The Art of Problem Solving, Volume 2: and Beyond, is the best-selling textbook used by thousands of successful high school math teams, students and coaches both as preparatory material for competitive events as well as a comprehensive enrichment program in Mathematics. Several students have used this as a building block for performance in the American Mathematics Contest series to qualify for the Math Olympiad Summer Program that trains students for the United States International Math Olympiad team.

This book is appropriate for students who have mastered the problem solving fundamentals presented in its predecessor, The Art of Problem Solving, Volume 1.

This text contains a definitive collection of over several hundred exercises culled from contests such as the Mandelbrot Competition, the AMC tests, and ARML, and a rich assortment of derivative problem sets designed to reinforce a battery of problem solving techniques.

The instructional material is designed to:

• Encourage student enquiry and exploration through problems
• Efficiently use theoretical narrative to reinforce concepts
• Emphasize powerful problem solving techniques and pattern recognition
• Provide a large repository of problems arranged by complexity

The solutions manual, sold with this bundle, contains complete solutions to all the problems.

Sample Excerpts: Table of Contents - Excerpt 1 - Excerpt 2 - Index

Recommended Age and Grade

This book is suited for use by advanced and grade level high school students with a keen interest in problem solving in general and/or mathematics in particular.

Using the Book

This book may be used as:

• A comprehensive self-study course in advanced problem solving for motivated students
• A teaching aid for classroom instruction as well as tutoring
• Comprehensive home-schooling instructional material
• Preparatory material for high school math competitive events
• Reference material as a rich source of well categorized exercises and challenge problems
• Reference material for the AOPS online course titled "AMC 10 Problem Series”, “AMC 12 Problem Series”, “AIME Problem Series A”, “AIME Problem Series B”

Testimonials

"I have been coaching MATHCOUNTS since its inception...and have been the coach of the Indiana team at the National competition for eleven years...During this time I have purchased many useful materials, but I feel your materials are the best I have used with my students..." - Robert J. Fischer, Indiana MATHCOUNTS coach

"Your book meets a great need for students getting into serious math competitions. It's readable, understandable, and comprehensive - a nice bridge into the AIME and the Olympiads. The kids and I love the books." - Joe Holbrook, Academy for the Advancement of Math/Science/Technology

"Perhaps the finest book for Math League students that I have ever seen." - J. Bryan Sullivan, ARML coordinator

About the Author

Richard Rusczyk is a graduate of Princeton University, the founder of Art Of Problem Solving, a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Introduction to Algebra, Intermediate Algebra, and Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search. Over the years, he has coached thousands of young aspiring mathematicians for various competitive events around the world, conducted numerous workshops for parents, students and educators, and advised several foundations and organization on their efforts to support K-12 education.