Author: Sandor Lehoczky and Richard Rusczyk
The Art of Problem Solving, Volume 1: The Basics (7th Edition) by Sandor Lehoczky and Richard Rusczyk is a foundational book for middle and high school students beginning competitive math. It covers a broad range of topics like algebra, number theory, counting, and geometry with a focus on deep understanding over memorization. The book uses problems from real math contests like MATHCOUNTS and AMC to build strong problem-solving skills. It encourages logical thinking, exploration, and strategy development. Written in an engaging and accessible style, it is ideal for motivated students in grades 7–10. Each chapter includes clear explanations, practice problems, and full solutions (in a separate manual). It’s perfect for both classroom learning and self-study. The book doesn’t just teach math—it teaches how to think mathematically. It builds habits that are essential for success in advanced math and competitions. Overall, it's one of the best introductions to serious problem solving for young math learners.