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The art of problem solving. Volume 1, The basics

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Author(s): Lehoczky, Sandor; Rusczyk, Richard
Edition: Seventh edition
Publisher: AoPS Incorporated
Year: 2006

Language: English
Pages: 272
Tags: Problem solving.;Mathematics -- Problems, exercises, etc.;Mathematics.

Content: Exponents and logarithms --
Complex numbers --
Linear equations --
Proportions --
Using the integers --
Quadratic equations --
Special factorizations and clever manipulations --
What numbers really are --
An introduction to circles --
Angles --
Triangles, a.k.a. geometry --
Quadrilaterals --
Polygons --
Angle chasing --
Areas --
The power of coordinates --
Power of a point --
Three dimensional geometry --
Shifts, turns, flips, stretches, and squeezes --
A potpourri of geometry --
Functions --
Inequalities --
Operations and relations --
Sequences and series --
Learning to court --
Statistics and probability --
Sets --
Prove it --
Parting shots.