, authored by Jiagu Xu, is a comprehensive training resource designed to bridge the gap between standard high school mathematics and the advanced creative techniques required for international competitions Amazon.com Core Content and Structure
: Techniques for ordered sequences. 🛠️ Core Pedagogical Features
Finding integer solutions to polynomial equations using factorization and bounding methods.
If you have ever peered into the world of competitive mathematics—beyond the school curriculum, beyond the standard textbooks—you have likely encountered a wall. The problems from the IMO (International Mathematical Olympiad), the Asian Pacific, or the USAMO don’t just test knowledge; they test ingenuity . , authored by Jiagu Xu, is a comprehensive
Many universities publish their training materials online for free.
Power of a Point, cyclic quadrilaterals, and Ptolemy’s Theorem.
This series has been reviewed by the Mathematical Association of America (MAA), which noted its similarities to Arthur Engel's classic Problem-Solving Strategies . The review highlighted that Xu's explanations are more concise and focused, with fewer problems having multiple solutions. However, the reviewer compensated for this brevity by appreciating the careful selection of List A problems, which are tightly correlated with the solved examples. The reviewer praised the book's utility for both Olympiad coaches and individual students, finding only one minor typo and even admitting that the book's solution was often superior to their own. This series has been reviewed by the Mathematical
Standard school textbooks focus on rote memorization and repetitive formulas. Math Olympiads, however, demand deep logical reasoning, creativity, and the ability to connect seemingly unrelated mathematical concepts.
Developing logical counting techniques for intricate, constrained systems. 3. How to Find and Utilize the PDF Resource
The report is based on a draft review.
There is a notorious gap between "AMC 10/12" level and "AIME/IMO" level. Volume 1 of the senior section is the perfect bridge. It introduces advanced lemmas (like LTE - Lifting The Exponent Lemma) without assuming you have a PhD.
Using weak and strong induction to prove sequences, series, and divisibility rules. Key Features and Pedagogical Structure
Understanding roots, factorization, Vieta's formulas, and the Remainder Theorem. and the Remainder Theorem.