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
Solid Geometry - Tetrahedron
Counting with Solid Geometry
Plane Geometry Similar Triangles
Plane Geometry Area and Area Method
Plane Geometry Menelaus and Ceva
Algebraic Manipulations
Logarithms
Solving Equations
Cauchy Inequalities