Textbook in PDF format

This is the Solutions Manual only to The Art of Problem Solving, Volume 1. The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book. Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.
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