A concise, well-structured set of lecture notes that effectively prepares motivated senior students for olympiad contests. Recommended as a core study supplement, provided readers supplement sparse proofs and diagrams with additional references when necessary.
The book is structured to be a complete, self-study guide. Each chapter, referred to as a "lecture," opens with a concise introduction of key concepts and theorems, followed by solved examples, and concludes with two sets of practice problems (List A and List B). The detailed solutions for all problems are provided at the end of the book, making it an ideal tool for independent study. A concise, well-structured set of lecture notes that
: Theorems are rarely stated without rigorous mathematical proof, teaching students how to write formal solutions. Each chapter, referred to as a "lecture," opens
: Pair your reading with live timed mock contests from past AMC 12 or AIME exams to test your speed and accuracy. : Pair your reading with live timed mock
Which (e.g., Inequalities, Number Theory) gives you the most trouble?
Fractional, higher-degree polynomial, and irrational equations. Logarithmic and indicial functions.
Maintain a error log. If you fail to solve a problem in a specific lecture, revisit it one week later to ensure you have internalized the underlying technique. Finding the PDF and Learning Resources