrams, and exercises are intact. It is Volume 1 of a two-volume set
Solving multiple tricky equations at the same time. 3. Combinatorics
Factorization over different fields, remainder theorems, symmetric polynomials, and Vieta's formulas for higher-degree equations.