Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of problems with detailed solutions.
In the book, each chapter has three parts: (1) knowledge part talking about theorems, formulas, and skills with examples, (2) problems, (3) solutions to the problems.
Topics include:
Solid Geometry - Cube and Prism
Plane Geometry Similar Triangles
Algebraic Manipulations
Solving Equations
Cauchy Inequalities