Rusczyk R. The Art of Problem Solving. Vol 2. Sol. Man. 7ed 2017
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Textbook in PDF format A classic problem solving textbook for students in grades 9-12 who are preparing for advanced high school contests like the AMC 12, AIME, and the Harvard-MIT Mathematics Tournament. Prove it! Logarithms Not just for right triangles More triangles! Cyclic quadrilaterals Conics and polar coordinates Polynomials Functions Taking it to the limit Complex numbers Vectors and matrices Cross products and determinants Analytic geometry Equations and expressions Inequalities Combinatorics Sequences and series Counting in the twilight zone Again and again Probability Find it and make it Collinearity and concurrency Geometry tidbits Number theory Diophantine equations Graph theory Parting shots